Nonlinear Elasticity -

Nonlinear Elasticity

Theory and Applications

Y. B. Fu, R. W. Ogden (Herausgeber)

Buch | Softcover
540 Seiten
2001
Cambridge University Press (Verlag)
978-0-521-79695-8 (ISBN)
73,55 inkl. MwSt
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.

Erscheint lt. Verlag 7.5.2001
Reihe/Serie London Mathematical Society Lecture Note Series
Zusatzinfo 5 Tables, unspecified; 62 Line drawings, unspecified
Verlagsort Cambridge
Sprache englisch
Maße 152 x 229 mm
Gewicht 790 g
Themenwelt Mathematik / Informatik Mathematik Angewandte Mathematik
Naturwissenschaften Physik / Astronomie Mechanik
ISBN-10 0-521-79695-4 / 0521796954
ISBN-13 978-0-521-79695-8 / 9780521796958
Zustand Neuware
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