A course on plasticity theory
著者
書誌事項
A course on plasticity theory
（Oxford series on materials modelling, 7）
Oxford University Press, c2022
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
1: Preliminaries
2: Brief resume 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
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