Chapter 1 Introduction 1
Basic Contents and Key Points 1
1.1 Basic Contents 1
1.1.1 Contents of theory of elasticity 1
1.1.2 Some important concepts in theory of elasticity 1
1.1.3 Basic assumptions in theory of elasticity 2
1.2 Key Points 3
Problems 3
Chapter 2 Theory of Plane Problems 5
Basic Contents and Key Points 5
2.1 Basic Contents 5
2.1.1 Definition of two kinds of plane problems 5
2.1.2 Governing equations 6
2.1.3 Stress at a point 7
2.1.4 Boundary conditions 7
2.1.5 Principle of superposition 8
2.1.6 Saint Venant's principle 9
2.1.7 Solutions to plane problems in terms of displacements 9
2.1.8 Solutions to plane problems in terms of stresses 9
2.1.9 Stress function 10
2.2 Key Points 10
Problems 11
Chapter 3 Solutions to Plane Problems in Rectangular Coordinates 20
Basic Contents and Key Points 20
3.1 Basic Contents 20
3.1.1 Solutions to plane problems by Airy stress function 20
3.1.2 Inverse method and semi-inverse method 20
3.1.3 Notices about the boundary conditions 22
3.2 Key Points 22
Problems 23
Chapter 4 Solutions to Plane Problems in Polar Coordinates 27
Basic Contents and Key Points 27
4.1 Basic Contents 27
4.1.1 Governing equations and unknowns 27
4.1.2 Coordinate transformation of stress components 28
4.1.3 Axi-symmetrical stresses and corresponding displacements 28
4.1.4 Boundary conditions for contact problems 30
4.1.5 Stress concentration at the edge of a hole 30
4.1.6 Stress distributions in a wedge or a semi-infinite domain 32
4.2 Key Points 33
Problems 33
Chapter 5 Theory of Spatial Problems 39
Basic Contents and Key Points 39
5.1 Basic Contents 39
5.1.1 Governing equations and unknowns 39
5.1.2 Stress at a point 40
5.1.3 Boundary conditions 40
5.1.4 Solutions to spatial problems in terms of displacements 41
5.1.5 Solutions to spatial problems in terms of stresses 41
5.2 Key Points 42
Problems 42
Solutions 44
Chapter 1 Introduction 44
Chapter 2 Theory of Plane Problems 46
Chapter 3 Solutions to Plane Problems in Rectangular Coordinates 67
Chapter 4 Solutions to Plane Problems in Polar Coordinates 88
Chapter 5 Theory of Spatial Problems 120
References 129