course program - luleå university of technology/syllabus 3a 4a-1.pdf · course program 2005 –...
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EEIGM - INPL
6, rue Bastien Lepage - BP 630 - 54010 Nancy Cedex - France Tél. : +33 / 3.83.36.83.00 - Fax. : +33 / 3.83.36.83.36
E-mail : [email protected] - Web : www.eeigm.inpl-nancy.fr
CCoouurrssee PPrrooggrraamm
22000055 –– 22000066
IInnssttiittuutt NNaattiioonnaall PPoollyytteecchhnniiqquuee ddee LLoorrrraaiinnee
3th Year
Semester 5
NUMERICAL ANALYSIS
Teacher in charge:
• Gérard MAURICE
Hours: Lecture: 24 h Tutorial: 24 h Practical work: h
Objectives: Presentation of the elemental numerical techniques dedicated to the resolution of partial differential equations appearing in physics.
Program: Elementary presentation of the finite difference and finite elements methods. Interpolation and approximation (parametrical fitting). Numerical integration. Resolution of linear systems of equations. Resolution of non-linear systems. Calculation of eigen values and eigen vectors.
References:
• Arbentz - All, Analyse numérique - Eléments d'analyse numérique et appliquée, Presses Polytechniques et universitaires romandes
• Gallagher R.H., Introduction aux éléments finis, Pluralis • Lascaux, Théodor, Analyse numérique matricielle appliquée à l'art de
l'ingénieur (Tomes 1 et 2) • Press W.H. et All, Numerical Recipes, Cambridge University Press • Sibony, Marsdon, Analyse numérique (Tomes 1 et 2), Hermann • Zienkiewicz O.C., Taylor R.L., The finite element method, McGraw-Hill
Assessment : One 2 hours final exam + one 2 hours partial test.
INSTRUMENTATION
Teacher in charge:
• Christian DAUL
September 2005 -3-
Hours: Lecture: 13,5 h Tutorial: 13,5 h Practical work: 0 h
Objectives: This course presents the essential parts of a classical measurement chain beginning with data acquisition and ending with the treatment of analogue or numerical data. Its main goal is to pinpoint the precautions which must be taken for measurements and signal transmissions. The emphasis is placed on the functional aspect of the different components related to the acquisition chain while the technological aspect is less developed. At the end of the course, the students will be able to choose the different parts of an instrumentation chain according to well defined criteria.
Program: Sensor and data acquisition – Analogue signal amplifying and filtering – Information transmission – Data sampling – Analogue Digital Converter – Shannon theorem – Digital signal processing – Digital filtering.
References:
• Asch G. et collaborateurs, Les capteurs en instrumentation industrielle (5ème édition), 1998, Dunod
• Cottet Francis, Traitement des signaux et acquisition de données, 1997, Dunod
Assessment : About 2 hours (an average mark is computed with the mark obtained for this course and that of the « modelisation of linear systems » course).
LABORATORY WORK : MEASUREMENT and DATA INTERPRETATION
Teacher in charge:
• Christian DAUL
Hours: Lecture: 0 h Tutorial: 0 h Practical work: 24 h
Objectives: Practical approach to the metrology techniques related to matter investigation and characterisation. We do not focus on characterisation processes here : the main aim of this laboratory work is to make the students sensitive to the problems related to measurement (system calibration, sample preparing, etc.) and to the treatment of the investigation systems output data (i.e. statistic tools or signal and image processing tools for data interpretation).
September 2005 -4-
Program: Infrared spectroscopy - UV spectroscopy- Metallography, Optical microscopy – signal and image processing – Thermal analysis – Mechanical testing (hardness, resilience) .
References:
• Polycopié de TP
Assessment : Duplicated notes of laboratory work.
LINEAR SYSTEMS MODELLING
Teacher in charge:
• Christian DAUL
Hours: Lecture: 9 h Tutorial: 9 h Practical work: 0 h
Objectives: The aim of this course is to present the tools required for the analysis of signals and the behaviour of linear systems. The frequency dependence and the concept of transfer function used for the behaviour modelling of various devices (electrical or mechanical for example) will be developed here in particular. The instrumentation (first semester) and automation (second semester) courses are based on the tools presented here.
Program: Fourier transform and series, Laplace transform, transfer function, Bode diagram, Nyquist diagram.
References:
• Cottet Francis, Traitement des signaux et acquisition de données, 1997, Dunod • Granjon Y., Automatique : systèmes linéaires, non linéaires, à temps continu,
à temps discret, représentation d'état, 2001, Dunod
Assessment : About 2 hours (an average mark is computed with the mark obtained at the end of this course and the «instrumentation» course mark).
ORGANIC CHEMISTRY IV
Teacher in charge:
• Alexandre HOCQUET
September 2005 -5-
Hours: Lecture: 15 h Tutorial: 18 h Practical work: 0 h
Objectives: Knowledge of the reactivity of organic functions involved in the synthesis of polymers. Conversion of petroleum, synthesis of principal monomers.
Program: -
References:
• Grant & Richards, Computational chemistry • Oxford & Cramer, Essentials of computational chemistry, Wiley • Vollhardt & Schore, Organic chemistry, 2ème édition, Freeman
Assessment : One final examination (2 hours).
CHEMICAL REACTION ENGINEERING
Teacher in charge:
• Marie-Odile SIMONNOT
Hours: Lecture: 19,5 h Tutorial: 19,5 h Practical work: 0 h
Objectives: Basic lectures on processing engineering. Introduction to mass and energy balance sheets for macroscopic systems where one ore more reactions are involved (chemical reactors). Hydrodynamics is described through the elapsed time distribution concept ; reactor running modelling. This lecture supports / supplements “Flows and transfer”, “Heterogeneous kinetics”, “Polymerisation engineering” lectures.
Program: Energy and mass balance sheet for perfect reactors. Yield optimisation and selectivity (composite reactions). Thermal behaviour of reactors. Elapsed time distribution. Modelling.
References:
• Polycopié de cours • Fogler H.S., Elements of Chemical Reaction Engineering, 1992, Ed.Prentice
Hall • Villermaux J., Génie de la réaction chimique, 1993, Lavoisier Teck Doc
September 2005 -6-
Assessment : 2 homework’s and 2 tests.
