Topology Optimization of Structures and Composite Continua (NATO Science Series: II. Mathematics, Physics and Chemistry-Vol. 7)
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Topology optimization of structures and composite materials is a new and rapidly expanding field of mechanics which is now coming to play a major role in most branches of engineering, such as aerospace, mechanical, structural, civil and materials. There are also significant implications for energy production and the building and material sciences. It a truly 'high-tech' field, requiring advanced computer facilities and computational methods, while involving unusual theoretical considerations in pure mathematics. Topology optimization deals with some of the most intractable problems in the mechanical sciences, but is also of considerable practical interest in that it can achieve far greater savings than conventional (sizing or shape) optimization. Extensive research into topology optimization is being conducted in most developed countries. The present book describes the state of the art, bringing together researchers from a diversity of backgrounds: mathematicians, information scientists, aerospace, automotive, mechanical, structural and civil engineers.
PrefaceList of ParticipantsProgramSome recent results on topology optimization of periodic composites3Problem classes, solution strategies and unified terminology of FE-based topology optimization19Comparative study of optimizing the topology of plate-like structures via plate theory and 3-D theory of elasticity37A formulation for optimal structural design with optimal materials49On the influence of geometrical non-linearities in topology optimization61Structural reanalysis for topological modifications - a unified approach77Topological derivative and its application in optimal design of truss and beam structures for displacement, stress and buckling constraints91Transmissible loads in the design of optimal structural topologies107New formulation for truss topology optimization problems under buckling constraints115On singular topologies and related optimization algorithm133An efficient approach for checkerboard and minimum member size control and its implementation in a commercial software149Some intrinsic difficulties with relaxation and penalization methods in topology optimization161Topology optimization subject to design-design-dependent validity of constraints177Evolutionary computing and structural topology optimization - a state of the art assessment195Stress ratio type methods and conditional constraints - a critical review211Advances in evolutionary structural optimization: 1992-2000227Shape optimization with general objective functions using partial relaxation239Equally stressed structures: two-dimensional perspective251Practical aspects of commercial composite topology optimization software development269Topology optimisation of the porous coating distribution in non-cemented hip prostheses279A formulation in design for optimal energy absorption293Optimal design with non-linear elastic materials307Damage tolerant topology optimization under multiple damage configurations317On topology aspects of optimal bi-material physically non-linear structures327Model of functional adaptation of bone and design of composite structural elements339On optimal design problems for unilaterally supported plates subjected to buckling343Shape truss optimization in Java multihreaded genetic program347Optimal design of material and topology based on an energy model351Modelling and optimization of porous materials deformation process355Topology optimization of plastic disks359Optimality conditions in nonconservative stability problems363About nonunique solutions in topology optimization367Optimization of non-elastic plates and shells371Optimisation of rigid-plastic and elastic-plastic beams under dynamic loading375Percolation model of material viscous failure under pressure379Topology design of the joint types and boundary conditions of the discretized structures by mathematical programming383Index387Subject index389
