ENGINEERING SCIENCE AND MECHANICS / 155

occurring in aeronautical, mechanical, and structural engineering. Response of such
systems to impulse, shock, and random excitations, emphasizing computer techniques.
ESM 634-INTRODUCTION TO ELASTICITY. 3 credits
 Prerequisite: ESM 303 or ESM 305. Theory of stress and strain for con-
tinuous media. Stress and strain relations of elasticity. Strain energy density.
Compatibility equations. Elementary three-dimensional problems. Plane elasticity in
Cartesian and polar coordinates. Torsion of noncircular bars.
ESM 635-INTRODUCTION TO PLATES AND SHELLS. 3 credits
 Prerequisite: ESM 303 or ESM 305. Small-deflection theory of plates. Boundary
conditions. Rectangular and circular plates. Energy methods. Large deflections of
plates. Orthogonal curvilinear coordinates. Surfaces of shells. Membrane theory
of shells. Bending of shells of revolution.
ESM 636-NUMERICAL METHODS OF ENGINEERING ANALYSIS 1. 3 credits
 Prerequisite: ISE 351. Variational principles. Minimum potential energy. Re-
laxation, Rayleigh-Ritz and Galerkin methods. Modern computer techniques.
ESM 637-NUMERICAL METHODS OF ENGINEERING ANALYSIS 2. 3 credits
 Prerequisite: ESM 636. Trefftz's procedure. Prager's function space concept.
 Perturbation and collocation procedures. Use of computer.
 ESM 642-MICROMECHANICS 1. 3 credits
 Identical with MTL 642. Prerequisite: MTL 641 or ESM 601. Continuum
 theory of dislocation. Stress fields, displacement fields, and energies of simple
 shapes and finite arrays of dislocations. Continuous distributions of dislocations
 and their relationship to mechanical properties. Relation of the state of dislocation
 to the geometry of deformed lattices.
 ESM 644-ADVANCED DYNAMICS 1. 3 credits
 Prerequisite: ESM 536. Dynamics of particles and rigid bodies applied to
 advanced engineering problems utilizing variational and transformation principles.
 ESM 645-ADVANCED DYNAMICS 2. 3 credits
 Prerequisite: ESM 644. Theory and application of Lagrangian equations to
 engineering problems. Hamilton-Jacobi theory and its applications.
 ESM 646-STABILITY OF DYNAMICAL SYSTEMS. 3 credits
 Prerequisite: ESM 520 or ESM 536. Basic concepts of stability, stability and
 asymptotic behavior of motion. Forced oscillations of systems with nonlinear
 characteristics. Floquet theory, Mathieu and Hill equations, Liapunov's direct method,
 criterion of Routh-Hurwitz, Popov and others.
 ESM 650-ADVANCED EXPERIMENTAL STRESS ANALYSIS 1. 3 credits
 Prerequisite: ESM 549. General optical theory of propagation of light in
 anisotropic media. Three-dimensional photoelasticity; theory and applications.
 ESM 651-ADVANCED EXPERIMENTAL STRESS ANALYSIS 2. 3 credits
 Prerequisite: ESM 650. Moir6 method, two- and three-dimensional applications.
 Mathematical theory of similitude and model analysis.
 ESM 652-THEORY OF ELASTICITY 1. 3 credits
 Prerequisite: ESM 601. Linear theory of homogeneous, isotropic, elastic media.
 Analysis of stress and strain. Nonlinear considerations.
 ESM 653-THEORY OF ELASTICITY 2. 3 credits
 Prerequisite: ESM 652. Tensor development of stress-strain laws and basic
 equations of elasticity. Two-dimensional problems. Energy and variational methods.
 ESM 654-THEORY OF ELASTICITY 3. 3 credits
 Prerequisite: ESM 653. Two-dimensional problems and their solutions by com-