FLOW and TRANSFER
Teacher in charge:
• Stéphane ANDRE
Hours: Lecture: 24 h Tutorial: 12 h Practical work: 0 h
Objectives: To get used to dimensional analysis since it introduces to transfer phenomena. Relationships of conservation. Transport phenomena. Turbulent flows, coupling of several transfer regimes, transfers involving phase transformation.
Program: Flux definition. Transfer mechanisms (diffusive and convective). Regimes and transfer modes. Approach through dimensional analysis. Conservation of mass, momentum, kinetic energy, internal energy and enthalpy. Behaviour laws. Boundary conditions.
References:
• Coirier J., Mécanique des milieux continus - Concepts de base, 2° cycle, Dunod
• Guyon E., Hulin J.P., Petit L., Hydrodynamique Physique, Savoirs Actuels, InterEditions/Editions du CNRS
• Padet J., Fluides en écoulement : Méthodes et Modèles, 1990, Masson
Assessment : Lightning test (1 h 30), one homework and a final exam (2 h 30).
INORGANIC MATERIALS PHASE TRANSFORMATION I
Teacher in charge:
• Gérard METAUER
Hours: Lecture: 22,5 h Tutorial: 21 h Practical work: 0 h
Objectives: To provide students with basic scientific knowledge and methods to reach a comprehensive insight of relevant physical and chemical parameters involved in material phase formation. Emphasis is put on the relationship between alloy
September 2005 -7-
composition, thermal treatments, microstructure and their incidence upon mechanical properties
Program: Phase diagrams, thermodynamical stability. Global approach to phase transformation, driving forces and kinetics. Phase transformations involving diffusion, homogeneous and heterogeneous nucleation and growth. Diffusionless transformations, martensitic ; supersaturated solid solutions ; amorphous materials.
References:
• Krauss, Heat Treatment and Processing Principles • Kuze W., Mercier J.P., Zambelli G., Introduction à la Science des Matériaux • Porter D.A., Easterling K.E., Phase transformation in metals and alloys • Verhoeven, Fundamental of physical metallurgy
Assessment : One intermediate test and a final exam at the end of part II.
PHYSICAL PROPERTIES OF MATERIALS II
Teacher in charge:
• Pierre PECHEUR
Hours: Lecture: 24 h Tutorial: 24 h Practical work: 0 h
Objectives: Show the strong influence of the structures of materials on their physical properties : importance of microscopic structures (type of chemical bonds, atomic order in alloys, phase transitions…) and also of structures at an intermediate level (magnetic domains, grain structure of polycristals, dislocations…)
Program: Order and disorder in solid solutions and their physical properties - Microscopic magnetism: NMR principle; Ferromagnets – Intermediate level magnetism : domains, Bloch walls, anisotropy – Hard and soft materials - Ferrites - Dielectrics : Ferroelectrics (BaTiO3), dielectrics in alternative fields ( Debye relaxation, resonance in the infrared and optical range) Dielectric and microstructure (Weibull distribution) - Introduction to dislocations : geometry and elastic properties, plastic properties of metals.
A poster session by students on practical applications of these physical properties.
September 2005 -8-
References:
• Brousseau J., Physique du Solide • Coelho R., Aladenize B., Les diélectriques • Kittel C., Physique de l'état solide • Mc Currie R.A., Ferromagnetic materials • Mouson A.J., Herbert J.M., Electroceramics
Assessment : 2 tests + 1 poster.
MACROMOLECULAR CHEMISTRY
Teacher in charge:
• Jean-Luc SIX
Hours: Lecture: 24 h Tutorial: 18 h Practical work: 0 h
Objectives: The production of technical polymers and large-scale distributed polymers is based on macromolecular chemistry. A survey of macromolecular syntheses will show you how their control permit us to obtain (for the same monomer) polymers with different and complementary properties.
Program: Chain polymerizations (radical and ionics polymerizations will be discuted in details).-Polycondensation. – Copolymerization – Introduction to physico-chemistry of polymer solutions – Determination of the molecular weights.
References:
• Initiation à la chimie et à la physicochimie macromoléculaires (vol. 1,3,8,10,11 et 12), Groupe Français des Polymères
• Techniques de l'Ingénieur, section AM • G. Odian, La polyméérisation : principes et applications, Polytechnica • M. Fontanille, Y. Gnanou, Chimie et physico-chimie des polymères, Dunod • Mercier J.P., Maréchal E., Traité des Matériaux (Volume 13), Presses
Polytechniques et Universitaires Romandes
Assessment : 2 tests (without document).
September 2005 -9-
-
Teacher in charge:
• Catherine AUBIER
Hours: Lecture: 0 h Tutorial: 10 h Practical work: 0 h
Objectives: -
Program: -
Assessment : -
ENGLISH V
Teacher in charge:
• Daniel GIGOUX
Hours: Lecture: 0 h Tutorial: 18 h Practical work: 0 h
Objectives: · For the students who followed the first two years in Nancy and the new foreign students with a good level :
Duration : 18 hours
Program: Enrich the knowledge of non specialised English and acquire notions of scientific English.
Assessment : Continuous assessment (oral and written tests).
Comments : -
September 2005 -10-
ENGLISH V
Teacher in charge:
• Daniel GIGOUX
Hours: Lecture: 0 h Tutorial: 36 h Practical work: 0 h
Objectives: · For the foreign students from the partner universities and all new students admitted in the 3rd year who haven’t passed the FCE :
Duration : 36 hours ( + 36 hours in the second semester)
Prepare the compulsory external examination ( FCE – University of Cambridge)
Program: The lessons are based on a British course book that develops reading, writing, listening and speaking skills and on past FCE or CAE papers.
References:
• Longman, Language to go
Assessment : Continuous testing based on FCE papers.
Comments : -
French : Intensive course
Teacher in charge:
• Jeanine PASTORE ORJALES
Hours: Lecture: 0 h Tutorial: 45 h Practical work: 0 h
Objectives: 45h (in groups of no more than 18 students) during the first two weeks of September.
Communicate and integrate life at the EEIGM and in Nancy as quickly as possible. This course can be adapted to any requirements and focusses on comprehension and expression of the french language in everyday life. Another aim is to facilitate the integration of foreign students into the French university system.
September 2005 -11-
Program: 4 skills :
- speaking : everyday life situations, useful practical information, simulations, cultural shock
- listening : audio, video, TV, phonetics
- reading and writing : newspapers and magazines, authentic documents from everyday life in France
The course is completed by cultural visits followed by written or oral classwork
References:
• Documents de presse (écrite - audio - vidéo) • exercices de types examen DELF et DALF (diplômes nationaux de la langue
française)
Assessment : Following a placement test at the beginning of the course, the students are distributed into 2 groups according to their level (if the number of student is important). Assessment of reading/writing/listening and speaking is proposed at the end of the course.
