Nonlinear elasticity : theory and applications / edited by Y.B. Fu, R.W. Ogden.

Format:

Book

Contributor:

Fu, Y. B. (Yibin B.), editor.

Ogden, R. W., 1943- editor.

Series:

London Mathematical Society lecture note series ; 283.

London Mathematical Society lecture note series ; 283

Language:

English

Subjects (All):

Elasticity.

Nonlinear theories.

Physical Description:

1 online resource (xi, 525 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 2001.

Language Note:

English

Summary:

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.

Contents:

Elements of the theory of finite elasticity / R.W. Ogden

Hyperelastic bell materials: retrospection, experiment, theory / M.F. Beatty

Universal results in finite elasticity / G. Saccomandi

Equilibrium solutions for compressible nonlinearly elastic materials / C.O. Horgan

Exact integrals and solutions for finite deformations of the incompressible varga elastic materials / J.M. Hill

shear / Ph. Boulanger and M. Hayes

Elastic membranes / D.M. Haughton

Elements of the theory of elastic surfaces / D.J. Steigmann

Singularity theory and nonlinear bifurcation analysis / Y.-C. Chen

Perturbation methods and nonlinear stability analysis / Y.B. Fu

Nonlinear dispersive waves in a circular rod composed of a mooney-rivlin material / H.H. Dai

strain-energy functions with multiple local minima: modeling phase transformations using finite thermo-elasticity / R. Abeyaratne, K. Bhattacharya and J.K. Knowles

Pseudo-elasticity and stress softening / R.W. Ogden.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references and index.

ISBN:

1-139-88696-7

1-107-36804-9

1-107-37256-9

1-107-36313-6

1-107-36865-0

1-299-40562-2

1-107-36558-9

0-511-52646-6