Nonlinear Elasticity
Theory and Applications

Comprehensive introduction to nonlinear elasticity for graduates and researchers, covering new developments in the field.

Y. B. Fu (Edited by), R. W. Ogden (Edited by)

9780521796958, Cambridge University Press

Paperback, published 7 May 2001

540 pages, 62 b/w illus. 5 tables
22.9 x 15.2 x 3 cm, 0.79 kg

"The book represents a good overview of research underway in both the mathematical and physical (mechanics) aspects of nonlinear elasticity at the start of this century." AIAA Journal

Nonlinear elasticity is concerned with nonlinear effects associated with deformations of elastic bodies subjected to external forces or temperature variations. It has important applications in many areas, including the aerospace and rubber industries, and biomechanics. This book, written by a group of leading researchers invited especially for the purpose, provides an up-to-date and concise account of the fundamentals of the theory of nonlinear elasticity and a comprehensive review of several major current research directions in this important field. It combines the characteristics of coherence and detail found in standard treatises with the strength and freshness of research articles. The emphasis is placed firmly on coverage of modern topics and recent developments rather than on the very theoretical approach often found. The book will be an excellent reference source for both beginners and specialists in engineering, applied mathematics and physics. It is also ideally suited for graduate courses.

Preface
1. Elements of the theory of finite elasticity R. W. Ogden
2. Hyperelastic Bell materials: retrospection, experiment, theory M. F. Beatty
3. Universal results in finite elasticity G. Saccomandi
4. Equilibrium solutions for compressible nonlinearly elastic materials C. O. Horgan
5. Exact integrals and solutions for finite deformations of the incompressible Varga elastic materials J. M. Hill
6. Shear Ph. Boulanger and M. Hayes
7. Elastic membranes D. M. Haughton
8. Elements of the theory of elastic surfaces D. J. Steigmann
9. Singularity theory and nonlinear bifurcation analysis Y.-C. Chen
10. Perturbation methods and nonlinear stability analysis Y. B. Fu
11. Nonlinear dispersive waves in a circular rod composed of a Mooney-Rivlin material H.-H. Dai
12. Strain-energy functions with multiple local minima: modeling phase transformations using finite thermo-elasticity R. Abeyaratne, K. Bhattacharya and J. K. Knowles
13. Pseudo-elasticity and stress softening R. W. Ogden.

Subject Areas: Maths for engineers [TBJ], Maths for scientists [PDE], Applied mathematics [PBW]