Comments : This course is open to students with different levels (elementary, intermediate and advanced).
GERMAN V
Teacher in charge:
• Philippe BEYER
Hours: Lecture: 0 h Tutorial: 32 h Practical work: 0 h
Objectives: Advanced German. Civilisation of the German speaking countries.
Specialised German : materials engineering.
Program: -
References:
• Langue scientifique - NTF - Werkstoffkunde, Huéber (Munich) • Themen neu 2, Hueber Verlag (Munich)
September 2005 -12-
Assessment : Continuous.
SPANISH V
Teacher in charge:
• Ana-Maria DENET
Hours: Lecture: 0 h Tutorial: 32 h Practical work: 0 h
Objectives: Improve the students’ ability to hold a discussion and their command of discourse management and go deeper into the study of Spanish and Hispanoamerican culture.
Program: Comprehension and expression exercises from authentic and non authentic documents.
References:
• Fondo A., SGEL, (Madrid)
Assessment :
September 2005 -13-
3th Year
Semester 6
NUMERICAL ANALYSIS
Teacher in charge:
• Gérard MAURICE
Hours: Lecture: 0 h Tutorial: 0 h Practical work: 32 h
Objectives: To get the students used to numerical recipes introduced in lectures. To make use of standard softwares : MAPLE – MATLAB – GFEM – PDEASE.
Program: Simple physical problems solving (algoritmics). Introduction to the solving of partial derivatives equations encountered in equilibrium problems.
Assessment : Long write-up.
AUTOMATIC CONTROL
Teacher in charge:
• Thierry BOILEAU
Hours: Lecture: 18 h Tutorial: 18 h Practical work: 0 h
Objectives: The aim is to apprehend the problems of control of industrial processes as systems and signals. Emphasis is placed on the study of linear systems modelling.
Program: Modelling of linear systems. Transfer function. Signal modelling. Fourier transform. Spectrum. Frequency behaviour of systems. Bode and Nyquist diagrams. The regulation loop. Transfer function in closed loop. Performance of automatic control. Corrective systems.
September 2005 -14-
References:
• Granjon Y., Automatique : systèmes linéaires, non linéaires, à temps continu, à temps discret, représentation d'état, 2001, Dunod
Assessment : Two one-hour tests during the course of the semester and a final exam (1 hour and 30 minutes).
COMPOSITE MATERIALS : THEORY OF COMPOSITE BEAMS
Teacher in charge:
• Michel NIVOIT
Hours: Lecture: 18 h Tutorial: 12 h Practical work: 0 h
Objectives: To finely describe the distributions of stresses, essential knowledge for material’s design To give some examples of structural analysis.
Program: Composite materials : fibrous materials, sandwich composite materials, principal physical properties General information : beams geometry - statics of the beams - Isotropic linear elastic material. bending of the right beams : Navier-Bernoulli theory - Timoshenko theory and generalised Navier-Bernoulli theory. Torsion of the right beams : general and particular cases. Combined loading : stresses, displacements ; Bresse equations. Strain energy. Finite element method : rigidity matrix, mass matrix. Procedure of assembly. Resolution method. Instability of the right beams : buckling, side warping.
References:
• Courbon J., Résistance des matériaux (Tomes 1 et 2), Dunod • Gay D., Matériaux composites, Hermes • Laroze S., Mécanique des structures (Tome 2), Masson • Laroze S., Bareau J.J., Mécanique des structures (Tome 4), Masson
Assessment : Report of Numerical Mechanics II, one 3 hours exam.
MATERIALS MECHANICS
Teacher in charge:
• Zoubir AYADI
September 2005 -15-
Hours: Lecture: 18 h Tutorial: 12 h Practical work: 0 h
Objectives: To acquire basic scientific knowledge in order to understand and solve visco-elasto-plasticity and fracture problems. To get used to the notions of the phenomena of creep and relaxations. To know how to characterise the visco-elastic behaviour in statics and dynamics loading and to be able to modell this behaviour for other experimental conditions. To explain the concepts of stress intensity factors at a crack front (mechanical aspect) and of tenacity (material aspect) the properties of which rise from breaking fracture and fatigue, as well as the sizes of allowable defects.
Program: - Principal rheological behaviours.
Characterization and modelling of the visco-elastic behaviour. Uniaxial linear visco-elastic behaviour : recalls on behaviour laws, creep and relaxation functions., linear visco-elasticity and Boltzmann’s superposition principle. Use of operational calculus in case of linear visco-elastic problems - Laplace-Carson transformations, rheological modelling of one-dimension non-ageing linear visco-elastic behaviour.Analysis of the visco-elastic behaviour in dynamic loading. Temperature dependency modelling. Generalisation in three-dimensional space : characterisation of three-dimensional visco-elastic behaviour. Boltzmann’s superposition principle applied to three-dimensional visco-elasticity – modelling.
- Fracture mechanics
Various modes of ruin and damage, linear elastic fracture mechanics : stress, strain and displacement fields in elastic crack front, stress intensity factors. Theory of brittle fracture of Griffith, fracture Criteria. Elasto-plastic fracture mechanics : problems, plastic zone size, equivalent profile of Irwin, Irwin models, Dugdale-Barenblatt models. Concept of Blunt fracture, Rice J-integral, wide plasticity. Fracture criterion. Propagation of the cracks by fatigue and stress corrosion: Paris and Forman laws. Applications
- Fracture mechanics of glasses (to understand effects and to remedy the britteness of glasses).
References:
• BUI H.D., Mécanique de la rupture Fragile, Masson • Duvaux G., Mécanique des milieux continus, Masson • François D., PINEAU A., ZAOUI A., Comportement Mécanique des
matériaux, Hermes • Germain P., Muller P., Introduction à la mécanique des milieux continus,
Masson • Lemaitre J., Chaboche J.L., Mécanique des matériaux solides, Bordas • Persoz B., La rhéologie, Masson
September 2005 -16-
• Salençon J., Viscoélasticité, Presses de ENPC • Suresh S., Fatigue of materials, Cambridge
Assessment : Report of Numerical Mechanics II, one 3 hours exam.
