Description

Comprehensive introduction to nonlinear elasticity for graduates and researchers, covering new developments in the field. This book provides a thorough account of the fundamentals of the theory of nonlinear elasticity and a comprehensive review of major current research directions in this important field. Modern topics and recent developments are covered, providing a valuable reference for graduate students and researchers in engineering, applied mathematics and physics. This book provides a thorough account of the fundamentals of the theory of nonlinear elasticity and a comprehensive review of major current research directions in this important field. Modern topics and recent developments are covered, providing a valuable reference for graduate students and researchers in engineering, applied mathematics and physics. 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. "The book succeeds at a variety of levels, and will be a useful resource..." SIAM Review "This beautiful volume, printed with the usual high standards of Cambridge University Press in the Lecture Notes Series of the London Mathematical Society, is a happy addition to the available roster of books on nonlinear