Finite Elasticity Theory
Published on 17. August 2017
Book
Hardback
198 pages
978-0-19-856778-3 (ISBN)
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.
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.
Reviews / Votes
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 *More details
Language
English
Place of publication
Oxford
United Kingdom
Target group
College/higher education
Dimensions
Height: 240 mm
Width: 161 mm
Thickness: 15 mm
Weight
467 gr
ISBN-13
978-0-19-856778-3 (9780198567783)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
David J. Steigmann
Finite Elasticity Theory
E-Book
08/2017
1st Edition
OUP eBook
€60.49
Available for download
Person
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.
Content
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
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