NUMERICAL MECHANICS II
Teacher in charge:
• Zoubir AYADI
Hours: Lecture: 0 h Tutorial: 0 h Practical work: 12 h
Objectives: To initiate students to the use of a general software through some problems of synthesis the analytical solutions of which were given in “Composite Beams” and “Materials Mechanics” lectures.
Program: Geometrical characteristics of the cross-sections. Beams. Plane-strain and plane-stress. viscous-elasticity. Fracture Mechanics.
References:
• Documentation PdEase, Algor
Assessment : See Composite materials : theory of beams and materials mechanics.
CORROSION
Teacher in charge:
• Jean STEINMETZ
Hours: Lecture: 9 h Tutorial: 7,5 h Practical work: 0 h
Objectives: Introduction to basic items in order to get a phenomenological understanding of corrosion of metals. Application to acid corrosion, simple galvanic corrosion. Protection against corrosion.
September 2005 -17-
Program: Electrochemical potentials and kinetics. Role of passivation processes upon the corrosion resistance of stainless steels. Special forms of corrosion : pitch-erosion corrosion, strain induced corrosion, bacteriological corrosion.
References:
• Polycopié de cours
Assessment : One final exam (2 hours).
Comments : -
GRANULAR SOLIDS AND POROUS MEDIA
Teacher in charge:
• Danielle BARTH
Hours: Lecture: 13,5 h Tutorial: 12 h Practical work: 0 h
Objectives: This course relates to both Process Engineering and Inorganic Materials Processing. Elementary concepts and basic phenomena which are necessary to understand the characteristics and specific/microscopic properties of divided matter are presented. Simple examples of practically important unit operations involving such form of matter are described and discussed quantitatively. Single phase transport through porous media is also considered.
Program: - Populations of solid particles : their characterization as to size, shape and their distributions ; their adjustments via such operations as classification and milling.
- Dry granular systems : stability, flow, mixing and segregation, pressing.
- Colloïdal systems : effect of dispersing medium properties upon particle – particle interactions ; DLVO theory of suspension stabilization. Brief account of spherical stabilization.
- Fixed porous media : capillary condensation, DARCY law for single phase gas or fluid flow.
References:
• Polycopié de cours
September 2005 -18-
LABORATORY WORK : PROCESS ENGINEERING
Teacher in charge:
• Marie-Odile SIMONNOT
Hours: Lecture: 0 h Tutorial: 0 h Practical work: 32 h
Objectives: Fluid mechanics. Basic operations related to material manufacturing processes (for instance: drying, filtration, fluid beds, etc.). Illustrations of topics studied during the courses.
Program: This lab works are intended to show the students pilot factory plants.
References:
• Handbooks • Ouvrages généraux de Génie des Procédés • Polycopié
Assessment : Reports of lab. Work.
SEPARATION ENGINEERING
Teacher in charge:
• Danielle BARTH
Hours: Lecture: 10,5 h Tutorial: 10,5 h Practical work: 0 h
Objectives: First step-introduction to the modelling and scaling of single separation processes. Basic thermodynamical concepts and heat –matter transfer mechanisms are recast in the frame of single processes.
Program: Calculation of the height or the length of a column. Emphasis is put on writing down mass balances, heat balances. Sometimes these balance sheets must be linked through a relationship. We describe three units: extraction, distillation and drying. Some technological aspects are developed in the case of extraction columns.
September 2005 -19-
References:
• Polycopié de cours • Techniques de l'ingénieur
Assessment : One homework, one final 3 hours exam.
INORGANIC MATERIALS PHASE TRANSFORMATION II
Teacher in charge:
• Gérard METAUER
Hours: Lecture: 22,5 h Tutorial: 21 h Practical work: 0 h
Objectives: Application of fundamentals introduced in “Inorganic Materials Phase Transformation I” to actual processes encountered in industry ; traditional and advanced materials.
Program: Heat treatments, thermo-mechanical and thermo-chemical treatments. Illustrations with dual-phases steels, stainless steels, building steels, tool steels. Nickel and cobalt based superalloys. Titanium, aluminium and copper alloys. Micro-crystalline, amorphous and intermetallic alloys. Surface hardening.
References:
• Documentation scientifique
Assessment : One intermediate test and a final exam.
LABORATORY WORK : METALLIC MATERIALS
Teacher in charge:
• Benoît APPOLAIRE
Hours: Lecture: 0 h Tutorial: 0 h Practical work: 32 h
Objectives: Testing of materials, structure and microstructure analysis : optic microscopy, scanning and transmission electron microscopy, X-ray and electron scattering,
September 2005 -20-
microanalysis. Application to solid state phase transformation obtained through heat treatment, thermo-mechanical and thermo-chemical treatments.
Program: Mechanical properties of steels and cast-iron : tensile and hardness tests. Auminium recrystallization. Kinetics of phase transformation observed by dilatometry. Quenching, Jominy test. Quenching and annealing of alloyed steels. Optical micrography of steels. Scanning electron microscopy of a Nickel based alloy.
References:
• Metauer G., Polycopiés : Transformation de phases
Assessment : Skill tests and reports.
CHEMISTRY AND PROCESSING OF POLYMER COMPOSITES
Teacher in charge:
• Jean-Luc SIX
Hours: Lecture: 12 h Tutorial: 0 h Practical work: 0 h
Objectives: Association of one polymer matrix and reinforcing agents in a composite, enhance the properties of each element. Polymer matrix preparation, properties and processing of polymer composites will be discussed. Students learn all the basis for designing and developing new materials with prescribed properties.
Program: Survey of composites – Studies of polymer matrix and reinforcing agents – Concept of interfacial adhesion between matrix and reinforcing agent – Processing of polymer composites – Case studies.
References:
• Initiation à la chimie et à la physicochimie macromoléculaires, Collection des livres édités par le Groupe Français des Polymères
• Techniques de l'Ingénieur, section AM • Chrétien G., Matériaux composites à matrice organique, Tec et Doc • Cognard P., Les applications industrielles des matériaux composites, 2
volumes • Gay D., Matériaux composites, Hermes
September 2005 -21-
Assessment : 1 test (without document).
FORMULATION and COMPOUNDING PROCESSES of POLYMER BLENDS
Teacher in charge:
• Guo-Hua HU
Hours: Lecture: 6 h Tutorial: 0 h Practical work: 0 h
Objectives: This course aims at showing the students that, like the polymerisation and copolymerisation processes, the formulation and compounding of polymer materials opens another important path for the development of new polymer materials. The students are taught the basic principles necessary for designing and developing new polymer materials from existing polymers, and more precisely for the « synthesis » of new required properties through the association of existing ones.
