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De Souza Neto E.A., Peric D., Owen D.R.J. Computational Methods for Plasticity: Theory and Applications

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De Souza Neto E.A., Peric D., Owen D.R.J. Computational Methods for Plasticity: Theory and Applications
John Wiley & Sons Ltd, 2008. – 816 pp.
The purpose of this text is to describe in detail numerical techniques used in small and large strain finite element analysis of elastic and inelastic solids. Attention is focused on the derivation and description of various constitutive models – based on phenomenological hyperelasticity, elastoplasticity and elasto-viscoplasticity – together with the relevant numerical procedures and the practical issues arising in their computer implementation within a quasi-static finite element scheme. Many of the techniques discussed in the text are incorporated in the FORTRAN program, named HYPLAS, which accompanies this book and can be found at www.wiley.com/go/desouzaneto.This computer program has been specially written to illustrate the practical implementation of such techniques. We make no pretence that the text provides a complete account of the topics considered but rather, we see it as an attempt to present a reasonable balance of theory and numerical procedures used in the finite element simulation of the nonlinear mechanical behaviour of solids.
The text is arranged in three main parts. Part One presents some basic material of relevance to the subject matter of the book. It includes an overview of elementary tensor analysis, continuum mechanics and thermodynamics, the finite element method in quasi-static nonlinear solid mechanics and a brief description of the computer program HYPLAS. Part Two deals with small strain problems. It introduces the mathematical theory of infinitesimal plasticity as well as the relevant numerical procedures for the implementation of plasticity models within a finite element environment. Both rate-independent (elastoplastic) and rate-dependent (elasto-viscoplastic) theories are addressed and some advanced models, including anisotropic plasticity and ductile damage are also covered. Finally, in Part Three we focus on large strain problems. The theory of finite hyperelasticity is reviewed first together with details of its finite element implementation.This is followed by an introductionto large strain plasticity. Hyperelastic-based theories with multiplicative elastoplastic kinematics as well as hypoelastic based models are discussed,together with relevant numerical procedures for their treatment.The discussion onfinite plasticity and its finite element implementation culminates with a description of techniques for single crystal plasticity. Finite element techniques for large-strain near-incompressibility are also addressed.
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