ENGINEERING SCIENCE AND MECHANICS / 205

ESM 603-ADVANCED CONTINUUM MECHANICS. 3 credits
 Prerequisite: ESM 602. A comprehensive, unified treatment of the mathe-
matical theories of solid and fluid mechanics, including gases.
ESM 631-NONLINEAR MECHANICS 1. 2 credits
 Prerequisites: ESM 302, ESM 546, MS 501. Phase plane and singular point
methods, limit cycle of Poincare, stability including the second method of Liapunov.
Topological approaches. Perturbations; asymptotic methods for autonomous and
nonautonomous systems.
ESM 632-NONLINEAR MECHANICS 2. 2 credits
 Prerequisite: ESM 631. Stroboscopic methods, oscillations of nearly linear sys-
tems. Parametric excitation and the interaction of nonlinear oscillations. Relaxation
oscillations.
ESM 633-ELASTIC BEHAVIOR OF MATERIALS 1. 3 credits
 Prerequisite: ESM 303. Analysis of stress and strain in deformable bodies.
Unsymmetric bending of beams, deformation of curved beams. Beams on elastic
foundations. Bending of deep beams.
ESM 634-ELASTIC BEHAVIOR OF MATERIALS 2. 3 credits
 Prerequisites: ESM 303, MS 501. Introductory theory of plates, elementary
theory of shells. Bending of shells of revolution. Generalized energy methods.
Introduction to variational techniques.
ESM 635-ELASTIC BEHAVIOR OF MATERIALS 3. 3 credits
 Prerequisites: ESM 303, MS 501. Stress-strain relations, compatibility laws,
and governing equations for stresses and deformations in two-dimensional elastic
bodies. Stress concentrations, contact stresses.
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 647-INTERMEDIATE VIBRATIONS. 3 credits
 Prerequisite: ESM 546. Instrumentation for vibration analysis. Longitudinal
and torsional vibrations of bars, lateral vibration of bars, membranes and plates.
Torsional vibrations of continuous systems.
ESM 648-ADVANCED VIBRATIONS. 3 credits
 Prerequisite: ESM 647. Generalized coordinates and Lagrange's equations. Ap-
plication of the Rayleigh-Ritz and various approximate methods. Theory and instru-
mentation for random vibrations.
ESM 649-EXPERIMENTAL STRESS ANALYSIS 1. 3 credits
 Prerequisites: ESM 635, ESM 670. Theory and application of various experi-
mental techniques to problems of elasticity and plasticity.
ESM 650-EXPERIMENTAL STRESS ANALYSIS 2. 3 credits
 Prerequisite: ESM 649. General optical theory of propagation of light in
anisotropic media. Three-dimensional photoelasticity; theory and applications.
ESM 651-EXPERIMENTAL STRESS ANALYSIS 3. 3 credits
 Prerequisite: ESM 650. Moire method, two- and three-dimensional applications.
Mathematical theory of similitude and model analysis.
ESM 652-THEORY OF ELASTICITY 1. 3 credits
 Prerequisites: ESM 601, ESM 635. Linear theory of homogeneous, isotropic,
elastic media. Analysis of stress and strain. Nonlinear considerations.