16:654:543(S) Continuum Mechanics (3) Algebraic and geometric methods in continuum physics; kine- matical concepts, balance of momentum; introduction to the general theory of constitutive relations, material symmetry, and frame-indifference. Examples of nonlinear theories of material behavior (e.g., finite elasticity, non-Newtonian fluids, materials with memory). Coleman. Prerequisite: 16:650:554 or permission of instructor. |
16:654:545(S) Continuum Thermodynamics (3) Theory of thermodynamical restrictions on the constitutive relations of viscous materials, materials with memory, and materials with internal state variables. Energy criteria for stability; thermal influences on wave propagation; thermodynamical methods in the theory of the field equations of mechanics. Coleman. Prerequisite: 16:654:543 or permission of instructor. |
16:654:583Advanced Theory of Elasticity (3) Advanced topics in the linear theory of elasticity and an introduction to finite elasticity. Uniqueness and stability theorems; variational principles; theories of rods, plates, and shells. Prerequisites: Elasticity, e.g., 16:650:604, and continuum mechanics, e.g., 16:654:543. |
16:654:601,602Selected Topics in Continuum Mechanics (3,3) Topics of current interest in such areas as constitutive theory, finite elasticity, viscoelasticity, theory of liquid crystals. Prerequisite: Permission of instructor. |
16:654:603,604Selected Topics in Computational Mechanics (3,3) Topics of current interest in the theory and application of numerical methods to the solution of problems in such subjects as elasticity, the mechanics of rods and shells, plasticity, the theory of materials with memory, and the theory of liquid crystal phases. Prerequisite: Permission of instructor. |
16:654:605,606Selected Topics in Phase Transformation Theory (3,3) Topics of current interest in such subjects as heterogeneous equilibrium, the dynamics of phase transitions, spinodal decomposition, and interface motion. Prerequisite: Permission of instructor. |
16:654:611,612Seminar in Mechanics (1,1) Faculty, students, and invited speakers participate in presentations of contemporary topics in mechanics and related branches of mathematics and numerical analysis. |
16:654:701,702Research in Mechanics (BA,BA) |
