141

REFERENCES

7.1 LITERATURE REVIEW

7.1.1 Review papers

1. Barnes, M., “Form and stress engineering of tension structures”,

Structural Engineering Review. Vol.6, 1994, pp.175–202.

2. Berke, L., Venkayya, V. B., “Review of optimality criteria approaches

to structural optimization”, In: Schmit, L. A. (ed.): Structural

optimization symposium, New York, 1974,pp. 23-34.

3. Byug Man Kwak, “A Review on shape optimal design and sensitivity

Analysis”, Structural Engineering/Earthquake Engineering,

Vol.10,No.4, 1994, pp.159-174

4. Ding, Y., “Shape optimization of structures – a literature

Survey”, Computers and Structures, Vol. 24, 1986,pp 985–1004

5. Haftka, R.T., Grandhi, R.V., “Structural shape optimization

– a survey”, Computed Methods and Applications in Mechanical

Engineering, Vol. 57, 1986, pp.91–106.

6. Jaroslav Mackerle, “Topology and shape optimization of structures

using FEM and BEM;A bibliography(1999-2001)”,Finite elements in

Analysis and Design,Vol.30, No.3,2003,pp.243-253

7. Levy R., and Lev O., “Recent developments in structural

optimization”, ASCE journal of Engineering structural

division,Vol.113,1987,pp.1939-1962

8. Ozka, M, Uysal, H., “General Aspects of Evolutionary Structural

142

Optimization : A Review”, Journal of Engineering Sciences, Vol. 15,

No. 3, 2009, pp.386

9. Pathak, K.K.,Sehgal, D.K., Saleem Akthar and Bhandari S.S., “A

Review of structural shape optimization techniques”, International

Journal of structural Engineering,Vol.33,No.6,2007,pp.504-514

10. Qatu M. S, “Recent research advances in the dynamic behavior of

shells,1989–2000, Part 1:laminated composite shells”, Applied

Mechanics Reviews, 55, 2002,pp.325 – 350.

11. Qatu, M. S. ,“Recent research advances in the dynamic behavior of

shells,Part 2: homogeneous shells”, Applied Mechanics Reviews,

Vol.55,2002, pp.415434

12. Qing Quan Liang, “Performance-Based Optimization: A Review”,

Faculty of Engineering and Surveying, University of Southern

Queensland, Toowoomba, QLD 4350, Australia

13. Qing, Quan, Liang , “Performance-Based Optimization: A Review”,

Advances in Structural Engineering,Vol.10,No.6,2009,pp. 739-753

14. Rozvany, G.I.N. , “Stress Ratio and Compliance Based Methods in

Topology Optimization - a Critical Review”, Structural and

Multidisciplinary Optimization, Vol. 21, 2001, pp.109- 119.

15. Rozvany, G.I.N., “A critical review of established methods f

structural topology optimization”, Vol. 37, No.3, 2009,pp. 217-237.

16. Rozvany, G.I.N., Bendsoe, M.P., Kirsh, U. , “Layout Optimization of

Structures”, Applied Mechanics Reviews, Vol.48, No.2, 1995, pp.41-

143

118.

17. Samareh,J.a., “A survey of shape parametrization techniques”,

CEAS/AIAA/ICASE/NASA Langley international Forum on Aero

Elasticity and Structural Dynamics, Williamsburg,1999.

18. Sigmund, O., Petersson, J., “Numerical instabilities in

topology optimization: A survey on procedures dealing with

checkerboards, mesh-dependencies and local minima.”, Structural

Optimization,1998,Vol.6, pp.68–75

19. Vanderplaats, G.N., “Structural optimization – past,

present and future”,1982, AIAA J. Vol.20,pp. 992–1000

20. Yeh Liang Hsu, “A review of structural shape optimization,”

Computers in Industry, Vol. 25, 1994, pp. 3-13.

7.2 Technical papers 7.2.1 Thickness/Shape Optimization

21. Adali, S, Verijenko, V.E, Richter, A., “Minimum sensitivity design of

laminated shells under axial load and external pressure”, Composite

Structures, Vol.54, No.2-3, 2001, pp. 139-142.

22. Afonso, S. M. B. and Hinton,E., “Free vibration analysis and shape

optimization of variable thickness plates and shells—II. Sensitivity

analysis and shape optimization”, Computing Systems in

Engineering,Vol.6,No.1,1995,pp.47-66

23. Akira Hasegawa, “Shape optimization of two dimensional bodies by

144

boundary changing method and thickness changing method”,

International Journal for Numerical Methods in Engineering, Vol.

34,No.3, 1992,pp. 889–892

24. Akl, W., Razzen and Baz, A., “Optimal design of underwater stiffened

shells”, Journal of structural and multi disciplinary Optimization,

Vol.23, 2002, pp.297-310.

25. Antonio Tomás and Pascual Martí, “Shape and size optimization of

concrete shells Engineering structures”, Vol.32, No. 6, 2010, pp.

1650-1658

26. Araar, M., Julien, J.F., “Buckling of cylindrical shells under external

pressure proposition of a new shape of self-stiffened shell”,

Structural Engineering and Mechanics, Vol. 4,No.4,2006,pp.451-

460.

27. Babuska, I., and Rheinboldt, W. C., "Analysis of Optimal Finite

Element Meshes in R", Mathematics of Computation,1979, Vol. 33,

pp. 431-463

28. Bennett, J.A. and Botkin, M.E., “Structural shape optimization with

geometric problem description and adaptive mesh refinement”,

American Institute of Aeronautics and Astronautics journal,

Vol.23,1985, pp.458-464.

29. Bhavikatti, S.S., and Ramakrishnan, C.V., “Optimum Shape design

of Rotating Disks”, Computers and Structures, Vol. 11,1980,pp.379-

401.

145

30. Bhavikatti,S.S, and Ramakrishnan, C.V, “Computational efficiency

of improved move limit method of sequencial linear programming for

structural optimization”, Computers and Structutres, Vol.

11,1980,pp.191-196.

31. Bletzinger, K U., Kimmich, S., Ramm, E., “Efficient modeling in

shape optimal design”, Computer Systems and Engineering, 1991,

Vol. 2, pp. 483-495.

