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

Contributor(s): Material type: TextTextSeries: London Mathematical Society lecture note series ; 283.Publisher: Cambridge : Cambridge University Press, 2001Description: 1 online resource (xi, 525 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780511526466 (ebook)
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 531/.382 21
LOC classification:
  • QA931 .N585 2001
Online resources:
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.
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.
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Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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.

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.

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