Skip to main content
SpringerLink
Log in

Elasticity and Plasticity of Large Deformations

An Introduction

  • Book
  • © 2005

Overview

Authors:
  1. Albrecht Bertram

    1. Institut für Mechanik, Otto -von-Guericke-Universität, Magdeburg, Germany

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Introduction to the difficult topic of Non-linear Elasticity and Finite Plasticity

  • Thoroughly based on physical and mathematical reason avoiding common intuitive approaches

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (11 chapters)

  1. Front Matter

    Pages I-XIV
    Download chapter PDF

  2. Introduction

    Pages 1-2

  3. Mathematical Preparation

    Pages 3-90

  4. Kinematics

    Pages 91-120

  5. Balance Laws

    Pages 121-152

  6. The Principles of Material Theory

    Pages 153-165

  7. Internal Constraints

    Pages 166-174

  8. Elasticity

    Pages 175-205

  9. Hyperelasticity

    Pages 206-224

  10. Solutions

    Pages 225-243

  11. Inelasticity

    Pages 244-247

  12. Plasticity

    Pages 248-306

  13. Back Matter

    Pages 307-326
    Download chapter PDF
Back to top

Keywords

About this book

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 the­ ory 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 be­ ginning without assuming much knowledge of the subject. Hence, the text should be generally comprehensible to all engineers, physicists, mathematicians, and others. At the beginning of each new section, a brief Comment on the Literature con­ tains recommendations for further reading. Throughout the text we quote only the important contributions to the subject matter. We are far from being complete or exhaustive in our references, and we apologise to any colleagues not mentioned in spite of their important contributions to the particular items. It is intended to indicate any corrections to this text on our website http://www.uni-magdeburg.de/ifme/l-festigkeit/elastoplasti.html along with remarks from the readers, who are encouraged to send their frank criti­ cisms, comments and suggestions to bertram@mb.uni-magdeburg.de. All the author's royalties from this issue will be donated to charitable organisa­ tions like Terres des Hommes.

Reviews

From the reviews:

"The book is divided in four parts of similar importance, 80 pages for each of the first three respectively devoted to the mathematical background, continuum mechanics in general and elasticity, while the remaining 60 pages deal with the central subject, plasticity. … As a conclusion this book will be appreciated by two different types of readers: somebody looking for an introduction to modern continuum mechanics for solid materials … . More advanced readers will be interested by an original vision of plasticity … ." (Technische Mechanik, Vol. 27 (2), 2007)

Authors and Affiliations

  • Institut für Mechanik, Otto -von-Guericke-Universität, Magdeburg, Germany

    Albrecht Bertram

Bibliographic Information

  • Book Title: Elasticity and Plasticity of Large Deformations

  • Book Subtitle: An Introduction

  • Authors: Albrecht Bertram

  • DOI: https://doi.org/10.1007/3-540-27525-8

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2005

  • eBook ISBN: 978-3-540-27525-1Published: 03 February 2007

  • Edition Number: 1

  • Number of Pages: XIV, 326

  • Topics: Solid Mechanics

Publish with us

Policies and ethics

Back to top

Search

Navigation