32. Bletzinger, K.U., Firl, M., Daoud, F., “Approximation of derivatives

in semianalytical structural optimization”, III European Conference

on Computational Mechanics, Lisbon Portugal, 2006.

33. Bletzinger,K.U., Ramm, E., “Structural optimization and form

finding of light weight structures”, Computers and Structures,

2001,Vol.79,No.22-25,pp.2053-62.

34. Bletzinger,K.U., Wuchner, R., Daoud, F., Camprubı, N. ,

“Computational methods for form finding and optimization of shells

and membranes”, Computer Methods and Applications in

Mechanical Engineering, Vol.194,2005,pp.3438–3452.

35. Botkin, M.E, “Shape Optimization of plates and shell structures”,

AIAA journal, Vol. 20, No. 2,pp.

36. Braibant, V. and Fleury, C., “Shape optimal Design using B-

splines”, Computer methods in Applied Mechanics and

Engineering,Vol.44, 1984,pp.247-267.

146

37. Braibant,V. and Fleury, C. and Beckers, C., “ Shape optimal Design:

An approach matching CAD and optimization concept ”,Report

No.SA-109,Aerospace laboratory, University of Liege,Belgium,1983.

38. Bratus, A.S., “Design of Cylindrical shells of minimum weight with

fixed natural frequency oscillation frequencies”, Journal of applied

mathematics and Mechanics,Vo.47,1983,pp.650-657.

39. Chapelle, D, Bathe, KJ, “Fundamental considerations for the finite

element analysis of shell structures”, Computer & Structures.

Vol.66,No.1, 1998,pp. 19-36.

40. Chen,T.Y. and Yu,C.C.,”Shape optimization of openings in a

composite laminated plate”,Third International Conference on

Computer aided optimum design of structures,Zaragoza,1993.

41. Cheung,M.S. and Cheung, Y.K., “Analysis of curved box girder

bridge by finite strip method”, IABSE Publication, Vol. 31,No.1,

1971, pp.1-19.

42. Daoud,F., Camprubi, N., Bletzinger, K.-U., “Filtering and

regularization shape optimization techniques for optimization with

CAD-free parametrization”, Book of Abstracts of Third M.I.T.

Conference on Computational Fluid and Solid Mechanics, M.I.T,

Cambridge, MA, USA, 2005.

43. David, P., Thambiratnam, V., Thevendran, S. L., Chang, S. L.,

“maximization of natural frequencies of cylindrical shells”,

147

Engineering Optimization, Vol.13, No. 2, 1988 , pp. 85 - 97

44. Dawe, D.J. and Peshkam, V., “Bucking and vibration of finite-length

composite prismatic plate structures with diaphragm ends”,

Computer Methods and Applications in Mechanical Engineering,

Vol.77, 1989,pp.1-30.

45. Galante, M., “Genetic Algorithms as an Approach to Optimize Real-

Word Trusses,” International Journal for Numerical Methods in

Engineering, Vol. 39, 1996, pp. 361–382.

46. Ghasemi, M. R., and Hinton, E., “Truss Optimization Using Genetic

Algorithms,” Journal of Engineering Computations, Vol. 16, No. 3,

1999, pp. 272–301.

47. Gotsis, P.K., “Structural optimization of shell structures”,

Computers and Structures, Vol.50, No.4, 1994, pp.499-507.

48. Guan, H., “Effect of sizes and positions of web openings on strut-

and-tie models of deep beams”, Advances in Structural Engineering,

Vol.8, No.1, 2005, pp. 69-83.

49. Guan,H., “Strut-and-tie model of deep beams with web openings- An

optimization approach”, International journal of Structural

Engineering and Mechanics,Vol.19,No.4,2005,pp.361-379

50. Gutkowskia,W., Bauera,J and Zdzisław Iwanowa, “Discrete

structural Optimization”, Computer Methods in Applied Mechanics

and Engineering, Vol.51, No.1-3, 1985, pp. 71-78

51. Hartman, D. and Neummann, M., “Structural optimization of a box

148

girder bridge by means of the finite strip method”, Computer Aided

Optimum Design of Structures, Vol.No.4,1989 pp.337-346

52. Heller,M., Kaye,R. and Rose,L.R.F., “A gradientless finite element

procedure for shape optimization”, The Journal of Strain Analysis

for Engineering Design,Vol.34, 1999,pp: 323-336

53. Hemada, M., Seguchi, Y. and Tada, Y., “Shape determination

problems of structures by inverse variational principles”, Bulletin of

journal of structural and Mechanical

Engineering,Vol.10,1980,pp.123-184.

54. Hernndez, S., Fontn, A.N., “Shape and size optimization of three

dimensional shells”, In: Astudillo R, Madrid AJ, editors. Shells and

spatial structures: From recent past to the next millennium. Proc

40th cong IASS. Vol. 1, 1999, pp. 41-57. [15]

55. HHinton, E., Rao, N.V.R. and Ozakca, M., “An integrated approach to

structural shape optimization of linearly elastic structures, Part I:

General methodology and Part II: Shape definition and adaptivity”,

Computing Systems in Engineering, Vol. 2, No. 1, 1991, pp. 27-39 and

41-56.

56. Hinton, E. and Rao, N.V.R., “Analysis and Shape Optimization of

variable thickness prismatic folded plates and curved shells. Part 1:

finite strip formulation”, Thin walled structures, Vol.17, 1993,

pp.81-111.

57. Hinton, E. and Rao, N.V.R., “Structural Shape Optimization of

149

Shells and Folded Plates using Two-noded Finite Strips”, Computers

and Structures, Vol. 46, No. 6, 1993, pp. 1055-2072

58. Hinton, E., Ozakca, M. and Rao, N.V.R., “Free vibration analysis and

shape optimization of variable thickness prismatic folded plates and

curved shells Part 1 and 2”,Journal of Sound and Vibration, Vol.

181, 1995, pp. 553-566 and 567-581.

59. Hinton, E., Ozakca, M. and Rao, N.V.R., “Free vibration analysis and

shape optimization of prismatic folded plates and shells with

circular curved plan form”, International Journal of Numerical

Methods in Engineering, Vol. 37, 1994, pp. 1713-1739.