Program: Presentation of the « good and bad » properties of the different families of polymers. Description of the main required properties for various applications. Strategies for the « synthesis » of new properties. Notions of the miscibility/non-miscibility of polymer blends. Main scientific and technical challenges for making polymer blends.
Main techniques used to « remedy » the inherent defects of polymer blends related to morphology and interfaces. Formulation and compounding processes of polymer blends. Nano-structured polymer blends and polymer composites.
References:
• Baker W., Scott C., Hu G.H., Reactive polymer blending, 2001, Hanser publisher
Assessment : Exam (30 minutes).
LABORATORY WORK : POLYMERS
Teacher in charge:
• Serge ETIENNE
Hours: Lecture: 0 h Tutorial: 0 h Practical work: 32 h
September 2005 -22-
Objectives: Practical use of related lecture and exercises contents. Investigation methods.
Program: Physical properties of polymers : Visco-elasticity, mechanical tests (tensile and resilience). Calorimetric analysis (DSC). Crystallisation study through optical microscopy.
Synthesis of polymers : polymerisation processing (emulsion, suspension, co-polymerisation) Molar-mass determination (Size Exclusion Chromatography SEC). Solution Viscometry.
Assessment : Continuous, laboratory work write-up.
POLYMER PHYSICS
Teacher in charge:
• Serge ETIENNE
Hours: Lecture: 24 h Tutorial: 18 h Practical work: 0 h
Objectives: Outlook of polymer kinds. Understand how properties are linked to structures. Understand polymer’s specific phenomena and related materials properties. To meet optimal choice and best use of polymer materials.
Program: Introduction to macro-molecules. Solid-sate cohesion. Elasticity ( role of entropy). Glassy state and liquid - glass transition. Linear visco-elasticity. Semi-crystalline polymers. Crystallisation, melting, structure versus properties. Mechanical behaviour at strong deformations.
References:
• Polycopié de cours
Assessment : One intermediate test and a final exam.
ENGLISH or SPANISH or GERMAN
Teacher in charge:
• Ana-Maria DENET
September 2005 -23-
Hours: Lecture: 0 h Tutorial: 36 h Practical work: 0 h
ENGLISH VI (1)
Teacher in charge:
• Daniel GIGOUX
Hours: Lecture: 0 h Tutorial: 18 h Practical work: 0 h
Objectives: Enrich the students’ knowledge of both general English and specialised English in relation with chosen aspects of materials science and engineering.
Program: Oral and written work based on authentic documents ( written, audio, video, on line) , study of scientific documents and oral presentations on themes linked to material science and engineering.
Assessment : Continuous assessment based and on oral and written tests.
Comments : -
ENGLISH VI (2)
Teacher in charge:
• Daniel GIGOUX
Hours: Lecture: 0 h Tutorial: 36 h Practical work: 0 h
Objectives: * Specific case of the the foreign students from the partner universities and all new students admitted in the 3rd year who haven’t passed the FCE :
Continuation of the FCE preparation course of the first semester.
Comments : -
September 2005 -24-
FRENCH
Teacher in charge:
• Jeanine PASTORE ORJALES
Hours: Lecture: 0 h Tutorial: 27 h Practical work: 0 h
Objectives: Improve mastery of oral and written French ; develop communication skills ; enrich cultural approach ; help foreign students to integrate via linguistic complements and introduction to French methods of analysis and critical approach.
Program: 4 skills :
- speaking : (oral presentations, role play, simulations, debate on current news, language registers
- listening : audio, video, TV, phonetics)
- writing : specialised French, summarizing, reports
- reading : newspapers, magazines, scientific and non scientific documents
Grammar, vocabulary, French culture and civilisation will be studied for each of these skills from authentic documents.
Further training : CVs, cover letters, job interviews, internship reports.
References:
• exercices de types examen DELF et DALF (diplômes nationaux de la langue française)
Assessment : Continuous assessment (oral and written tests) over the two semesters.
Work is controlled regularly and the final mark (lower than or above 10 out of 20) is related to results obtained and regular attendance.
Comments : This course is aimed at students with various levels (elementary, intermediate and advanced). Following a placement test at the beginning of the year, the students are distributed into two groups when their number is important.
September 2005 -25-
GERMAN VI
Teacher in charge:
• Philippe BEYER
Hours: Lecture: 0 h Tutorial: 36 h Practical work: 0 h
Objectives: Advanced German. Civilisation of the German speaking countries.
Specialised German. Preparation for the semester in Saarbrücken.
SPANISH VI
Teacher in charge:
• Ana-Maria DENET
Hours: Lecture: 0 h Tutorial: 36 h Practical work: 0 h
Objectives: Depending on the groups : prepare for the stay in Spain or improve the command of the language for post-beginners who haven’t chosen to go to Spain in the 4th year.
Assessment :
September 2005 -26-
4th Year
Semester 7
COMPOSITE MATERIALS : THEORY OF MULTILAYERED PLATES
Teacher in charge:
• Michel NIVOIT
Hours: Lecture: 18 h Tutorial: 12 h Practical work: 0 h
Objectives: To introduce the essential assumptions of a two-dimensional theory - To describe the classical theory of the multi-layered thin sections - To give the essential elements of structural analysis to any engineer - To finely describe the stress distributions, which are optimal bases for material’s design.
Program: Composite materials : Composite materials - fibrous Materials – sandwiches Materials - Principal physical properties
Generalities : Orthotropic linear elastic material - Properties of a fold.
Multilayer plates : Generalities - Statics of the plates - Love-Kirchhoff theory - Apparent elastic Characteristics. Interlaminar stresses - Thermomechanical behaviour.
References:
• Gay D., Matériaux composites, Hermes • Laroze S., Bareau J.J., Mécanique des structures (Tome 4), Masson
Assessment : Report of Numerical Mechanics III, one 3 hours exam.
NUMERICAL MECHANICS III
Teacher in charge:
• Zoubir AYADI
Hours: Lecture: 0 h Tutorial: 0 h Practical work: 12 h
September 2005 -27-
Objectives: The main purpose of this courses is to introduce students to the use of a general software through some problems of synthesis, the analytical solutions of which were given in “Composite plates” and ”Rheology and Forming” lectures.
Program: Composit beams, multi-layered plates, plasticity, metal forming.
