Elasticity and Plasticity of Large Deformations: Including Gradient Materials

by Albrecht Bertram

Overview

This book presents an introduction to material theory and, in particular, to elasticity, plasticity and viscoelasticity, to bring the reader close to the frontiers of today’s knowledge in these particular fields. It starts right from the beginning without assuming much knowledge of the subject. Hence, the book is generally comprehensible to all engineers, physicists, mathematicians, and others. At the beginning of each new section, a brief Comment on the Literature contains recommendations for further reading.

This book includes an updated reference list and over 100 changes throughout the book. It contains the latest knowledge on the subject.

Two new chapters have been added in this new edition. Now finite viscoelasticity is included, and an Essay on gradient materials, which have recently drawn much attention.

Product Details

ISBN-13:	9783030723279
Publisher:	Springer International Publishing
Publication date:	04/08/2021
Edition description:	4th ed. 2021
Pages:	410
Product dimensions:	6.10(w) x 9.25(h) x (d)

About the Author

Albrecht Bertram, born in 1950, is professor for engineering mechanics at the University of Magdeburg and the Technical University of Berlin. He was visiting professor at Paris Tech and the University of California in Berkeley. His field of research is continuum mechanics and in particular, material modeling (elasticity, plasticity, viscoelasticity, damage, anisotropy, micro-macro, gradient materials, etc.).

Table of Contents

Introduction.- Mathematical Preparation.- Kinematics.- Balance Laws.- The Principles of Material Theory.- Internal Constraints.- Elasticity.- Hyperelasticity.- Solutions.- Inelasticity.- Plasticity.- References.- Index.