60. Hinton, E., OZakca, M. and Rao, N.V.R., “Free vibration analysis

and shape optimization of variable thickness prismatic folded plates

and curved shells-Part I: Finite Strip formulation”, Journal of Sound

and Vibration, Vol.181,No.4, 1995,pp.553-556.

61. Hinton, E., Rao, N.V.R, Ozakca, M, “Mesh generation with adaptive

finite element analysis”, Advance engineering software, ,Vol.13,

1991,pp.238-262

62. Hinton, E., Rao, N.V.R. and Sienz, J., “Finite element structural

shape and thickness optimization of axi-symmetric shells”,

Engineering Computations, Vol. 9, 1992, pp. 499-527.

63. Hiroshi, O., Kenji, Y., “Optimization of Shell and Spatial Structure

for Specified Stress Distribution”,1998, Memoirs the School of

Engineering, Nagoya University Vol.50, No.1

150

64. Hyman, B.I., Lucas, A.W., Jr., “An optimum design for the

instability of cylindrical shells under lateral pressure”, AIAA

Journal, Vol. 9,1971,pp.738-740.

65. Kandasamy, and A. V. Singh, “Free vibration analysis of skewed

open circular cylindrical Shells”, Journal of Sound and Vibration,

2006, Vol.290, pp.1111–1118.

66. Kegl, M. and Brank, B., “Shape optimization of truss-stiffened shell

structures with variable thickness,” Computer Methods in Applied

Mechanics and Engineering, Vol. 195, No. 19-22, 2006, pp. 2611-

2634.

67. Kikuchi, N., Chung, K.Y., Torigaki, T., Taylor, E., “Adaptive

Finite element methods for shape optimization”, Comp.Meth. Appl.

Mech. Engrg., Vol.57, 1986, pp.67–89

68. Kimmich,S. and Ramm,E., “Structural optimization and analysis

with program system CARAT”, Discretization methods instructural

Optimization-Procedures and applications, Springer –

Verlag,Berlin,1989,pp.186-193

69. Kollegger, J. and Mehlhorn, G.,“Analysis of a Free-Formed

Reinforced Concrete Model Shell”, Proceedings of 2nd International

Conference on Computer Aided Analysis and Design of Concrete

Structures, Pineridge Press, 1990.

70. Li, Q., Steven, G.P., Xie, Y.M., “A simple checkerboard suppression

algorithm for evolutionary structural optimization”, Journal of

151

structural and multi disciplinary Optimization , Vol. 22, No. 3,2001,

pp. 230- 239.

71. Liang, Q. Q., Xie, Y. M. and Steven, G. P., “Topology Optimization of

Strut-and-Tie Models in Reinforced Concrete Structures Using an

Evolutionary Procedure”, ACI Structural Journal, Vol.97,No. 2,

2000, pp. 322-331.

72. Lindby, T. and Santos J. L. T., “Shape optimization of three-

dimensional shell structures with the shape parameterization of

a CAD system”, Structural Optimization, Vol.18, 1999, pp.126-33.

73. Linhard, J., Wuchner, R., Bletzinger, K.U., “Introducing cutting

patterns in form finding and structural analysis”,Textile Composites

and Inflatable Structures II, Springer, 2008.

74. Maisel, B.I., “Analysis of Concrete Box Beams Using Small-

Computer Capacity”, C&CA, Development Report No.5, 1982.

London, United Kingdom.

75. Mattheck, C, “Engineering components grow like trees”,

Materialwiss. u Werkstofftechnik ,Vol.21, 1990,pp. 143-169

76. Mattheck, C., “Why they grow, how they grow the mechanics of

trees”, Agricultural Journal, Vol. 14,1990, pp. 1- 17.

77. Mota Soares, C.M.,Barbosa, J.I, Mota Soares, C.A and Pinto P.,

“Optimal Design of axisymmetric shell structures”, Finite Element

Methods in Computer Aided Design, 1987,pp.68-78

78. N. Camprubí, M. Bischoff, K.-U. Bletzinger. , .On the significance of

152

locking on shape optimization of shells., Contribution to the 2nd

M.I.T. Conference on Computational Fluid and Solid Mechanics.

June 2003.

79. Oda, J. and Yamazaki, K., “On a technique to obtain strength shape

of axisymmetric body by the finite element method-Application to

the problem under body force”, Bulletin of journal of structural and

Mechanical Engineering, Vol. 22, 1979, pp.131-140.

80. Oda, J., and Yamazaki, K., “On a technique to obtain strength

shape of Axisymmetric body by the finite element method”, Bulletin

of journal of structural and Mechanical Engineering, Vol. 20,

1977,pp.1524-1532.

81. Ohmori, H. and Ohki, Y., “Shape Finding Analysis by using

Hanging Membrane”, Proceedings of National Congress for Applied

Mechanics, Vol.43, 1994, pp.11–18

82. Ohmori, H., “On the Structural Configuration Mechanics by Using

Variational Principles”, Proc. International Association of Shell and

Spatial Structures (IASS), Vol.1, 1992, pp.894–905

83. Ohmori,H. and Yamamoto,K., “Shape Optimization of Shell and

Spatial Structures for Specified Stress Distribution (Part1: Shell

Analysis)”, Journal of IASS, Vol. 39. No. 1, 1998,pp. 3-13

84. Ohmori,H. and Yamamoto,K., “Shape Optimization of Shell and

Spatial Structures for Specified Stress Distribution (Part2: Space

Frame Analysis)”, Journal of IASS, Vol. 39.No. 3, 1998,pp. 147-157

153

85. Olhoff, N., “Optimal design with respect to structural eigen values”

,Theoretical and Applied Mechanics, Proc. XVth Int. IUTAM

Congress, North-Holland, 1980, pp. 133–149

86. Ozakca, M. and N. Taysi, “Analysis and Shape optimization of

variable thickness box girder bridges in curved platform”, Electronic

Journal of Structural Engineering, Vol.3 2003,pp.1-22

87. Pourazady, M. and FU, Z., “An integrated approach to structural

shape Optimization”, Computers and

Structures,Vol.60,No.2,1996,pp.279-289

88. Prager, W. and Taylor, J.E., “Problems of Optimal Structural

Design”, Journal of Applied Mechanics, 1968,,ASME, Vol.35,

pp.122-106.

89. Prager, W., “Optimization of Structural Design”, Journal of

Optimization Theory and Application,,1976, Vol.6, No.1, pp.1-21.

