Synopses & Reviews
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
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.
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.
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