zbMATH — the first resource for mathematics

Structural design via optimality criteria. The Prager approach to structural optimization. (English) Zbl 0687.73079
Mechanics of Elastic and Inelastic Solids, 8. Dordrecht etc.: Kluwer Academic Publishers. xxvi, 463 p. £82.00; $ 144.00; Dfl. 250.00 (1989).
[The articles of this volume will not be indexed individually.]
The book deals with a discussion of the so called Prager ideas on static- kinematic optimality criteria and their applications. All optimality criteria are discussed in the context of structural continua but the same conditions can easily be converted into a discretized form of structures.
The book contains nine chapters and one appendix. The first chapter contains the classification of structural optimization problems and explains the advantages of design via optimality criteria. In Chapters 2 to 7 the optimality criteria are explained in detail by means of applications to beam design. These chapters constitute the most important part of the text because they give simple demonstrations of each fundamental principle. Chapter 8 gives a short introduction into the optimal layout theory for structures and demonstrates these principles by means of some highly simplified examples. A highly selected historical survey of optimality criteria methods and related topics is given in Chapter 9. A detailed summary of variational formulae, together with a large number of illustrative examples is given in the appendix.
This is the excellent book covering a fairly wide range of topics and adressed to engineers, researchers, but it may as well be used as an auxiliary text in teaching the graduate and undergraduate courses in structural optimization.
Reviewer: St.Jendo

74P99 Optimization problems in solid mechanics
74-06 Proceedings, conferences, collections, etc. pertaining to mechanics of deformable solids