90. Prasad,B., Haftaka, R.T., “Optimum structural design with plate

elements”, ASCE Structural Engineering journal,Vol.no.11, 1979,

pp247-263

91. Pugnale, Alberto and Sassone, Mario, ”Morphogenesis and

Structural Optimization of Shell Structures with the Aid of a Genetic

Algorithm”, Journal of the International Association for Shell and

Spatial Structures, Vol. 48, No. 155, 2007, pp. 161-166.

92. Rajeev, S., and Krishnamoorty, C. S., “Discrete Optimization of

Structures Using Genetic Algorithms,” Journal of Structural

154

Engineering, Vol. 118, 1992, pp. 1233–1250.

93. Ramm, E. and Reitinger, R., “Force follows form in shell design”,

Proceedings of IASS-CSME International Congress on Innovative

Large Span Structures, 1992, pp.13–17

94. Ramm, E., Bletzinger, K.-U., Reitinger, R., Maute, K., “The challenge

of structural optimization”, Advances in structural optimization,

1994,pp.27-52.

95. Ramm,E, Bletzinger,K.U, Kimmich, S., “Strategies in shape

optimization of free form shells”,1991,Nonlinear computational

mechanics-a state of art, springer, berlin, Heidelberg

96. Ramm,E., “Shape Finding Methods of Shells”, Bulletin of the

International Association for Shell and Spatial Structures, Vol. 33,

1992,pp. 89-99,

97. Rao N.V.R., and Dhondy R.K., “Shape Optimization with Prescribed

Movement Directions of Design Variables with Weight Minimization

as Objective,” Journal of The Institution of Engineers (India),

Mechanical Engineering Division, Vol. 89, 2008, pp. 44-49.

98. Rao, N.V.R. and Hinton, E., “Structural optimization of variable-

thickness plates and free-form shell structures,” Structural

Engineering Review, Vol. 5, No.1, 1993, pp. 1-21.

99. Rasmussen, J., “The structural Optimization systems CAOS”,

Structural Optimization, Vol. 1, 1990, pp.109-116.

100. Razaqpur, A.G. and Li, H.G., “Thin walled multi-cell box girder finite

155

element”, Journal of Structural Engineering, Vol.117, No.10, 1991,

pp.2953-2971.

101. Razaqpur, A.G., and H.G. Li, “Refined analysis of curved thin-walled

multi-cell box-girders”, Computers and Structures, Vol.53, No.1,

1994, pp.131-142.

102. Renner, G. and Ekart, A. “Genetic Algorithms in Computer Aided

Design”, Computer Aided Design, Vol.35, 2003, pp.709-726

103. Rotter, JM, “Shell structures: the new European standard and

current research needs”, Thin-walled Structures, Vol.31,No.1-

3,1998, pp. 3-23.

104. Rozvany,G.I.N., Zhou, M. and Birker, T., “Generalized shape

optimization without homogenization”, Structural Optimization, Vol.

4, 1992, pp. 250-254.

105. Rupesh Kumar D., and Ramana Rao N.V., “Shape Optimization of

Bridge Pier with Weight Minimization as Objective,” Journal of the

Indian Road Congress, (Accepted for publication vide Letter No. IRC-

6(110)/2008 Dt. 17-08-2009).

106. Rupesh Kumar D., and Ramana Rao N.V., “Shape Optimization with

Prescribed Movement Directions of Design Variables with Stress

Leveling as Objective,” Journal of Structural Engineering, Vol. 34,

No. 5, December 2007-Janurary 2008, pp. 377-383.

107. Rupesh Kumar D., and Ramana Rao N.V., “Shape Optimization with

Prescribed Movement Directions of Design Variables with Strain

156

Energy Minimization as Objective,” Journal of Structural

Engineering, Vol. 34, No. 6, 2008, pp. 412-420.

108. Sakamoto, H., Takada, S., “Investigation of a Practical Method of

Structural Optimization by Genetic Algorithms”, JSME International

Journal, Series A (Solid Mechanics and Structural Engineering).

Vol.44, No.3, 2001,pp.330-337.

109. Schnack, E., Sporl, U., Iancu, G., “Gradientless Shape Optimization

with FEM”, VDI Forsch.heft 647, 1988, pp. 1 - 44.

110. Scordelis, A.C., “Folded plates for bridges”, Bull. international

association Shell Spatial Structures, Vol.16, No.57, 1974. pp.29-38.

111. Sisodiya, R.G. and Ghali, A., “Analysis of box girder bridges of

arbitrary shape”, IABSEPublication, Vol.32, 1992, pp.203-217.

112. Viswanatha, C.S., “Investigation of distressed bridge pier caps of

parallel bridge located across Musi river adjacent to muslim jung

Bridge, Opposite city college, Hyderabad”, Final report for Chief

Engineer, Greater Hyderabad Municipal

corporation,Hyderabad,A.P.,India,2007.

113. Wuchner, R., Firl, M., Linhard, J., Bletzinger, K.U., “Plateau

regularization method for structural shape optimization and

geometric mesh control”, in: 79th Annual Meeting of the

International Association of Applied Mathematics and Mechanics

GAMM2008, 2008.

114. Yoon Gil Ho1, Matthijs Langelaar, Fred van Keulen, “Topology

157

Optimization for Layered Shell Structures using the Element

Connectivity Parameterization”, International Conference on

Engineering Optimization, ,june,2008

115. Zhou, M., “Optimum design of plates and shells using the DCOC

method”, 1996, Vol. 12,No.2-3, pp.87-92.

116. Zienkiewicz, O. C., "Error estimates and Adaptivity-The essential

ingradients of Engineering FEM Analysis", Proceedings ofsecond

international conference on Quality Assurance and Standards in

Finite Element Analysis, NAFEM,1989,pp.1-5.

117. Zienkiewicz, O. C., and Zhu, J. Z., "A Simple Error Estimator and

Adaptive Procedure for Practical Engineering Analysis",

International Journal for Numerical Methods in Engineering, Vol.

24, 1987,pp. 337-357.

118. Zienkiewicz, O.C. and Campbell, J.S., “Shape optimization and

sequential linear programming”, Optimum Structural Design, 1973.

