A Course on Plasticity Theory

by David J. Steigmann

Overview

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.

Product Details

ISBN-13:	9780192883155
Publisher:	Oxford University Press
Publication date:	04/20/2023
Series:	Oxford Series on Materials Modelling
Pages:	208
Product dimensions:	10.00(w) x 6.75(h) x 0.50(d)

About the Author

David Steigmann, Professor of Mechanical Engineering, University of California, Berkeley

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

Table of Contents

1. Preliminaries2. Brief resumé of nonlinear elasticity theory3. A primer on tensor analysis in three-dimensional space4. Deformation and stress in convected coordinates5. Elastic and plastic deformations6. Energy, stress, dissipation and plastic evolution7. Isotropy8. Small-deformation theory9. Strain hardening, rate sensitivity and gradient plasticitySolutions to selected problems