A Course on Plasticity Theory

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David J. Steigmann (Professor of Mechanical Engineering, Professor of Mechanical Engineering, University of California, Berkeley)

A Course on Plasticity Theory

David J. Steigmann (Professor of Mechanical Engineering, Professor of Mechanical Engineering, University of California, Berkeley)

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English

Oxford University Press
20 January 2023

States of matter; Mechanical engineering; Materials science

Series: Oxford Series on Materials Modelling

Plasticity Theory is characterized by many competing and often incompatible points of view. This book seeks to strengthen the foundations of continuum plasticity theory, emphasizing a unifying perspective grounded in the fundamental notion of material symmetry. Steigmann's book offers a systematic framework for the proper understanding of established models of plasticity and for their modern extensions and generalizations. Particular emphasis is placed on the differential-geometric aspects of the subject and their role in illuminating the conceptual foundations of plasticity theory. Classical models, together with several subjects of interest in contemporary research, are developed in a unified format. The book is addressed to graduate students and academics working in the field of continuum mechanics.

By: David J. Steigmann (Professor of Mechanical Engineering Professor of Mechanical Engineering University of California Berkeley)
Imprint: Oxford University Press
Country of Publication: United Kingdom
Volume: 7
Dimensions: Height: 253mm, Width: 175mm, Spine: 16mm
Weight: 582g
ISBN: 9780192883155
ISBN 10: 0192883151
Series: Oxford Series on Materials Modelling
Pages: 208
Publication Date: 20 January 2023
Audience: College/higher education , Primary
Format: Hardback
Publisher's Status: Active

1: Preliminaries 2: Brief resumé of nonlinear elasticity theory 3: A primer on tensor analysis in three-dimensional space 4: Deformation and stress in convected coordinates 5: Elastic and plastic deformations 6: Energy, stress, dissipation and plastic evolution 7: Isotropy 8: Small-deformation theory 9: Strain hardening, rate sensitivity and gradient plasticity Solutions to selected problems

David J. Steigmann is Professor of Mechanical Engineering at the University of California, Berkeley.

Reviews for A Course on Plasticity Theory

A very-well conceived book on plasticity theory, with the accent on its fundamentals regarding physical aspects of the subject and its mathematical treatment in the framework of modern continuum mechanics. I strongly and enthusiastically recommend the book. * Vlado A. Lubarda, University of California, San Diego * Any student in mechanics who wants to understand the subject in a concise and effective way will find this book extremely useful. It will become a fundamental textbook in the following decades. * Francesco Dell'Isola, Università dell'Aquila, Italy *