Introduction to the theory and applications of elastic solids. Review strain, stress, and stress-strain law. Several of the following topics: Anisotropic material behavior. Piezoelectric materials. Effective properties of composites. Structural mechanics of beams and plates. Energy methods for structures. Two-dimensional problems. Stress concentration at cavities, concentrated loads, cracks, and dislocations. Variational methods and their applications introduction to the finite element method. Introduction to wave propagation
Doctor of Philosophy (PhD) in Mechanical Engineering
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| content serial | Description |
|---|
| 1 | Scope, Elasticity ,Theory of elasticity |
| 2 | One-, Two-, and Three-Dimensional Problems of Elasticity |
| 3 | Stress ,Uniform State of Stress |
| 4 | The Dyadic Circle |
| 5 | Uniform Three-Dimensional State of Stress |
| 6 | Principal Stresses and Lamé`s Stress Ellipsoid STRAIN |
| 7 | Hooke`s Law, The Basic Equation of Elasticity |
| 8 | Determination of Strain Tensor from Measured Strains |
| 9 | The Basic Differential Equation of Elasticity and the Principle of Superposition |
| 10 | Cylindrical Coordinates |
| 11 | Thermal stresses |
| 12 | Piezoelectric materials |
| 13 | Effective properties of composites. Structural mechanics of beams and plates |
| 14 | Energy methods for structures |
| 15 | Concentrated loads, cracks, and dislocations |
| 16 | Final Examination |
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