References:
• Documentation ALGOR
Assessment : See composite materials : theory of multilayered plates and rheology and forming.
RHEOLOGY and FORMING
Teacher in charge:
• Zoubir AYADI
Hours: Lecture: 18 h Tutorial: 12 h Practical work: 0 h
Objectives: To acquire basic scientific knowledgel to understand and solve elasto-visco-plastic, fracture and moulding problems. Get used to modelling and criteria of deformation (plastic and more generally elasto-visco-plastic). This is to encompass all the physical and mechanical aspects in order to foresee all consequences upon the product (form, risk of fracture or instability, residual stresses) and on the tools (stresses and powers brought into work).
Program: Basic elements on the physical mechanisms of deformation and fracture
Christallography and Cristal defects dislocations.
Basic elements of mechanics and thermodynamics of the continuous media
Strain and stress studies. The first and second principles of thermodynamics. Clausius-Duhem inequality. Constitutive law. The Principle of virtual power. Thermics notions.
Plasticity
Elastic limit - Plastic threshold, Criteria of plasticity, Behaviour Laws, Theorem of Hencky in perfect plasticity, Hot Deformation - Viscoplastic Behaviour, Problems of Instability in Plasticity and Viscoplasticity.
Metal Forming
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Metal forming processes. Effect of residual stresses. Physical aspects of metal-forming,. Resolution methods for metal forming.
References:
• Notes internes IRSID • Baque P., Mise en forme des métaux - calcul par la plasticité, tomes 1 et 2 • Barbe J., Mécanique des structures : plasticité, mécanique de la fracture,
fluage des métaux, ENSAE • Barbe J.,, Mécanique des structures : élasticité, thermoélasticité,
viscoélasticité, ENSAE • Barbe J., Baque P., Halphen B., Salençon J., Elastoplasticité, Presses ENPC • Duvaux G., Mécanique des milieux continus, Masson • Germain P., Muller P., Introduction à la mécanique des milieux continus,
Masson • Lemaitre J., Chaboche J.L., Mécanique des matériaux solides, Bordas • Persoz B., La rhéologie, Masson • Salençon J., Viscoélasticité, Presses de ENPC
Assessment : Report of Numerical Mechanics III, one 3 hours Exam.
HETEROGENEOUS REACTORS (OPTIONAL)
Teacher in charge:
• Jean-Léon HOUZELOT
Hours: Lecture: 10 h Tutorial: 0 h Practical work: 0 h
Objectives: This course aims at familiarising the students with the physicochemical process which regulates the gas-solid, gas-liquid, liquid-solid chemical conversions, whether catalytic or not. The key point of the course is competition processes between reaction and diffusion.
Program: Heterogeneous catalysis reactions, gas adsorption and desorption phenomena, catalytic reactions, description of porous environments and introduction to effective diffusivities, various diffusional transfers. Non catalytic gas-solid and liquid-solid reactions, various kinetic models (shrinking core model), gas-solid reactors, fixed bed reactors, fluidized bed reactors, transport reactors and moving bed reactors , revolving furnaces. Hydrodynamics, and modelling methods are studied successively for each type of reactor.
September 2005 -29-
References:
• Polycopié
Assessment : One 3- hour exam or an oral presentation of a mini project submitted during the course.
INDUSTRIAL SAFEGUARD (OPTIONAL)
Teacher in charge:
• Danielle BARTH
Hours: Lecture: 20 h Tutorial: 0 h Practical work: 0 h
Objectives: Safeguard control in case of hazardous areas and/or processes.
Program: Risk analysis, probability estimation of accidents or mishaps and modelling of related consequences.
Assessment : Analysis of given occurrences.
WASTE AND EFFLUENTS RECYCLING (OPTIONAL)
Teacher in charge:
• Jean-Louis PINEAU
Hours: Lecture: 20 h Tutorial: 0 h Practical work: 0 h
Objectives: -
Program: -
Assessment : Following teacher’s indications.
September 2005 -30-
MATERIALS SELECTION
Teacher in charge:
• Abdelkrim REDJAÏMIA
Hours: Lecture: 9 h Tutorial: 0 h Practical work: 0 h
Objectives: Material selection in mechanical design. To provide students with valuable criteria to reach an optimum choice.
Program: This lecture is based on the well-known Course of Ashby and the Cambridge Materials Selector Program.
References:
• Ashby M.F., Jones D.R.H., Materiaux : Microstructure et mise en œuvre (Tome 2), 1990, Dunod
• Ashby M.F., Jones D.R.H., Materiaux : Propriétés et applications (Tome 1), 1990, Dunod
• Headington Hill Hall, Materials selection in mechanical design, 1992, Pergamon Press Ltd
• Jacobs J.A., Kilduff T.F., Engineering Materials Technology, 1985, Prentice-Hall, Inc.
• Lewis P., Reid N., Weidmann G., Structural Materials, 1990, Butterworth-Heinemann Ltd
Assessment : Real cases studies.
BIOPOLYMERS
Teacher in charge:
• Anne JONQUIERES
Hours: Lecture: 9 h Tutorial: 0 h Practical work: 0 h
Objectives: Natural biopolymers were the first polymers to be used and are currently regaining an increasing interest for the development of more environment-friendly plastics. The first part of this lecture presents their structure, their modifications and their applications limited to the field of polymer materials.
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Today, synthetic biopolymers also know an unprecedented development which should increase in the coming years because a few of them can be produced from renewable resources and are therefore being considered as interesting alternatives to petrochemical polymers. The different types of synthetic biopolymers are presented and their possibilities of “biodegradation” are discussed. Therefore, the second part of this lecture develops the different approaches currently used by the industrials to develop plastics with less environmental impact.
Program: Natural biopolymers and derivatives: natural rubber, cellulose and cellulosic derivatives, starch, lignocellulose and protein-based materials.
Synthetic “biopolymers”: the different approaches currently developed to minimise the impact of plastics on the environment. Photo-biodegradable hydrocarbon polymers (e.g. polyethylene with pro-oxidants, a few ethylene-based copolymers), hydro-biodegradable biopolymers: poly(glycolic acid), poly(lactic acid) and its copolymers, and polyhydroxyalkanoates.
