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Nonlinear continuum mechanics for finite element analysis. 2nd ed. (English) Zbl 1142.74002

Cambridge: Cambridge University Press (ISBN 978-0-521-83870-2/hbk). xx, 318 p. (2008).
Bonet and Wood present both the nonlinear continuum analysis and the associated finite element technique in the new edition of the well-received and successful text [for review of the 1st ed. see Zbl 0891.73001]. An opening chapter precedes an introduction to mathematical preliminaries. Aspects of nonlinear kinematics and elasto-plastic behavior are discussed by considering pin-jointed trusses. The development of continuum kinematics, stress, and equilibrium is followed by consideration of hyperelasticity for compressible and incompressible materials including descriptions in principal directions and the treatment of finite-strain elasto-plasticity. The majority of chapters include worked examples and exercises. In addition, the book provides user instructions, program description, and computer implementation fore which the source code is available free. The book is suitable for courses aimed at postgraduate students. It can also be used by those in industry requiring an appreciation of the way in which their computer simulation programs work.

MSC:

74-02 Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids
74S05 Finite element methods applied to problems in solid mechanics
74B20 Nonlinear elasticity
74C15 Large-strain, rate-independent theories of plasticity (including nonlinear plasticity)

Citations:

Zbl 0891.73001
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