Book description
Comprehensive introduction to finite elastoplasticity, addressing
various analytical and numerical analyses & including
state-of-the-art theories
Introduction to Finite Elastoplasticity presents introductory
explanations that can be readily understood by readers with only a
basic knowledge of elastoplasticity, showing physical backgrounds of
concepts in detail and derivation processes of almost all equations.
The authors address various analytical and numerical finite strain
analyses, including new theories developed in recent years, and
explain fundamentals including the push-forward and pull-back
operations and the Lie derivatives of tensors.
As a foundation to finite strain theory, the authors begin by
addressing the advanced mathematical and physical properties of
continuum mechanics. They progress to explain a finite elastoplastic
constitutive model, discuss numerical issues on stress computation,
implement the numerical algorithms for stress computation into
large-deformation finite element analysis and illustrate several
numerical examples of boundary-value problems. Programs for the stress
computation of finite elastoplastic models explained in this book are
included in an appendix, and the code can be downloaded from an
accompanying website.
