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Elasticity and Plasticity of Large Deformations

An Introduction

  • Book
  • © 2008

Overview

Authors:
  1. Albrecht Bertram

    1. Otto-von-Guericke-Univ. Inst. Mechanik, Germany

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

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

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Table of contents (10 chapters)

  1. Front Matter

    Pages I-2
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  2. Mathematical Preparation

    • Albrecht Bertram
    Pages 3-90

  3. Kinematics

    • Albrecht Bertram
    Pages 91-120

  4. Balance Laws

    • Albrecht Bertram
    Pages 121-152

  5. The Principles of Material Theory

    • Albrecht Bertram
    Pages 153-165

  6. Internal Constraints

    • Albrecht Bertram
    Pages 167-175

  7. Elasticity

    • Albrecht Bertram
    Pages 177-207

  8. Hyperelasticity

    • Albrecht Bertram
    Pages 209-227

  9. Solutions

    • Albrecht Bertram
    Pages 229-247

  10. Inelasticity

    • Albrecht Bertram
    Pages 249-252

  11. Plasticity

    • Albrecht Bertram
    Pages 253-315

  12. Back Matter

    Pages 317-339
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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 t- 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 - 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 c- 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 cri- cisms, comments and suggestions to bertram@mb.uni-magdeburg.de. All the author’s royalties from this issue will be donated to charitable organi- 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)

"This is a textbook containing some modern topics in the field of nonlinear description of solid continua. … It contains the mathematical tools needed in the domain, the basic elements of mechanics of continua, as well as the most important models in the field of solid continua, namely elasticity and plasticity. … This book is useful to students and researchers in the area of solid mechanics." (Olivian Simionescu, Zentralblatt MATH, Vol. 1154, 2009)

Authors and Affiliations

  • Otto-von-Guericke-Univ. Inst. Mechanik, Germany

    Albrecht Bertram

Bibliographic Information

  • Book Title: Elasticity and Plasticity of Large Deformations

  • Book Subtitle: An Introduction

  • Authors: Albrecht Bertram

  • DOI: https://doi.org/10.1007/978-3-540-69400-7

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2008

  • eBook ISBN: 978-3-540-69400-7Published: 03 August 2008

  • Edition Number: 2

  • Number of Pages: XVIII, 340

  • Number of Illustrations: 35 b/w illustrations

  • Topics: Solid Mechanics, Characterization and Evaluation of Materials

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