Mechanics of Solids and Structures: Theory and Applications I - 535.607

This course provides an introduction to the mathematical and theoretical foundations of the mechanics of solids and structures. We will begin with the mathematical preliminaries used in continuum mechanics: vector and tensor calculus, then introduce 3D kinematics and strain measures, descriptions of stress in a 3D body, equilibrium, and constitutive rules. These concepts will be applied to develop the constitutive equations for solids, methods for solving boundary values problems that occur in engineering structures, energy methods and foundations of large deformation.