119. Zolesio, J.P., “Boundary control and variation”, Boundary element

method for shape optimization of linear quadratic elliptical

boundary control problems CRC press,Newyork,1994.

7.2.2 Topology Optimization

120. Ananthasuresh, G.K., Kota S., Kikuchi N., “Strategies for systematic

synthesis of compliant MEMS”, ASME Winter Annual Meeting, DSC-

1994,Vol. 55-2, pp. 677–686.

158

121. Arnout, S., Lombaert, G., Degrande, G., De Roeck, G., “Optimization

as a design tool for shell structures”, IV European conference on

Computational Mechanics, France, May 16-21,2010.

122. Azegami, H. and Kaizu, S., “Smoothing gradient method for non-

parametric shape and topology optimization problems”, in: 7th

World Congress on Structural and Multidisciplinary Optimization

WCSMO, 2007.

123. Beckers, M., “Topology optimization using a dual method with

discrete variables”, 1999,Vol.17, No.1, pp.14 -24.

124. BendsHe, M.P., Kikuchi, N., “Generating optimal topologies in

structural design using a homogenization method”,

Computer Methods and Applications in Mechanical Engineering,

Vol.71, 1988, pp. 197–224.

125. Bendsoe, M.P., Diaz, A.R., Kikuchi, N., "Topology and

Generalizated Layout Optimization of Elastic Structures", Topology

Design of Structures, 1993,pp. 159-206

126. Buhl, T., Pedersen, C.B.W. and Sigmund, O., “Stiffness design of

geometrically nonlinear structures using topology optimization”,

Vol.19, No.2,2000,pp.93 - 104.

127. Buhl,T., “Simultaneous Topology Optimization of Structure and

Supports”, Structural Multidisciplinary Optimization, Vol.23,

2002,pp.336-346.

128. Calafiore, G.C., Dabbene, F., “Optimization under uncertainty with

159

applications to design of truss structures, Structural and

Multidisciplinary Optimization”, Vol. 35, No.3, 2008,pp. 189-200.

129. Chen, T.-Y., Wu, S.C., “Multiobjective optimal topology design of

structures”, Computational Mechanics,Vol. 21,1998,pp.483–494

130. Daeyoon Jung, Hae Chang Gea, “topology optimization of nonlinear

structures”, Finite Elements in Analysis and Design,Vol.40,

,2004,pp.417–1427

131. Diz and Sigmund O. “Checkerboard patterns in layout

optimization”,Vol.10, No.1, 1995pp. 40-45.

132. Du, J. and Olhof,f N., “Topological optimization of continuum

structures with design-dependent surface loading -Part I: new

computational approach for 2D problems”, Vol. 27,No.3, 2004,pp.

151 -165.

133. Duysinx, P., BendsHe, M.P., “Topology optimization of continuum

structures with local stress constraints”, International Journal of

Numerical Methods in Engineering,Vol. 43,1998,pp. 1453–1478.

134. Fleury,C.and Breibant,V., “Structural Optimization: A new dual

method using mixed variables”, International journal of Numerical

method in Engineering,Vo.23,1986,pp.409-428

135. Fujii, D. and Kikuchi, N., “Improvement of numerical instabilities in

topology optimization using the SLP method”, Vol.19, No.2, 2000,

pp. 113 -121.

160

136. Gea, H.C., Fu, Y., “Optimal 3D stiffener design with frequency

considerations”, Advanced Engineering softwares,Vol.28,

,1997,pp.525–531.

137. Ghaemi, M. and Logo, J.,“Iterative Procedure Based Topology

Optimization” in: Finno-Ugric International Conference on

Mechanics. Rackeve, Hungary, 29/May/2005, pp.3-4.

138. Hammer, V.B, and Olhoff, N. , “Topology optimization of continuum

structures subjected to pressure loading”, Vol.19,No.2, 2000, pp.85

-92.

139. Hetrick, J. and Kota, S., “An energy formulation for parametric size

and shape optimization of compliant mechanisms”, ASME Journal

of Mechanical Design, Vol. 121, 1999, pp. 229-234.

140. Hinton, E. and Sienz, J. ,“Fully stressed topological design of

structures using an evolutionary procedure”, Engineering

Computations, Vol. 12,1995, pp. 229-244.

141. Jakiela, M.J., Chapman, C., Duda, J., Adewuya, A. and Saitou, K.,

“Continuum structural topology design with genetic algorithms”,

Computer Methods in Applied Mechanics and Engineering,

Vol.186,No.2-4,2000,pp.339–356

142. Kane, C. and Schoenauer, M., “Topological optimum design using

genetic algorithms”, Control and Cybernetics, Vol.25,No.5, 1996,

pp.1059–1088

161

143. Kharmada, G., Olhoff, N., Mohamed, A., Lemaire, M. , “Reliability-

based Topology Optimization” Structural and Multi-disciplinary

Optimization, Vol.26, 2004, pp.295-307.

144. Kutylowski, R., “On non-unique solutions in topology optimization”,

,Vol. 23, No.5, 2002,pp.398 -403.

145. Logo, J. and Ghaemi, M., “Probabilistic Topology Optimization”.

Proceedings of 16th Inter-Institute Seminar, Wien, May 17-20,

2007,pp. 26.

146. Logo, J., “New Type of Optimal Topologies by Iterative Method”,

Mechanics Based Design of Structures and Machines, Vol.33,No.2,

2005,pp. 149-172.

147. Luo, J., Gea, H.C., “A systematic topology optimization approach for

optimal stiffener design”, Structural Optimization,Vol.16, No. 4,

1998,pp. 280–288.

148. Marti, K., Stockl, G., “Topology and Geometry Optimization under

Stochastic Uncertainty”, In: "Numerical Methods of Uncertainties",

Proceedings EUROMECH 405 Colloquium, P. Level et al. (eds.),

Presses Universitaires Valenciennes,2000,pp.55-63.

149. Maute, K., Ramm, E. “Adaptive topology optimization of shell

structures”, AIAA Journal, Vol.35, 1997,pp.1767-1773

162

150. Maute, K., Schwarz, S., Ramm, E., “Adaptive topology optimization

of elasto plastic structures”, Structural Optimization,Vol.15,1998

pp.81–91.

