Thermoelasticity

1. Introduction.- 2. The Linearized Theory.- 2.1. Basic Equations.- 2.2. The Temperature Field.- 2.3. Stress-Free Temperature Fields.- 2.4. Methods of Solution. Thermoelastic Potential.- 2.5. Boundary Conditions. Uniqueness.- 2.6. Example: Instantaneous Point Source.- 2.7. Axisymmetrical Problems with Shearing Stresses Vanishing in a Plane.- 2.8. Green's Function I.- 2.9. Green's Function II 20 Problems.- 3. Two-Dimensional Problems.- 3.1. Plane Strain.- 3.2. Plane Stress.- 3.3. Method of Solution. Real Function Approach.- 3.4. Method of Solution. Complex Function Approach.- 3.5. Curvilinear Coordinates.- 3.6. Two-Dimensional Stress-Free Temperature Fields.- 3.7. Example: Plate with Circular Hole in Uniform Heat Flow.- 3.8. Example: Point Source in a Semi-Infinite Plate.- Problems.- 4. Thermal Bending and Buckling of Plates.- 4.1. Bending and Stretching.- 4.2. Equilibrium.- 4.3. Differential Equation for the Deflection.- 4.4. Boundary Conditions.- 4.5. Two Simple Cases.- 4.6. Axisymmetric Bending of a Circular Plate.- 4.7. Influence Function Method.- 4.8. Hot Area in an Infinite Plate.- 4.9. Rectangular Plate with Two Parallel Edges Simply Supported.- 4.10. Thermal Buckling.- 4.11. Example: Rectangular Plate.- Problems.- 5. General Thermoelastic Theory.- 5.1. Kinematic Relations.- 5.2. Analysis of Stress.- 5.3. Basic Equations.- 5.4. The Elastic Potential.- 5.5. Inversion of the Stress-Strain Law.- 5.6. Some Simple Cases.- 5.7. Isotropic Incompressible Material.- 5.8. Example: Torsion of an Incompressible Cylinder.- Problems.- 6. Wave Propagation.- 6.1. Jump Conditions.- 6.2. Example: Plane Waves in an Initially Stressed Medium.- 6.3. Example: Pressure Shock on the Surface of a Semi-Infinite Body.- Problems.- 7. Thermoelastic Stability.- 7.1. The Basic Relations.- 7.2. Construction of the Lyapunov Functional.- 7.3. Example: Column Stability.- Problems.