Ebook: Theory of Elasticity

This invaluable treatise belongs to the cultural heritage of mechanics. It is an encyclopaedia of the classic and analytic approaches of continuum mechanics and of many domains of natural science. The book is unique also because an impressive number of methods and approaches it displays have been worked out by the author himself. In particular, this implies a full consistency of notation, ideas and mathematical apparatus which results in a unified approach to a broad class of problems. The book is of great interest for engineers who will find a lot of analytical formulae for very different problems covering nearly all aspects of the elastic behavior of materials. In particular, it fills the gap between the well-developed numerical methods and sophisticated methods of elasticity theory. It is also intended for researchers and students taking their first steps in continuum mechanics as it offers a carefully written and logically substantiated basis of both linear and nonlinear continuum mechanics.

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This invaluable treatise belongs to the cultural heritage of mechanics. It is an encyclopaedia of the classic and analytic approaches of continuum mechanics and of many domains of natural science. The book is unique also because an impressive number of methods and approaches it displays have been worked out by the author himself. In particular, this implies a full consistency of notation, ideas and mathematical apparatus which results in a unified approach to a broad class of problems. The book is of great interest for engineers who will find a lot of analytical formulae for very different problems covering nearly all aspects of the elastic behavior of materials. In particular, it fills the gap between the well-developed numerical methods and sophisticated methods of elasticity theory. It is also intended for researchers and students taking their first steps in continuum mechanics as it offers a carefully written and logically substantiated basis of both linear and nonlinear continuum mechanics.
Content:
Front Matter....Pages 1-25
Front Matter....Pages 27-27
Stress tensor....Pages 29-76
Deformation of a continuum....Pages 77-123
Front Matter....Pages 125-125
The constitutive law in the linear theory of elasticity....Pages 127-150
Governing relationships in the linear theory of elasticity....Pages 151-239
Front Matter....Pages 241-241
Three-dimensional problems in the theory of elasticity....Pages 243-407
Saint-Venant’s problem....Pages 409-511
The plane problem of the theory of elasticity....Pages 513-689
Front Matter....Pages 691-691
Constitutive laws for nonlinear elastic bodies....Pages 693-753
Problems and methods of the nonlinear theory of elasticity....Pages 755-878
Back Matter....Pages 879-1050

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This invaluable treatise belongs to the cultural heritage of mechanics. It is an encyclopaedia of the classic and analytic approaches of continuum mechanics and of many domains of natural science. The book is unique also because an impressive number of methods and approaches it displays have been worked out by the author himself. In particular, this implies a full consistency of notation, ideas and mathematical apparatus which results in a unified approach to a broad class of problems. The book is of great interest for engineers who will find a lot of analytical formulae for very different problems covering nearly all aspects of the elastic behavior of materials. In particular, it fills the gap between the well-developed numerical methods and sophisticated methods of elasticity theory. It is also intended for researchers and students taking their first steps in continuum mechanics as it offers a carefully written and logically substantiated basis of both linear and nonlinear continuum mechanics.
Content:
Front Matter....Pages 1-25
Front Matter....Pages 27-27
Stress tensor....Pages 29-76
Deformation of a continuum....Pages 77-123
Front Matter....Pages 125-125
The constitutive law in the linear theory of elasticity....Pages 127-150
Governing relationships in the linear theory of elasticity....Pages 151-239
Front Matter....Pages 241-241
Three-dimensional problems in the theory of elasticity....Pages 243-407
Saint-Venant’s problem....Pages 409-511
The plane problem of the theory of elasticity....Pages 513-689
Front Matter....Pages 691-691
Constitutive laws for nonlinear elastic bodies....Pages 693-753
Problems and methods of the nonlinear theory of elasticity....Pages 755-878
Back Matter....Pages 879-1050
....