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Full Description
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.
Contents
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
