Course Objectives

The objective of this course is to bring you upto speed in basics of solid mechanics.
The course philosophy is to link the rigor of mathematical modeling to the physics of material behavior. The tentative course plan is as follows:

1. Continuum Representation of Deformation
      a. Rigid Translation and rotations vs. deformation
      b. Deformation Gradients
      c. Small and large deformation representations
         
2. Review of Linear Elasticity:
      a. General Elastic Material Constitutive Equations
      b. Material Symmetry
      c. Anisotropic response of crystalline materials
 3. Basic concepts:
     a. Principal of virtual work       
     b. Reciprocal theory
     c. Elastic Greens Functions
     d. Eigenstrains    

4. Fundamental Solutions to Boundary Value Problems in Elasticity

5. Applications to materials Behavior
    a. Point defects and Eshelby inclusion formulation  
    b. Line Defects and geometric slip
    c. Dislocation stress and strain fields and their energetics
    d. Martensitic Phase transformation and twining

6. Plastic Response of Materials
    a. Yield conditions
    c.  Yield conditions in single crystals
    d. Hardening behavior