Non-Linear Elastic Deformations

Nonfiction, Science & Nature, Technology, Engineering, Civil
Cover of the book Non-Linear Elastic Deformations by R. W. Ogden, Dover Publications
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Author: R. W. Ogden ISBN: 9780486318714
Publisher: Dover Publications Publication: April 26, 2013
Imprint: Dover Publications Language: English
Author: R. W. Ogden
ISBN: 9780486318714
Publisher: Dover Publications
Publication: April 26, 2013
Imprint: Dover Publications
Language: English

This meticulous and precise account of the theory of finite elasticity fills a significant gap in the literature. The book is concerned with the mathematical theory of non-linear elasticity, the application of this theory to the solution of boundary-value problems (including discussion of bifurcation and stability) and the analysis of the mechanical properties of solid materials capable of large elastic deformations. The setting is purely isothermal and no reference is made to thermodynamics. For the most part attention is restricted to the quasi-static theory, but some brief relevant discussion of time-dependent problems is included.
Especially coherent and well written, Professor Ogden's book includes not only all the basic material but many unpublished results and new approaches to existing problems. In part the work can be regarded as a research monograph but, at the same time, parts of it are also suitable as a postgraduate text. Problems designed to further develop the text material are given throughout and some of these contain statements of new results.
Widely regarded as a classic in the field, this work is aimed at research workers and students in applied mathematics, mechanical engineering, and continuum mechanics. It will also be of great interest to materials scientists and other scientists concerned with the elastic properties of materials.

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This meticulous and precise account of the theory of finite elasticity fills a significant gap in the literature. The book is concerned with the mathematical theory of non-linear elasticity, the application of this theory to the solution of boundary-value problems (including discussion of bifurcation and stability) and the analysis of the mechanical properties of solid materials capable of large elastic deformations. The setting is purely isothermal and no reference is made to thermodynamics. For the most part attention is restricted to the quasi-static theory, but some brief relevant discussion of time-dependent problems is included.
Especially coherent and well written, Professor Ogden's book includes not only all the basic material but many unpublished results and new approaches to existing problems. In part the work can be regarded as a research monograph but, at the same time, parts of it are also suitable as a postgraduate text. Problems designed to further develop the text material are given throughout and some of these contain statements of new results.
Widely regarded as a classic in the field, this work is aimed at research workers and students in applied mathematics, mechanical engineering, and continuum mechanics. It will also be of great interest to materials scientists and other scientists concerned with the elastic properties of materials.

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