Finite Elasticity Theory
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Product details:
- Publisher OUP Oxford
- Date of Publication 17 August 2017
- ISBN 9780198567783
- Binding Hardback
- No. of pages198 pages
- Size 240x161x16 mm
- Weight 488 g
- Language English 0
Categories
Short description:
A graduate-level text on Finite Elasticity, suitable for graduate students, post-doctoral associates and researchers. Introduces the reader to the basic elements of this central topic, which serves as a template for a host of theories in Solid Mechanics.
MoreLong description:
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.
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.
Table of Contents:
Concept of an elastic material
Observers and invariance
Mechanical power and hyperelasticity
Material symmetry
Fiber symmetry
Stress response in the presence of local constraints on the deformation
Some boundary-value problems for uniform isotropic incompressible materials
Some examples involving uniform, compressible isotropic materials
Material stability, strong ellipticity and smoothness of equilibria
Membrane theory
Stability and the energy criterion
Linearized theory, the second variation and bifurcation of equilibria
Elements of plasticity theory
