Finite Elasticity Theory

ISBN : 9780198567783

David Steigmann
192 Pages
156 x 234 mm
Pub date
Jul 2017
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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.


1 Concept of an elastic material
2 Observers and invariance
3 Mechanical power and hyperelasticity
4 Material symmetry
5 Fiber symmetry
6 Stress response in the presence of local constraints on the deformation
7 Some boundary-value problems for uniform isotropic incompressible materials
8 Some examples involving uniform, compressible isotropic materials
9 Material stability, strong ellipticity and smoothness of equilibria
10 Membrane theory
11 Stability and the energy criterion
12 Linearized theory, the second variation and bifurcation of equilibria
13 Elements of plasticity theory

About the author: 

David 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.

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