Finite Elasticity Theory

by David J. Steigmann

Overview

Containing case studies and examples, the book aims to cover extensive research particularly on surface stress and topics related to the variational approach to the subject, and non-standard topics such as the rigorous treatment of constraints and a full discussion of algebraic inequalities associated with realistic material behaviour, and their implications.

Serving as an introduction to the basic elements of Finite Elasticity, this textbook is the cornerstone for any graduate-level on the topic, while also providing a template for a host of theories in Solid Mechanics.

Product Details

ISBN-13:	9780198567783
Publisher:	Oxford University Press
Publication date:	10/17/2017
Edition description:	New Edition
Pages:	198
Product dimensions:	6.10(w) x 9.30(h) x 0.60(d)

About the Author

David J. Steigmann, University of California, Berkeley

David J. Steigmann is Professor of Mechanical Engineering at University of California at Berkeley. He has published extensively within his research interests, including finite elasticity, thin shells, the plasticity theory, and tensile structures. He sits on the editorial boards of ZAMP, Journal of Elasticity, Journal of the Mechanics of Materials and Structures, among others.

Table of Contents

1. Concept of an elastic material2. Observers and invariance3. Mechanical power and hyperelasticity4. Material symmetry5. Fiber symmetry6. Stress response in the presence of local constraints on the deformation7. Some boundary-value problems for uniform isotropic incompressible materials8. Some examples involving uniform, compressible isotropic materials9. Material stability, strong ellipticity and smoothness of equilibria10. Membrane theory11. Stability and the energy criterion12. Linearized theory, the second variation and bifurcation of equilibria13. Elements of plasticity theory

Editorial Reviews

"There are many textbooks and treatises on finite elasticity, but Finite Elasticity Theory by David J. Steigmann is special. First, it is at the same time concise and deep, without any dogmatism. Second, it achieves the difficult balance between scientific rigor and clear presentation. Moreover, and probably the most important aspect of this book, there is a subtle interplay between mathematical and physical rigor, two aspects that are rarely seen together in such works." — Nicolas Van Goethem, MathSciNet

From the Publisher