Elastoplasticity theory [electronic resource] / Koichi Hashiguchi.

2nd ed.

9783642358494 electronic book
3642358497 electronic book

Berlin : Springer, ©2014.

English

1 online resource (466 pages).

TA418 .H37 2014eb

620.11232

This book was written to serve as the standard textbook of elastoplasticity for students, engineers and researchers in the field of applied mechanics. The second edition is improved thoroughly from the first edition by selecting the standard theories from various formulations and models, which are required to study essentials of the elastoplasticity steadily and effectively and which will remain universally in the history of elastoplasticity. Explanations of physical concepts in elastoplasticity are explained in detail and formulations and derivations/transformations for all equations are given without abbreviations. It opens with an explanation of vector-tensor analysis and continuum mechanics as a foundation to study elastoplasticity theory, extending over various strain and stress tensors and the substantial physical meanings of objective and corotational rates of tensor. Subsequently, conventional and unconventional elastoplasticity theories are explained comprehensively for the description of general loading behavior covering monotonic, cyclic and non-proportional loading processes. Fundamental notions such as continuity and smoothness conditions, decomposition of deformation into elastic and plastic parts, the associated flow rule, the loading criterion and the anisotropy are described with their mechanical interpretations. Further, explicit constitutive equations of metals and soils which are typical elastoplastic materials are also explained in detail as an engineering practice for the mechanical design of mechanical and civil engineering structures. Constitutive equations of friction between solid bodies are also described since boundary value problems are accompanied with friction phenomenon in general. Finally, the return-mapping algorithm, the consistent tangent operators and the objective time-integration algorithm of rate tensor, etc. are explained comprehensively, which enforce the FEM analyses.

Includes bibliographical references and index.

Access limited to authorized users.

Description based on print version record.

Lecture notes in applied and computational mechanics ; 69.

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