Topology Optimization Book

1	Topology optimization by distribution of isotropic material	1
1.1	Problem formulation and parametrization of design	1
1.2	Solution methods	9
1.3	Complications	28
1.4	Combining topology and shape design	47
1.5	Variations of the theme	53
2	Extensions and applications	71
2.1	Problems in dynamics	72
2.2	Buckling problems	77
2.3	Stress constraints	79
2.4	Pressure loads	84
2.5	Geometrically non-linear problems	86
2.6	Synthesis of compliant mechanisms	94
2.7	Design of supports	108
2.8	Alternative physics problems	110
2.9	Optimal distribution of multiple material phases	117
2.10	Material design	122
2.11	Wave propagation problems	138
2.12	Various other applications	148
3	Design with anisotropic materials	159
3.1	The homogenization approach	160
3.2	Optimized energy functionals	173
3.3	Optimized energy functionals for the homogenization modelling	179
3.4	Design with a free parametrization of material	190
3.5	Plate design with composite materials	204
3.6	Optimal topology design with a damage related criterion	214
4	Topology design of truss structures	221
4.1	Problem formulation for minimum compliance truss design	223
4.2	Problem equivalence and globally optimized energy functionals	230
4.3	Computational procedures and examples	245
4.4	Extensions of truss topology design	252
5	Appendices	261
5.1	Appendix: Matlab codes	261
5.2	Appendix: The existence issue	272
5.3	Appendix: Aspects of shape design: The boundary variations method	276
5.4	Appendix: Homogenization and layered materials	280
5.5	Appendix: Barrier methods for topology design	298
6	Bibliographical notes	305
6.1	Books and survey papers	305
6.2	Papers	307
	References	319
	Author index	354
	Index	365