Topology Optimization
The topology optimization method solves the basic enginee- ring problem of distributing a limited amount of material in a design space. The first edition of this book has become the standard text on optimal design which is concerned with the optimization of structural topology, shape and material. This edition, has been substantially revised and updated to reflect progress made in modelling and computational procedures. It also encompasses a comprehensive and unified description of the...
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The topology optimization method solves the basic engineering problem of distributing a limited amount of material in a design space. The first edition of this book has become the standard text on optimal design, which is concerned with the optimization of structural topology, shape and material. This edition has been substantially revised and updated to reflect progress made in modelling and computational procedures. It also encompasses a comprehensive and unified description of the state of the art of the so-called material distribution method, based on the use of mathematical programming and finite elements. Applications treated include not only structures but also MEMS and materials.
1Topology optimization by distribution of isotropic material11.1Problem formulation and parametrization of design11.2Solution methods91.3Complications281.4Combining topology and shape design471.5Variations of the theme532Extensions and applications712.1Problems in dynamics722.2Buckling problems772.3Stress constraints792.4Pressure loads842.5Geometrically non-linear problems862.6Synthesis of compliant mechanisms942.7Design of supports1082.8Alternative physics problems1102.9Optimal distribution of multiple material phases1172.10Material design1222.11Wave propagation problems1382.12Various other applications1483Design with anisotropic materials1593.1The homogenization approach1603.2Optimized energy functionals1733.3Optimized energy functionals for the homogenization modelling1793.4Design with a free parametrization of material1903.5Plate design with composite materials2043.6Optimal topology design with a damage related criterion2144Topology design of truss structures2214.1Problem formulation for minimum compliance truss design2234.2Problem equivalence and globally optimized energy functionals2304.3Computational procedures and examples2454.4Extensions of truss topology design2525Appendices2615.1Appendix: Matlab codes2615.2Appendix: The existence issue2725.3Appendix: Aspects of shape design: The boundary variations method2765.4Appendix: Homogenization and layered materials2805.5Appendix: Barrier methods for topology design2986Bibliographical notes3056.1Books and survey papers3056.2Papers307References319Author index354Index365
