In the past, the possibilities of structural optimization were restricted to an optimal choice of profiles and shape. Further improvement can be obtained by selecting appropriate advanced materials and by optimizing the topology, i.e. finding the best position and arrangement of structural elements within a construction. The optimization of structural topology permits the use of optimization algorithms at a very early stage of the design process. The method presented in this book has been developed by Martin Bendsoe in cooperation with other researchers and can be considered as one of the most effective approaches to the optimization of layout and material design.
This Concise Encyclopedia draws its material from the award-winning Encyclopedia of Materials: Science and Technology, and includes updates and revisions not available in the original set. This customized collection of articles provides a handy reference for materials scientists and engineers with an interest in the structure of metals, polymers, ceramics and glasses, biomaterials, wood, paper, and liquid crystals.Materials science and engineering is concerned with the relationship between the properties and structure of materials. In this context "structure" may be defined on the atomic scale in the case of crystalline materials, on the molecular scale (in the case of polymers, for example), or on the microscopic scale. Each of these definitions has been applied in making the present selection of articles.* Brings together articles from the Encyclopedia of Materials: Science & Technology that focus on the structure of materials at the atomic, molecular and microscopic levels, plus recent updates* Every article has been commissioned and written by an internationally recognized expert and provides a concise overview of a particular aspect of the field * Extensive bibliographies, cross-referencing and indexes guide the user to the most relevant reading in the primary literature
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 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 materials and MEMS.
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