ME 620Mechanics of Continua

Mathematical preliminaries; co-ordinate transformations, introduction to tensors, tensor fields and transformations, integral theorems, analysis of deformation; deformation tensors and rates of deformation tensors and their mechanical significance, convecting and rotating axes. Analysis of stress; definition of stresses and their physical significance, rates of stresses, objective stress rates. Constitutive equations for elasticity and plasticity (Prandtl-Reuss). Hardening laws and material rate sensitivity. Anisotrophy.