ME725A - Micromechanics
Prerequisites:
3-0-0-9
Course Contents
1. Introduction: Defects in continua, their properties and characterization.
2. Review of linear elastostatics. Defects. Eigen strains. Static Green's functions. Superposition principle.
3. Conservation laws. Nilliether's theorem.
4. Application to linear elastostatics. The EShelby tensor: physical interpretation, invariants, principal values.
5. Linear elasticity with defects. Holes, inclusions and dislocations. Interaction of defects. Equivalent macroscopic properties.
6. Inhomogeneous elastostatics. Anisotropic elastostatics. Equivalent macroscopic properties. Coupled problems: Thermo elasticity.
7. Elasto dynamics of defected solids. Wave motion.
8. Dissipative systems: Visco elasticity. Neutral action method.
9. Conservation principles in bars, shafts, beams and plates.
Topics
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