Undergraduate Level
[530.405] Mechanics of Solids and Structures

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 kinematics and strain measures, descriptions of stress in a body, frame indifference, conservation laws: mass, momentum, energy balance, and entropy. 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 the finite element method.

Graduate Level
[530.606] Mechanics of Solids and Materials

The course is based on the principles of continuum mechanics, and covers the fundamental concepts of elasticity, and fracture as applied to materials. This mathematically rigorous course emphasizes the setup and solution of boundary value problems in mechanics, and attempts to integrate the primary behaviors with deformation and failure mechanisms in materials.

[530.642] Plasticity

The theory of the inelastic behavior of metallic materials. Experimental background and fundamental postulates for the plastic stress-strain relations. Mechanisms of plastic flow; single-crystal and polycrystalline plasticity. Boundary value problems. Variational principles, uniqueness and the upper and lower bound theorems of limit analysis. Slip line theory. Finite strain plasticity and instability.

[530.658] Thermally Activated Processes in Solids

An advanced course on the theoretical treatment and modeling of the mechanisms of deformation in solids at intermediate and high temperatures. Topics include diffusion of point defects; vacancy migration; diffusion of solutes; cooperative and diffusion-less transformations; dislocation obstacle interactions; dislocation climb and cross-slip; friction forces in metals, alloys and covalent crystals.

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