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.
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.
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.
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.
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
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.
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*
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