151. Mohammad Rouhi, Masoud Rais-Rohani and Thomas N. Williams,

“Element exchange method for topology optimization”

, Journal of Structural and Multidisciplinary Optimization ,

Vol. 42, No. 2, pp.215-231

152. Muller.O, Albers,A, Sauter.J, Allinger.P, “ Topology Optimization of

Large Real World Structures”, NAFEMS World Congress , Vol. 2,

1999,pp. 827–839

153. Nishiwaki, S., Frecker, M.I., Min, S., Kikuchi, N., “Topology

optimization of compliant mechanisms using the homogenization

method”, International journal of Numerical Methods in

Engineering, Vol. 42, 1998, pp.535–559.

154. O. Sigmund , P.M. Clausen, “Topology optimization using a mixed

formulation: An alternative way to solve pressure load problems”,

Computer methods in applied Mechanics and engineering,

Vol.196,No.13-16,2007,pp.1874-1889

155. Ohsaki, M., Fujisawa, K., Katoh, N., and Kanno Y., “Semi-definite

programming for topology optimization of trusses under multiple

eigenvalue constraints”, Computer Methods and Applications in

Mechanical Engineering, 1999,Vol.180, pp.203–217.

163

156. Olhoff N., “Optimal design with respect to structural eigenvalues”

,Theoretical and Applied Mechanics, Proc. XVth Int. IUTAM

Congress, pages 133–149. North-Holland, 1980

157. Olhoff, N., BendsHe, M.P., Rasmussen, J. “On CAD-integrated

structural topology and design optimization”. Computer Methods

and Applications in Mechanical Engineering, Vol.89, 1991, pp. 259-

279.

158. Papadrakakis M., Tsompanakis y.,Hinton E.and sienze J.,

“Advanced solution methods in topology optimization and shape

sensitivity Analysis”, Journal of Engineering

Computations,Vol.13,No.5,1996,pp.57-90

159. Paris,J, Mu ,I, Navarrina, F, Colominas,I, Casteleiro M, “A

minimum weight FEM formulation for Structural Topological

Optimization with local stress constraints”, 6th World Congresses of

Structural and Multidisciplinary Optimization, Rio de Janeiro, 30

May - 03 June 2005, Brazil

160. Patnaik, S.N., Guptill, D.J., Berke, L., “Merits and limitations of

optimality criteria method for structural optimization”,

International. Journal of Numerical Methods in Engineering, Vol38,

1995, pp.3087-3120.

161. Pedersen, N.L., “Maximization of eigenvalues using topology

optimization”, Structural Multidisciplinary Optimization, Vol.20

,2000, pp.2–11.

164

162. Pomezanski, V., “Changing the Connections of Structural Elements

During an Optimization Process”, Journal of Computational and

Applied Mechanics, Vol.5, No.1,2004.pp.117–127.

163. Prager,W and Shield,R.T., “A general theory of optimal plastic

design”, Journal of Applied Mechanics,Vol.34,No.l,1967,pp.184-186

164. Rahmatalla, S.F. and Swan, C.C., “ A Q4/Q4 continuum structural

topology optimization implementation, Vol.27, No.1-2,”,

2000,pp.130-135.

165. Rozvany, G.I.N, Mroz, Z, “Column Design: Optimization of Support

Conditions and Segmentation”, Journal of Structural Mechanics,

Vol.5,1997,pp. 279-290.

166. Rozvany, G.I.N., Bendsøe, M., Kirsch, U., “Layout optimization of

structures”, Applied Mechanics Review, Vol. 48, 1995, pp.41–119

167. Sigmund O., “A 99 line topology optimization code written in

Matlab”, Structural Multidisciplinary Optimization, Vol. 21, 2001,

pp.120-127.

168. Sigmund O., “Design of multi physics actuators using topology

optimization-Part I: one-material structures”, Computer Methods

and Applications in Mechanical Engineering,2001,Vol.190,pp.

6577–6604.

169. Sigmund O., “Design of multi-physics actuators using topology

optimization-Part II: two-material structures”, Computer Methods

and Applications in Mechanical Engineering, Vol. 190, 2001,pp.

165

6605–6627.

170. Sigmund O., “On the design of compliant mechanisms using

topology optimization.” Mechanical Structures, Vol. 25, 1997,

pp.495–526

171. Soto,C.A, “Optimal structural topology design for energy absorption:

heuristic approach”, ASME DETC 2001/DAC-21126.

172. Stolpe, M. and Svanberg, K., “An alternative interpolation scheme

for minimum compliance topology optimization”, Structural and

Multidisciplinary Optimization, Vol.22, 2001,pp.116-124

173. Stolpe, M.and Svanberg, K., “Modeling topology optimization

problems as linear mixed 0-1 programs”. International Journal for

Numerical Methods in Engineering, Vol.57, 2003,pp.723-739

174. Suzuki,K., Kikuchi,N., “A homogenization method for shape and

topology optimization”, Computer Methods in Applied Mechanics

and Engineering,Vol.93 ,1991,pp. 291–318.

175. Svanberg K., “The method of Moving Asymptotes a new method for

structural Optimization”, International Journal of Numerical

Methods in Engineering,1987,Vol.24,pp.359-373

176. Tai, K. and Akhtar, S., “Structural Topology Optimization Using a

Genetic Algorithm with a Morphological Geometric Representation

Scheme”, Structural and Multidisciplinary Optimization, 2005, in

press

166

177. Tai, K. and Chee, T.H., “Design of Structures and Compliant

Mechanisms by Evolutionary Optimization of Morphological

Representations of Topology”, ASME Journal of Mechanical Design,

Vol.122,No.4,2000, pp.560–566

178. Tai, K. and Chee, T.H., “Genetic Algorithm With Structural

Morphology Representation for Topology Design Optimization”,

Mechanics in Design – Proceedings of the 2nd International

Conference on Mechanics in Design, 1998, Nottingham, pp.827–836

179. Tenek, Lazarus H., Hagiwara, Ichiro, “Optimal rectangular plate and

shallow shell topologies using thickness distribution or

homogenization”, Computer Methods in Applied Mechanics and

Engineering, Vol. 115, No. 1-2, pp. 111-124

180. Wang, M.Y., Wang, X.M. and Guo, D., “ A level set method for

structural topology optimization”, CMAME - Computer Methods in

Applied Mechanics and Engineering, Vol.192, 2003, pp.227-246.

