Objectives:                  This class will introduce governing equations of linear elasticity and will focus on solutions of boundary value problems in two and three dimensions using several formulations and methods.

Topics:                        -Review of continuum mechanics and field equations (3 weeks): Strain, stress, strain compatibility, stress equilibrium, linear elasticity constitutive law, uniqueness of solution, boundary conditions.

                                    -Two-dimensional elasticity (9 weeks): 

* Plane strain, plane stress, Airy stress function method,

* Problems in Cartesian coordinates: rectangular beams, general solution, 

* Problems in polar coordinates: circular hole problems, Michell general solution, contact problems

* Singular solutions: dislocations, cracks, Kelvin problem.

                                    - Three-dimensional elasticity problem (2 weeks)

  * Principle of virtual work

  * Green function method, 

  * Galerkin vector and applications

Crosslisted with AE 6769.