References:
• IBAW : International Biodegradable Polymers Association & Working Groups
• Ouvrage collectif du Groupe Français d'Etudes et d'Applications des Polymères, Initiation à la chimie et à la physico-chimie macromoléculaires, volume 13 : les polymères naturels : structure, modifications et applications, 2000
• Scott G., Polymers and the environment, Cambridge, 1999, RSC Paperbacks, The Royal Society of Chemistry
• Stevens E.S., Green Plastics : An Introduction to the New Science of Biodegradable Plastics, Princeton, 2001, Princeton University Press, 248 pages
Assessment : A written test.
CERAMICS AND GLASS CERAMICS
Teacher in charge:
• Sébastien TESTU
Hours: Lecture: 27 h Tutorial: 0 h Practical work: 0 h
Objectives: To place ceramics, glasses and glass ceramics in materials science context. To give main characteristics : elaboration, microstructure, mechanical, physical and chemical properties. To link industrial applications to material properties.
September 2005 -32-
Program: Traditional ceramics : introduction and history, clay properties, making of porcelain, particular case of cement and concrete.
Synthesis of technical ceramics : powder technology, green body forming, sintering theory, sintering methods, microstructure control.
Properties and applications of technical ceramics : oxides, nitrides, carbides, composites.
Glass ceramics : crystallisation, LAS and MAS systems, properties and applications, comparison between glass ceramics / glasses / ceramics.
References:
• Charles A., Handbook of ceramics, glasses and diamonds, Harper • Kingery W.D., Bowen H.K., Uhlmann D.R., Introduction to ceramics, 2nd
edition, 1976, Wiley • Richerson D.W., Modern Ceramic Engineering, Marcel Dekker • Ring, Fundamentals of ceramic powder processing and synthesis, Academic
Press • Schneider S., "Ceramics and Glasses" Engineered materials handbook, vol. 4,
ASM International
Assessment : written examination of 3 hours.
DEGRADATION AND STABILISATION OF POLYMERS
Teacher in charge:
• Anne JONQUIERES
Hours: Lecture: 6 h Tutorial: 0 h Practical work: 0 h
Objectives: Ageing and degradation of polymers represent high stakes for the related industry because they are responsible for a progressive degradation of the polymer properties which would have a tremendous economical impact if it were not properly controlled.
In the first part, this lecture presents the different methods for investigating polymer degradation and gives the basic concepts of the different degradation mechanisms and their impact on the material properties.
In the second part, the focus is made on the different strategies which have been developed to fight against polymer degradation. The different types of stabilisation agents are presented and their respective roles are underlined in order to give a first global approach of polymer stabilisation. The issue of the environmental impact of these additives is also briefly addressed because it is
September 2005 -33-
certainly one of the challenges that material engineers will have to take up in the near future.
Program: The different types of polymer degradation: physical, mechanical and chemical ageing. Principles for the strategies of investigation of polymer ageing: kinetic approach and modelling, ageing tests on site and accelerated ageing tests.
The different mechanisms for chemical ageing: thermal, oxidative, photo-oxydative, hydrolytic, radiochemical degradations and biodegradation etc.
The different types of stabilisation agents: thermal stabilisers, photochemical stabilisers, fungicidal and bactericidal stabilisers, fireproof stabilisers. Brief overview of the environmental impact of stabilisers.
References:
• Ecole J., La stabilisation des polymères, Encyclopédie technique pratique, 1991, Nathan, 75 pages
• Girois S., Stabilisation des plastiques : aspects généraux, traité plastiques et composites, 2004, Les Techniques de l'Ingénieur, Volume AM 3 232
• Scott G., Polymers and the environment, Cambridge, 1999, RSC Paperbacks, The Royal Society of Chemistry
• Verdu J., Vieillissement chimique des plastiques : aspects généraux, traité plastiques et composites,, 2002, Les Techniques de l'Ingénieur, Volume AM 3 151
Assessment : A written test.
Mineral glasses
Teacher in charge:
• Serge ETIENNE
Hours: Lecture: 12 h Tutorial: 0 h Practical work: 0 h
Objectives: Generality : raw materials, elaboration (furnaces and fusion), physical, mechanical and chemical properties (compatibility, coloration), various glasses.
Program: Glass product : annealing, thermal and chemical tempering, glass forming, products (float glass, hollow glass, technical glass), economic problems.
September 2005 -34-
References:
• Scholze H., Le verre • Varshneya Arun K., Fundamentals of inorganic glasses • Zarzycki J., Les verres et l'état vitreux
Assessment : written examination of 3 hours.
POLYMER PROCESSING
Teacher in charge:
• Guo-Hua HU
Hours: Lecture: 15 h Tutorial: 15 h Practical work: 0 h
Objectives: This course provides the students with the basic knowledge of rheology applied to polymer processing on the one hand and the main technologies of polymer processing on the other hand.
Program: Rheology and rheometry: viscoelasticity, shear thinning behaviour, constitutive equations, flows of polymers in simple geometry, types of rheometers, relationship between rheology and processibility of viscoelastic fluids, instability of polymer melts.
Polymer processing: Introduction to the main technologies of thermoplastics processing, description of the common features of the various technologies, modelling of extrusion and injection moulding processes, concept of mixing.
References:
• Agassant J.F., La mise en forme des matières plastiques • Bost J., Matières plastiques (Tomes 1 et 2) • Michaeli W., Extrusion des matières plastiques • Rauwendaal C., Polymer extrusion, 1986, Hanser publishers
Assessment : 3 hours exam.
POLYMER REACTION ENGINEERING (OPTIONAL)
Teacher in charge:
• Guo-Hua HU
September 2005 -35-
Hours: Lecture: 15 h Tutorial: 15 h Practical work: 0 h
Objectives: This course provides the students with the fundamental bases of polymer reaction engineering. This will enable the students to understand that the quality of polymers depends not only on the type of polymerisation reaction but also on the type of reactor and interactions between both. Moreover, they will be taught that a polymer processing machine such as a screw extruder can also be used as a chemical reactor.
Program: Classical polymerisation processes: description of the quality of polymers (molecular weights and molecular weight distribution, etc.); presentation of the main features, advantages and disadvantages of polymerisation processes in solution, in bulk, in suspension and in emulsion. Introduction to the basic concepts of performance and selectivity of polymerisation reactors. Modelling of polymerisation reactions and reactors. Examples of industrial polymerisation processes: commodity polymers and engineering polymers. Use of screw extruders as polymerisation reactors and chemical modification reactors (reactive extrusion). Industrial examples of reactive extrusion.
