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.