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Foundations of the Nonlinear Theory of Elasticity

by

Foundations of the Nonlinear Theory of Elasticity Cover

 

Synopses & Reviews

Publisher Comments:

One of a rare set of monographs on the nonlinear theory of elasticity, this book is essential reading for students and academicians alike. In fact, as the Bulletin of the A.M.S. noted, "Students of mechanics will be grateful to the publishers for making available the second of the three existing monographs on the general theory of elasticity."

Translated from the first (1948) Russian edition, this penetrating volume is based on a series of lectures given by the author at Leningrad National University. In addition to discussion of the theory (that contains no assumptions restricting the magnitude of elongations, displacements, or angles of rotation), the author proceeds with a general examination of the connection between stresses and strains in an isotropic elastic body.

Topics include the geometry of strain, equilibrium of a volume element, strain energy, boundary conditions, stress-strain law, formulation of elastic problems in terms of stresses, problems of elastic stability, deformation of elastic bodies, and more. In an effort to make the text accessible to the widest audience, all deductions are carried out in the simplest and most intuitive manner, avoiding tensor calculus and its complex symbolism.

Synopsis:

Topics include a discussion of theory, the connection between stresses and strains in an isotropic elastic body, and much more. Deductions are explained in the simplest manner for widest accessibility. 1953 edition.

Synopsis:

Topics include a discussion of theory, the connection between stresses and strains in an isotropic elastic body, much more. Deductions are explained in the simplest manner for widest accessibility. 1953 edition.

Synopsis:

Topics include a discussion of theory, the connection between stresses and strains in an isotropic elastic body, much more. Deductions are explained in the simplest manner for widest accessibility. 1953 edition.

Synopsis:

This is an essential book for students and academicians alike. In fact, the Bulletin of the A.M.S. noted, "Students of mechanics will be grateful to the publishers for making available the second of the three existing monographs on the general theory of elasticity." In addition to discussing the theory, topics include the connection between stresses and strains in an isotropic elastic body, the geometry of strain and much more. Deductions are explained in the simplest, most intuitive manner for wide accessibility. 1953 edition. Preface. Bibliography. Index.

Description:

Includes bibliographical references (p. 217-230) and index.

Table of Contents

CONTENTS
PREFACE

CHAPTER I. THE GEOMETRY OF STRAIN 

CHAPTER II  THE ELEMENT OF VOLUME OF A BODY 

CHAPTER III.  STRAIN ENERGY, BOUND­ARY CONDITIONS, STRESS ­STRAIN LAW 

CHAPTER IV.  FORMULATION OF ELASTIC PROBLEMS IN TERMS OF STRESSES 

CHAPTER IV.  (Cont.)

CHAPTER V.  THE PROBLEM OF ELASTIC STABILITY 

CHAPTER VI.  ON THE DEFORMATION OF FLEXIBLE BODIES 

BIIBLIOGRAPHY

 

Product Details

ISBN:
9780486406848
Author:
Novozhilov, V. V.
Publisher:
Dover Publications
Author:
Novozhilov
Author:
Engineering
Location:
Mineola, N.Y.
Subject:
Engineering - Civil
Subject:
Dynamics
Subject:
Elasticity
Subject:
Mechanics - Dynamics - General
Subject:
Civil
Subject:
nonlinear theory of elasticity
Subject:
Mechanics
Subject:
Mathematics-Dynamics
Edition Number:
Dover ed.
Edition Description:
Trade Paper
Series:
Dover Books on Engineering
Publication Date:
20111131
Binding:
TRADE PAPER
Language:
English
Illustrations:
Yes
Pages:
256
Dimensions:
8.5 x 5.38 in 0.61 lb

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Related Subjects

Engineering » Civil Engineering » General
Engineering » Mechanical Engineering » General
Science and Mathematics » Mathematics » Dynamics
Science and Mathematics » Physics » Classical Mechanics

Foundations of the Nonlinear Theory of Elasticity New Trade Paper
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Product details 256 pages Dover Publications - English 9780486406848 Reviews:
"Synopsis" by ,
Topics include a discussion of theory, the connection between stresses and strains in an isotropic elastic body, and much more. Deductions are explained in the simplest manner for widest accessibility. 1953 edition.
"Synopsis" by ,
Topics include a discussion of theory, the connection between stresses and strains in an isotropic elastic body, much more. Deductions are explained in the simplest manner for widest accessibility. 1953 edition.
"Synopsis" by , Topics include a discussion of theory, the connection between stresses and strains in an isotropic elastic body, much more. Deductions are explained in the simplest manner for widest accessibility. 1953 edition.
"Synopsis" by ,
This is an essential book for students and academicians alike. In fact, the Bulletin of the A.M.S. noted, "Students of mechanics will be grateful to the publishers for making available the second of the three existing monographs on the general theory of elasticity." In addition to discussing the theory, topics include the connection between stresses and strains in an isotropic elastic body, the geometry of strain and much more. Deductions are explained in the simplest, most intuitive manner for wide accessibility. 1953 edition. Preface. Bibliography. Index.

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