Bertram A. Elasticity and Plasticity of Large Deformations: An Introduction

Springer-Verlag Berlin, 3rd edition, 2012, 345 pages, ISBN: 3642246141Nonlinear Continuum Mechanics is a rapidly growing field of research. Since the last edition of this book, many important results in this field have been published. This new edition refers to the most important results. The part on hyperelastic models and anisotropic yield criteria has been enlarged and an outlook on Material Plasticity has been added.This book is based on the lecture notes of courses given by the author over the last decade at the Otto-von-Guericke University of Magdeburg and the Technical University of Berlin. Since the author is concerned with researching material theory and, in particular, elasto-plasticity, these courses were intended to bring the students close to the frontiers of today's knowledge in this particular field, an opportunity now offered also to the reader.
The reader should be familiar with vectors and matrices, and with the basics of calculus and analysis. Concerning mechanics, the book starts right from the beginning without assuming much knowledge of the subject. Hence, the text should be generally comprehensible to all engineers, physicists, mathematicians, and others.Mathematical Preparation
Kinematics
Balance Laws
The Principles of Material Theory
Internal Constraints
Elasticity
Hyperelasticity
Solutions
Inelasticity
Plasticity