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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.
Inhaltsverzeichnis
- 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
Über den Autor / die Autorin
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.
Zusammenfassung
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.
Zusatztext
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.
