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清华弹性力学讲义（word英文版）
Contents
1． Introduction
1.1 History of Elasticity
1.2 Applications of Elasticity
2． Elasticity of Solids
2.1 Definition of Elasticity
2.2 Two Physical Origins of Elasticity
2.3 Tensor Description of Elasticity
2.4 Physical Foundation of Elastic Symmetry
3． Field Equations of Elasticity - Differential Formulation
3.1 Balance Equations of Momentum and Moment
3.2 Compatibility Equation
3.3 Field Equations of Dynamic Elasticity
3.4 Quasi-static Field Equations
3.5 Constraints
3.6 Boundary Conditions
3.7 Formulation of Elasticity
4. Prismatic Rods
4.1 Formulation for Prismatic Rods
4.2 Uniaxial Tension and Pure Bending
4.3 Corrective Solution (Saint Venant Decay)
4.4 Free Torsion of Prismatic Rods
4.5 Inverse and Semi-inverse Solutions
4.6 Formulation of Anti-plane Problems
5． Plane Problems – Theory and Methods
5.1 Plane Strain and Plane Stress
5.2 Planar Anisotropic Case
5.3 Planar Isotropic Case – Biharmonic Equation
5.4 Solution in Cartesian Coordinates
5.5 Solution in Polar Coordinates
5.6 Kolosov-Muskhelishvilli Method
6． Plane Problems – Applications
6.1 Stress Concentration
6.2 Curved Beams
6.3 Wedges
6.4 Point Force and Couples
6.5 Contact and Indentation
6.6 Dislocations
6.7 Voids and Inclusions
6.8 Mismatch
6.9 Singularities
6.10 Interfaces
7． Variational Formulation of Elasticity
7.1 Basic Concepts of Variation
7.2 Weak Solutions
7.3 Principle of Virtual Work
7.4 Variational Principles
7.5 Numerical Methods Based on Energy Principles
8． Three Dimensional Problems in Elasticity
8.1 Solutions by Displacement Potentials
8.2 Boussinesq Solution
8.3 Singularity Solution
8.4 Eshelby Solution
8.5 Dislocation Loops