181. Wang, S.Y. and Tai, K., “Graph Representation for Structural

Topology Optimization Using Genetic Algorithms”, Computers and

Structures, Vol.82,2004,pp.1609–1622

182. Wang, S.Y. and Tai, K., “Structural Topology Design Optimization

Using Genetic Algorithms with a Bit-Array Representation”,

Computer Methods in Applied Mechanics and Engineering, 2005

183. Xianghua Xing, Michael Yu Wang, “Topology Optimization with Level

Set Method Based on Streamline Diffusion Finite Element Method”,

167

8th World Congress on Structural and Multidisciplinary

Optimization, 2009, Lisbon, Portugal

184. Yang R. J., “Stress-based topology optimization”, Structural

Optimization, Vol. 12, 1996, pp.98-105.

185. Yang, R.J. and Chuang, C.H. , “Optimal topology design using linear

programming”, Computers & Structures, Vol. 52, No. 2, 1994,pp.

265-275.

186. Yang, R.J., “Multidiscipline topology optimization”, Computers &

Structures, Vol. 63, No. 6, 1997, pp. 1205-1212.

187. Yang, X.Y., Xie, Y.M., Steven, G.P. and Querin, O.M., “Topology

optimization for frequency using an evolutionary method”, Journal

of Structural Engineering, ASCE, Vol. 125, No. 12,1999, pp. 1432-

1438.

188. YYeehh--LLiiaanngg HHssuu,, MMiinngg--SShhoo HHssuu,, CChhuuaann--TTaanngg CChheenn, “Interpreting

results from topology optimization using density contours”,

CCoommppuutteerrss aanndd SSttrruuccttuurreess,, VVooll.. 7799,, NNoo.. 1100,, 22000011,,pppp.. 11004499--11005588

189. Zhou M. and Rozvany G.I.N., “The COC algorithm, Part II:

Topological, Geometrical and Generalized Shape Optimization”,

Computer Methods in Applied Mechanics and Engineering, Vol.89,

1991, pp.309-336.

190. Zhou, M and Rozvany, G.I.N., “On the validity of ESO type methods

in topology optimization”, Structural and Multidisciplinary

168

Optimization, Vol. 21, 2001, pp. 80-83.

191. Zillober, Ch., “A globally convergent version of the method of

moving asymptotes”, Structural Optimzation, Vol.6, 1993, pp.166-

174.

192. Zillober,Ch., K. Schittkowski and K. Moritzen, “Very large scale

optimization by sequential convex programming “, Optimization

Methods and Software ,Vol.19, No. 1, 2004,pp. 103-120

7.2.3 Integrated Thickness/Shape and Topology Optimization

193. Allaire, G., Kohn, R.V., “Topology optimization and optimal

shape design using homogenization” ,Topology design of

structures,Vol.227,1993,pp.207–218

194. Ansola, R., Canales, J., Tarrago, J.A. and Rasmussen, J.,

“An integrated approach for shape and topology optimization of shell

structures”, Computers and Structures, Vol. 80, No.5-6, 2002, pp.

449-458.

195. Arthit Petchsasithon, Peter Gosling, “ Integrated thickness and

shape optimization of linear shells”,13th ACME conference:

university of Sheffield, 2005

196. Baud, R.V. “Fillet profiles for constant stress”, Product Engineering,

Bd. Vol. 5 ,1934.

197. Baud, R.V.Beiträge zur ,“Kenntnis der Spannungsverteilung in

169

prismatischen und keilförmigen Konstruktionselementen mit

Querschnittsübergängen“, Report 29, Schweiz. Verband für

Metallprüfung in der Technik (Bericht 83 der Eidgen. Mat. Prüf.-

Anstalt), Zürich,1934(7)

198. Bendshe, M.P., and Rodrigues, H.C., “Integrated topology and

boundary shape optimization of 2-D Solid,” Computer Methods in

Applied Mechanics and Engineering, Vol. 87,1991, pp. 15-34.

199. Bremicker, M., Chirehdast, M., Kikuch, N. and Papalambros, P.Y.,

“Integrated topology and structural optimization”, Mechanical

structures and Machines,Vol.19,No.4,1991,pp.551-587

200. Bremicker, M., Chirehdas,t N., Kikuchi, P. Y., Papalambros,

“Integrated Topology and Shape Optimization in Structural Design”,

Mechanics Based Design of Structures and Machines: An

International Journal ,1991,Vol.19,No.4,pp.551-587

201. Cappello, F. and Mancuso, A., “A genetic algorithm for combined

topology and shape optimizations”, Computer-Aided Design,Vol.35

2003,pp.761–769

202. Chyi-Yeu Lin, Yu-Hsin Chou, “Automated structural optimization

system for integrated topology and shape optimization”, Journal of

the Chinese Institute of Engineers ,Volume 31, No. 5, 2008, pp. 745

– 756

203. Kumar, A.V., Gossard, D.C., “Synthesis of optimal shape and

topology of structures”, Journal of Mechanical

170

Engineering,Vol.118,1996,pp. 68–74

204. Lin, C.Y., Chao, L.S., “Automated image interpretation for

integrated topology and shape optimization”, Journal of structural

and multi disciplinary Optimization, Vol.20, 2000,pp.125–137

205. Ma Z.-D. , N. Kikuchi , I. Hagiwara, “Structural topology and shape

optimization for a frequency response problem”, Computational

Mechanics, Vol.13, ,1993, pp.157-174

206. Maute, K., Ramm, E., “Adaptive topology optimization”, Structural

Optimization, Vol.10, 1995, pp. 100- 112.

207. Maute, K., Ramm, E., “General shape optimization - an integrated

model for topology and shape optimization”, Vol.27, 1994, pp.299-

306.

208. Mlejnek, H.P. and Schirrmacher, R., "An Engineer's Approach to

Optimal Material Distribution and Shape Finding", Computer

Methods in Applied Mechanics and Engineering, Vol. 106, 1993,pp.

