Introduction to Finite Strain Theory for Continuum Elasto-Plasticity

✍ Scribed by Koichi Hashiguchi, Yuki Yamakawa(auth.)

• Year: 2012
• Tongue: English
• Leaves: 429
• Category: Library

✦ Synopsis

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. 

Content:
Chapter 1 Mathematical Preliminaries (pages 1–83):
Chapter 2 General (Curvilinear) Coordinate System (pages 85–116):
Chapter 3 Description of Physical Quantities in Convected Coordinate System (pages 117–130):
Chapter 4 Strain and Strain Rate Tensors (pages 131–159):
Chapter 5 Convected Derivative (pages 161–177):
Chapter 6 Conservation Laws and Stress (Rate) Tensors (pages 179–223):
Chapter 7 Hyperelasticity (pages 225–235):
Chapter 8 Finite Elasto?Plastic Constitutive Equation (pages 237–286):
Chapter 9 Computational Methods for Finite Strain Elasto?Plasticity (pages 287–336):
Chapter 10 Computer Programs (pages 337–383):