References:
• Hu G.H., Reactive Polymer Processing : Fundamentals of Reactive Extrusion (Vol. 18) : Processing of Polymers, Cahn R.W. Haasen P. et Kramer E.J.
• Hu G.H. et Lambla M., Fundamentals of reactive extrusion : An overview (chap. 6, pages 345-400) de l'encyclopédie : Matérials Science and Technology, R.W. Cahn, P. Haasen et E.J. Kramer
• HU G.H., Flat J.J. et Lambla M., Free-radical grafting of monomers ontopolymers by reactive extrusion : principles and applications. Chapitre I (pages 1 à 80) dans le livre Reactive Modifiers for Polymers, Al-Malaika
• Penlidis A., O'Driscoll K.F, Polymer reaction engineering
Assessment : 3 hours exam.
COMMUNICATION
Teacher in charge:
• Catherine AUBIER
Hours: Lecture: 0 h Tutorial: 8 h Practical work: 0 h
September 2005 -36-
Objectives: Overall comprehension of what is communication. Learning of theoretical and practical skills.
Program: Communication lay-out : message’s issue, referential frame, oral and non verbal messages, message’s reception, understanding, attitudes. Notions of self-knowledge and transactional analysis.
Assessment : Continuous.
PARACAS SEMINARS
Teacher in charge:
• Valérie RAULT-JACQUOT
Hours: Lecture: 12 h Tutorial: 12 h Practical work: 0 h
Objectives: Development of student’s ability to do joint works through inductive methods (self evaluation) and inference.
Program: The financial state of a company is computer simulated so as to meet decisions about commercial and social policy, negotiations with externals (i.e. banks, trade unions). Students are provided with company’s management skills ; human intervention aspects together with creativity are induced by the teacher.
Assessment : Oral presentations and tests.
ENGLISH or SPANISH or GERMAN (Preparation for the stay at one of the partner universities)
Teacher in charge:
• Ana-Maria DENET
Hours: Lecture: 0 h Tutorial: 36 h Practical work: 0 h
September 2005 -37-
ENGLISH VII
Teacher in charge:
• Daniel GIGOUX
Hours: Lecture: 0 h Tutorial: 18 h Practical work: 0 h
Objectives:
Enrich the students’ knowledge of both general English and specialised English in relation with chosen aspects of materials science and engineering and acquire notions of Swedish civilisation.
Program: Oral and written work based on authentic documents ( written, audio, video, on line), study of scientific documents, writing a CV, a cover letter and oral presentations on themes linked to the Swedish culture.
Assessment : Continuous assessment based and on oral and written tests.
Comments : Target : the students who have chosen to spend their 8th semester in Lulea, Sweden
GERMAN VII
Teacher in charge:
• Philippe BEYER
Hours: Lecture: 0 h Tutorial: 18 h Practical work: 0 h
Objectives: Advanced German. Civilisation of the German speaking countries.
Program: Specialised German. Preparation for the semester in Saarbrücken.
Assessment : Continuous.
September 2005 -38-
SPANISH VII
Teacher in charge:
• Ana-Maria DENET
Hours: Lecture: 0 h Tutorial: 18 h Practical work: 0 h
Objectives: Improve the student’s understanding of Spanish civilisation and culture for the students who have chosen to go to Spain . Perfect the command of the language for the others students.
Program: Study of documents on Spanish institutions, economy, politics and culture.
Assessment :
September 2005 -39-
4th Year
Semester 8
Semester in Germany
Teacher in charge:
• Zoubir AYADI
Hours: Lecture: 0 h Tutorial: 0 h Practical work: 0 h
Objectives: -
Program: a) Gesamtstruktur und Pflichtfächer
Pflichtfächer :
- Technisches Zeichnen und Darstel lende Geometrie (Brückenkurs)
- Mechanische Eigenschaften von Werkstoffen (Praktikum)
- Biomaterialien
- Fügetechnik
- Methodik 1
- Grundlagen der zerstörungsfreien Werkstoffprüfung
- Grundlagen und Anwendungen von CAD-Systemen
- Seminar, wahlweise : Metallische Werkstoffe, Methodik, Funktionswerkstoffe, Adhäsion und Klebtechnik, Productiontechnik.
Wahlpflichtfächer :
- Erstes Wahlpflichtfach
- Zweites Wahlpflichtfach
b) Empfohlene Wahlpflichtfächer
· Sondermetalle
· Werkstoffprüfung
September 2005 -40-
· Quantitative Gefügeanalyse, Von der Bildverarbeitung bis zur Stereolgie
· Dünne organische Schichten, Herstellung und Charakterisierung
· Klebstoffe und Klebtechnologie
· Experimentelle Charakterisierung für Polymerwerkstoffe
· Struktur und physikalische Eigenschaften von Polymeren
· Glas, Spezielle Anwendungen
· Röntgen-Prüfverfahren
· Hochauflösende Mikroskopieverfahren
· Einfürung in die Ausbreitung elektromagnetischer und elastischer Wellen
· Akustische Abbildungsverfahren
· Druckbehälter-Engineering
· Montagetechnik
Assessment : -
Comments : Duration : 6 months.
Semester in Spain
Teacher in charge:
• Zoubir AYADI
Hours: Lecture: 0 h Tutorial: 0 h Practical work: 0 h
Objectives: -
Program: Université Polytechnique de Catalogne (ETSEIB)
Assignatures :
- Corrosión y Protección
- Fatiga de los Materiales
- Degradación de los Materiales
- Optatives
September 2005 -41-
Assignatures optatives :
- Tecnología de Materiales Metálicos
- Tecnología de Polímeros
- Tecnología de Cerárnicos
- Biomateriales
- Composites
- Caracterización de los Materiales
- Optimización del Proceso
- Degradación de Polímeros
Assessment : -
Comments : Duration : 6 months.
Semester in Sweden
Teacher in charge:
• Zoubir AYADI
Hours: Lecture: 0 h Tutorial: 0 h Practical work: 0 h
Objectives: -
Program: Courses :
- Metal Forming, advanced course (4 points)
- Non-traditional Metal Working (4 points)
- High Performance Ceramic (4 points)
- Special Metallic Materials (4 points)
- Polymer Science and Engineering. II processing and Design (5 points)
- Materials Science of Polymer Composites (4 points)
- Processing with high-energy beams (4 points)
- Metal and ceramic Matrix composites (4 points)
- Damage in fiber composites (5 points)
- Cours de suédois obligatoires
September 2005 -42-