ME 625 Mathematical Theory of Elasticity (3 0 3)

This course will introduce basic definitions of strain and stress tensors, derive strain deformation relationships for finite and small deformations, derive compatibility conditions for strain tensors, equilibrium equations, and formulate constitutive properties of orthotropic and isotropic elastic materials; then introduce the Airy stress functions for 2-D plane stress and plane strain problems in Cartesian and cylindrical coordinate systems. Formulations and solutions of classical boundary value problems in 2-D elasticity will also be discussed. Application of numerical techniques such as Ritz and finite elements methods to elasticity problems will be examined.