Pub. Date:
Cambridge University Press
Nonlinear Elasticity: Theory and Applications

Nonlinear Elasticity: Theory and Applications

by Y. B. Fu, R. W. Ogden


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This collection of papers by leading researchers in the field of finite, nonlinear elasticity concerns itself with the behavior of objects that deform when external forces or temperature gradients are applied. This process is extremely important in many industrial settings, such as aerospace and rubber industries. This book covers the various aspects of the subject comprehensively with careful explanations of the basic theories and individual chapters each covering a different research direction. The authors discuss the use of symbolic manipulation software as well as computer algorithm issues. The emphasis is placed firmly on covering modern, recent developments, rather than the very theoretical approach often found. The book will be an excellent reference for both beginners and specialists in engineering, applied mathematics and physics.

Product Details

ISBN-13: 9780521796958
Publisher: Cambridge University Press
Publication date: 10/28/2002
Series: London Mathematical Society Lecture Note Series , #283
Pages: 538
Product dimensions: 6.00(w) x 9.00(h) x 1.50(d)

Table of Contents

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.

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