MCE 671 Theory of Elasticity II
   Spring 2007
   Professor M.H. Sadd, 208 Wales, X5548, sadd@egr.uri.edu
   Prerequisite: MCE 571 or Equivalent

Text  Elasticity: Theory, Applications & Numerics, by M. H. Sadd, Elsevier, 2005.

Course Objective
As a continuation of the first course in elasticity, the present course will cover more advanced topics in  two general areas.  The first area will will include more sophisticated and powerful methods of solution including complex variable theory and potential and stress function techniques.  The second area will investigate applications into more general problems such as anisotropic, inhomogeneous and thermoelastic materials, three-dimensional problems and several types of micromechanical models.  Complex variable methods will be introduced for solution to the plane problem and this method will also be used for anisotropic and thermal problems.  Coverage of anisotropic elasticity will include fundamental formulations for various material symmetries and solution strategies for two-dimensional problems.  Applications to stress concentration and fracture mechanics for isotropic, anisotropic and thermo-elastic materials will be made.  Three dimensional solutions will be developed using displacement potentials.  Nonhomogeneous formulations and solutions will be given for several different problem types.  A variety of elasticity models will be developed for applications in micromechanical material behavior. Although a brief review will be given, students are expected to have a background in the basic elasticity field equations, standard problem formulations, boundary conditions and common two-dimensional solutions.

Course Outline
     1. Review of Elasticity Theory
    2. Complex Variable Methods for Two-Dimensional Problems
    3. Anisotropic Elasticity
    4. Thermoelasticity
    5. General Displacement Potentials and Stress Functions (Three-Dimensional Problems)
    6. Nonhomogeneous Elasticity
    7. Elasticity Micromechanics Modeling
            - Green's Functions
            - Singular Stress States
            - Dislocations
            - Elasiticity of Materials with Distributed Cracks and Voids
            - Micropolar Elasticity
   
Grading Procedure
        Homework - 50%
        Mid-Term Exam - 20%
        Final Exam - 30%

Downloadable MATLAB Files Textbook Errata ( Word Format)

Any student with a documented disability is welcomed to contact me and request accommodations. More information can be found at the Disability Services Student Office at 874-2098  (www.uri.edu/disability_services)