Topology optimization. Theory, methods, and applications. 2nd ed., corrected printing. (English) Zbl 1059.74001

Bendsøe, M. P.; Sigmund, O.

Berlin: Springer (ISBN 3-540-42992-1/hbk). xiv, 370 p. (2004).

The book consists of two parts. The first part (Chapters 1 and 2) deals with the topology design within the framework of searching for optimum “classical designs” for isotropic materials, covering the theory and computational procedures and describing the broad range of applications that have appeared in recent years. The second part concentrates on compliance design and emphasize the use of composites and materials in the large for optimal structural design (Chapter 3). Here the particular form of compliance functional plays a significant role, and this is also exploited for trusses, where much fundamental understanding can be obtained from a series of problem statements that can be devised (Chapter 4). The monograph also contains a substantial bibliography together with bibliographical notes covering the main subject of this exposition as well as related background material the reader may want to consult (Chapter 6). Finally, appendices (Chapter 5) cover various technical aspects of the area, including Matlab codes that can be used for initial experiments in the field.
Topology optimization is important in many applications because it can give much greater savings than the conventional (sizing or shape) optimization. The book is accessible to the novice and expert, alike, and can be used by students, engineers and scientists working in aerospace, automotive, and mechanical and civil engineering.

Reviewer: Stefan Jendo (Warszawa)

MSC:

74-02	Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids
74P15	Topological methods for optimization problems in solid mechanics

Keywords:

isotropic materials; anisotropic materials; structural design; compliance functional

Software:

TopOpt 3D; TopOpt 2D; Matlab; NLPQL