156 / FIELDS OF INSTRUCTION


 plex variable methods. Three-dimensional problems including torsion, bending,
 stress concentration, thermal stress, and stress-wave propagation.
 ESM 655-INTRODUCTION TO THEORY OF THERMAL STRESSES. 3 credits
 Prerequisite: ESM 534. Theory of thermal distortion and induced thermal
 stresses. Strain energy principles. Two- and three-dimensional problems. Creep.
 Thermal instability.
 ESM 656-THEORY OF THERMAL STRESSES. 3 credits
 Prerequisites: ESM 654, ESM 655. Uncoupled and coupled thermoelastic
 theory. Formulations of thermoelastic problems. Thermal stresses in structural ele-
 ments. Thermoelastic stability. Analysis of thermal stresses in inelastic systems.
 New trends of analysis.
 ESM 660-PROPERTIES OF MATERIALS. 3 credits
 Prerequisite: ESM 533. Mechanical and thermodynamic analysis of the proper-
 ties of materials. Creep, fatigue, stress relaxation characteristics; thermal cycling
 response; mechanical properties at elevated temperatures.
 ESM 667-THEORY OF ELASTIC STABILITY. 4 credits
 Prerequisite: ESM 635 or ESM 674. Stability criteria. Elastic stability of: bars;
 frames; plates; cylindrical, conical, spherical, and shallow shells. Postbuckling be-
 havior of plates. Plates and shells under dynamic loading.
 ESM 670-INTRODUCTION TO INELASTIC BEHAVIOR OF MATERIALS. 3 credits
 Prerequisites: ESM 303 or ESM 305; MS 501. Fundamental inelastic theory in-
 cluding plasticity and viscoelasticity. Applications to beams, bars, rings, and plates.
 Dynamic inelastic effects. Problems in creep and stress relaxation.
 ESM 671-THEORY OF THE INELASTIC CONTINUUM. 3 credits
 Prerequisites: ESM 601, ESM 670. Stress and strain in inelastic media. Flow,
 deformation, and incremental theories. Ideally plastic media.
 ESM 673-THEORY OF PLATES. 3 credits
 Prerequisite: ESM 601. Fundamental equations for the bending and stretching
 of thin plates with small deformations. Large deformations of plates with non-
 linear considerations. Energy methods applied to plate problems. Thermal stresses
 in plates.
 ESM 674-THEORY OF SHELLS. 3 credits
 Prerequisite: ESM 673. General theory of deformation of thin shells. Static
 analysis of shells, shells of revolution, dynamics of shells.
 ESM 675-METHODS OF ANALYSIS FOR PLATES AND SHELLS. 3 credits
 Prerequisite: ESM 674. Application of various approximate shell theories to
engineering problems and the methods of solution. Numerical analysis of shells.
ESM 676-INERTIAL GUIDANCE AND CONTROL. 3 credits
 Identical with EE 676. Prerequisite: EE 670. Modern navigational and vehicle
guidance and control techniques based on use of inertial reference.
ESM 677-MATHEMATICAL THEORY OF CONTROL SYSTEMS 1. 3 credits
 Prerequisite: EGC 630. Functional analysis of structure of linear dynamical
systems. Discrete and continuous, lumped and distributed parameter systems. Appli-
cation of the theory of minimum-normed operators to optimal-control-system
problems. Projection theorems with applications in optimal control and estimation.
ESM 679-NONLINEAR CONTROL SYSTEMS. 3 credits
 Identical with EE 679. Prerequisite: EE 570. Stability of nonlinear systems
using Liapunov's second method, the Popov and other frequency domain criteria.
ESM 682-THEORY OF VISCOELASTICITY. 3 credits
 Prerequisites: ESM 601, ESM 670. Theories of solid and fluid materials which