XFEM3-day seminar, 14-16 Sep 2011

The Extended Finite Element MethodFrom basic theory to advanced applications

Standard numerical methods like the FEM and FVM are widely established in today's engineering practice. They are well-suited for the approximation of smooth solutions. However, in the real world, there is an infinite number of examples where field quantities do not behave smoothly but show jumps, kinks, singularities etc. For example in solids, stresses and strains are discontinuous along material interfaces and singular at crack tips. In fluids, pressure and density change rapidly near shocks and the velocity gradient can be extremely large in boundary layers.

In contrast to standard numerical methods, the XFEM enables the approximation of non-smooth solutions with optimal accuracy. This is achieved by a local enrichment of the approximation space such that the special solution properties are considered appropriately. The XFEM is in the focus of intensive research activities and is currently realized in commercial finite element software tools.

• Lectures, discussions & tutorials at TU Braunschweig

• From basic introduction to advanced aspects of the

XFEM and its applications

• Practical realization of the XFEM in MATLAB

• Comprehensive written course material & recent

publications

• Overview of the state of the art in XFEM

• MATLAB source code for all tutorials

www.xfem.rwth-aachen.de

Dr.-Ing. Thomas-Peter FriesRWTH Aachen University, Chair for Computational Analysis of Technical Systems (CATS)

Thomas-Peter Fries studied at the Technical University of Braunschweig in Germany under supervision of Prof. Hermann G. Matthies. In his dissertation, he develops a coupled meshfree/meshbased method for complex fluid-structure interaction problems. Dr. Fries was a post-doctoral fellow at the Northwestern University in Chicago, USA, in the research group of Prof. Ted Belytschko. Since October 2006, Dr. Fries is head of an independent junior research group with the title "Numerical methods for discontinuities in continuum mechanics". The project is funded by the Emmy-Noether program of the German Research Association (DFG).

Prof. Dr.-Ing. Andreas ZilianTechnische Universität Braunschweig, Institute for Structural Analysis

Since 2006, Andreas Zilian holds an assistant professor position (Juniorprofessor) and is head of the research group "Fluid-structure-interaction" at the Institute for Structural Analysis of the Technische Universität Braunschweig. The development of enriched finite element technologies for simulation of multi-physics problems is one of his research focuses. His group investigates efficient descriptions of transient disconti-nuities in a level-set context and the realization of the XFEM-concept in the framework of space-time finite element methods. Beside others he holds contact and collaboration with N. Moës, J. Dolbow, S. Bordas and A. Legay.

http:www.gereby.com siegel_01

Wednesday, 14 September 2011

08:30 - 10:00 Basics of XFEM I weighted residuals, enriched approximation10:30 - 12:00 Basics of XFEM II properties of enriched approximations13:30 - 15:00 Implementation of XFEM numerical integration, assembly, postprocessing15:30 - 17:00 Tutorial A implementation in MATLAB, 1-D: diffusion problem19:30 Social event

Thursday, 15 September 2011

08:30 - 10:00 XFEM in structural mechanics I bi-material problems, corrected XFEM10:30 - 12:00 XFEM in structural mechanics II cracks & crack growth13:30 - 15:00 XFEM in structural mechanics III finite deformation & nonlinear material15:30 - 17:00 Tutorial B implementation in MATLAB, 2-D: inclusions & cracks

Friday, 16 September 2011

08:30 - 10:00 XFEM in fluid mechanics transient problems, moving fronts, two-fluid flows10:30 - 12:00 XFEM in multi-physics fluid-structure interaction13:30 - 15:00 Background of XFEM partition-of-unity method, intrinsic XFEM

This seminar is designed for graduate and doctoral students as well as developers from industry with interest in the XFEM and its wide applications. It is the fifth annual XFEM-seminar following previous seminars in Braunschweig (2007, 2009) and Aachen (2008, 2010).

Dates

Start of online registration 1 March, 2011End of online registration 1 August, 2011Deadline for payment 15 August, 2011

XFEM seminar 14-26 September, 2011

Feegraduate/doctoral students 240 !post-docs/professors 350 !industry 500 !

The fee covers the comprehensive printed course material and documented MATLAB sources from the tutorials.

Language

The language of instruction (English or German) will be chosen in accordance with the audience‘s preferences.