Elasticity and Plasticity of Large Deformations
An Introduction
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Beschreibung
The book offers a careful introduction to modern non-linear mechanics. The used mathematical tools, such as tensor algebra and analysis are given in detail. The general theory of mechanical behaviour is particularized for the broad and important classes of elasticity and plasticity. It is intended to bring the reader close to the fields of today's research activities. A list of notations and an index help the reader to find specific topics. The book is based on three decades of teaching experience in this field.
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.
Introduction to the difficult topic of Non-linear Elasticity and Finite Plasticity
Thoroughly based on physical and mathematical reason avoiding common intuitive approaches
This careful and detailed introduction to non-linear continuum mechanics and to elasticity and platicity, with a unique mathematical foundation, starts right from the basics. Unlike other textbooks in the field, it incorporates and provides introductions to tensor calculus and general continuum mechanics. The general theory of mechanical behaviour is particularized for the broad and important classes of elasticity and plasticity. This text, based on three decades of teaching experience in this field, brings the reader to the forefront of today's knowledge. A list of notations and an index help the reader finding specific topics.
Autor*in
Albrecht Bertram
Themen in »Elasticity and Plasticity of Large Deformations«
large (finite) deformations material theory mechanics non-linear continuum mechanics plasticity
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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)
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