1-26

209. Neuber, H., “Zur Optimierung der spannungskonzentration“,

Journal of Continuum Mechanics and Related Problems of Analysis,

Moskau, Nauka ,1972, pp. 375-380

210. Nima Bakhtiary, Peter Allinger, Matthias Friedrich, Fritz Mulfinger,

Jurgen Sauter, “A New Approach for Sizing, Shape and Topology

Optimization”, 1996 SAE International Congress and Exposition

Detroit, Michigan USA, February 26-29

171

211. Olhoff, N., Bendshe, M.P, Rasmussen, J., “On CAD-Integrated

structural topology and design optimization”, Methods of applied

mechanical engineering journal,Vo.89, ,pp.259-279

212. Schnack, E.,“Optimierung von Spannungskonzentrationen bei

Viellastbeanspruchung“ , ZAMM Bd. 60,1980, pp. 151-152

213. Tang, P.S., Chang, K.H., “Integration of topology and shape

optimization for design of structural components”, Journal of

structural and multi disciplinary Optimization,Vol.22, 2001,pp.65–

82

214. Yildiz, A.R., Ozturk, N., Kaya N. and Ozturk F., “Integrated optimal

topology design and shape optimization using neural networks”,

Journal of structural and multi disciplinary Optimization ,Vol.25,

,2003,pp.251–260

215. Zhou,M., Pagaldipti,N., Thomas,H.L., Shyy,Y.K., “An integrated

approach to topology, sizing, and shape optimization”, Structural

Multidisciplinary Optimization, Vol. 26,2004,pp.308–317

7.3 Master’s/Ph.D. Thesis

216. Belblidia, F., “Fully integrated design optimization for plate

structures,” Ph.D. thesis, No. C/Ph/231/99, Department of Civil

Engineering, University of Wales, Swansea, 1999.

217. Ghoddosian, A., “Improved zero-order techniques for structural

shape optimization using FEM”, Ph.D.Thesis, Applied Mechanics

172

Department, Indian Institute of Delhi,1998

218. Kidsgaard, S., “Analysis and optimization of finite element

discretized structures,” Ph.D. thesis, Institute of Mechanical

Engineering, Aalborg University, 1991.

219. Mohsen Ghaemi, “Topology optimization problems using

optimality criteria methods”, Ph.D. thesis, Budapest University of

Technology and Economics, Faculty of Civil

Engineering,Department of structural Mechanics, Budapest, 2009

220. Ozakca, M., “Analysis and optimal design of structures with

adaptivity,” Ph.D. thesis, No. C/Ph/168/93, Department of Civil

Engineering, University College of Swansea, Swansea, 1993.

221. Roopesh kumar Dhondy, “Single, Bi and Multi-objective

structural Shape optimization”, Ph.D. thesis, Department of Civil

Engineering, Jawaharlal technological University, Hyderabad,

A.P., India

222. Roozen-Kroon,P.J.M, “Structural optimization of bells”, Ph.D

thesis, Technical university of Eindhoven, Eindhoven,1992

223. Seinz, J., “Integrated structural modelling, adaptive analysis, and

shape optimization,” Ph.D. thesis, No. C/Ph/181/94, Department

of Civil Engineering, University College of Swansea, Swansea,

1994.

224. Sporl,U.,“Spannungsoptimale Auslegung elastischer

Strukturen“,Dissertation Universitat Karlsruhe, 1985.

173

225. Wang, Y., “ A Study on Microstructures of Homogenization for

Topology Optimization”, Ph.D. thesis ,School of Architectural, Civil

and Mechanical Engineering, Victoria University of Technology

Melbourne, Australia ,October, 2003

7.4 Text books

226. Allaire, G., “Shape optimization by the homogenization method”,

Applied Mathematical Sciences 146, Springer Verlag ,2002

227. ANSYS 9.0, SAS IP, Inc., 2004, “ANSYS 9.0 Release

Documentation.”

228. Arora, J.S., “Guide to structural optimization” Number 90 in

ASCE Manuals and reports on engineering practice. ASCE, New

York, 1997.

229. Atrek, E., Gallagher R.H., Ragsdell K.M. and Zienkiewicz O.C.,

“New directions in optimum structural design,”John Wiley,

Chichester, 1984.

230. Bathe, K.J., “Finite Element Procedures”, Prentice-Hall,

Englewood Clins, NJ, 1996

231. Belegundu, A.D. and Chandrupatla T.R., “Optimization concepts

and applications in engineering,” Pearson Education, Delhi, 2002.

232. Bendshe,M.P., “Optimization of Structural Topology, Shape and

Material”,1995,Springer-Verlag,Berlin.

174

233. Bendsoe, M. P., Sigmund O. (2003), Topology Optimization:

Theory, Methods and Applications, Springer Verlag, Berlin

234. Bennet, J.A., Botkin, M.E. , “The optimum shape - automated

structural design”, New York: Plenum Press, 1986.

235. Cheung, Y.K, “Finite Strip Method in Structural Analysis”,

Pergamon Press, Sydney, 1976

236. David E. Goldberg, “Genetic algorithms in search, Optimization

and machine learning”, ADDISON-Wesley Publishing

Company,Massachusetts,1989.

237. Gajewski, A. and Zyczkowski, M, “Optimal structural design

under stability constraints”, Kluwer Academic Publishers, The

Netherlands,1998

238. Leissa, A. W., “Vibration of Shells”, 1973, NASA SP – 288,

Government Printing Office, Washington, DC.

239. Qatu, M.S., “Vibration of Laminated Shells and Plates”,2004,

Elsevier.

240. Ramaswamy, G.S., “Design and construction of concrete shell

roofs”. Krieger Publications, 1984

241. Rao, S.S., “Engineering optimization: Theory and practice,” New

Age International, New Delhi, 2003.

242. Rozvany, G.I.N., “Topology Optimization in Structural Mechanics”,

1997,Springer-Verlag Wien, Newyork.

243. Soedel, W., “Vibration of Shells and Plates”, Marcel Dekker, New

175

York,1993

244. Zienkiewicz, O.C. and Campbell, J.S., “Shape optimization and

sequential linear programming”, Optimum structural design,

(Edited by Gallagher R. H. and Zienkiewicz O.C.), John Wiley, New

York, 1973.

245. Zolesio, J.P., “Boundary control and variation, Boundary element

method for shape optimization of linear quadratic elliptic

boundary Control problems”, CRC Press, Marcel

Dekker,Newyaok,1994.