54 / FIELDS OF INSTRUCTION


Engineering Science and Engineering Mechanics


EGM 5005-Laser Principles and Applications (3) Prereq: con-
sent of instructor. Operating principles of solid, electric dis-
charge, gas dynamic and chemical lasers. Applications of lasers
of lidar aerodynamic and structural testing and for cutting and
welding of materials.
EGM 5111 L-Experimental Stress Analysis (3) Prereq: EGM 3520.
Introduction to techniques of experimental stress analysis in
static systems. Lecture and laboratory include applications of
electrical resistartce strain gauges, photoelasticity, brittle coat-
ings, moire fringe analysis, and X-ray stress analysis.
EGM 5121 L-Experimental Deduction (4) Prereq: consent of
instructor. Fundamentals of dynamics and fluid mechanics.
Designed to confront the student with the unexpected.
EGM 5421-Modern Techniques of Structural Dynamics (3)
Prereq:EGM 3400or3420;3311,3520, and COP 3212. Modern
methods of elastomechanics and high speed computation. Marix
methods of structural analysis for multi-degree-of-freedom sys-
tems. Modeling of aeronautical, civil, and mechanical structural
engineering systems.
EGM 5430-Intermediate Dynamics (3) Prereq: EGM 3400 or
3420, and EGM 3311. Dynamics of a particle, orbital mechanics,
mechanics in 'non-inertial frames, dynamics, of a system of
particles, rigid body dynamics in plane motion, moments and
products of inertia, conservation laws, Lagrange's equations of
motion.
EGM 5533-Advanced Mechanics of Solids and Structures (3)
Prereq: EGM 3520. Bars, beams, thin-walled structures, and
simple continue in the elastic and inelastic range. Virtual work
approaches, elastic energy principles, plastic limit theorems,
creep deformation procedures, introduction to instability and
fracture mechanics. Design applications.
EGM 5584-Principles of Mechanics in Biomedical Engineering
(3) Prereq: EGN 3353 and EGM 3520. Introduction to the solid
and fluid mechanics of biological systems. Rheological behavior
 of materials subjected to static and dynamic loading. Mechanics
 of the cardiovascular, pulmonary, and renal systems. Mathe-
 matic models and analytical techniques used in the biosciences.
 EGM 5816-Intermediate Fluid Dynamics (4) Prereq: EGN 3353,
 MAP3302. Basic laws of fluid dynamics, introduction to poten-
 tial flow, viscous flow, boundary layer theory, and turbulence.
 EGM 5905-Individual Study (1-6; max: 12 including EGM 6905
 and EAS 6905)
 EGM 6215-Theory of Structural Vibrations (3) Prereq: EGM
 4200. Multiple degree-of-freedom systems, lumped parameter
 procedures; matrix methods; free and forced motion. Normal
 mode analysis for continuous systems. Lagrange equations.
 Numerical methods.
 EGM 6321-Principles of Engineering Analysis I (3) Prereq:EGM
 4313 or MAP 4305. Solution of linear and nonlinear ordinary
 differential equations. Methods of Frobenius, classification of
 singularities. Integral representation of solutions. Treatment of
 the Bessel, Hermite, Legendre, hypergeometric, and Mathieu
 equations. Asymptotic methods including the WBK and saddle
 point techniques. Treatment of nonlinear autonomous equa-
 tions. Phase plane trajectories and limit cycles. Thomas-Fermi,
 Emden, and van der Pol equations.
 EGM 6322-Principles of Engineering Analysis II (3) Prereq: EGM
 4313 or MAP 4341. Partial differential equations of first and
 second order. Hyperbolic, parabolic, and. elliptic equations
 including the wave, diffusion, and Laplace equations. Integral
 and similiarity transforms. Boundary value problems of the
 Dirichlet and Neumann type. Green's functions, conformal
 mappingtechniques, and spherical harmonics. Poison, Helmholtz,
 and Schroedinger equations.
 EGM 6323-Principles of Engineering Analysis III (3) Prereq:
 EGM 4313 or MAP 4341. Integral equations of Volterra and
 Fredholm. Inversion of self-adjoint operators via Green's func-
 tions. Hilbert-Schmidt theory and the bilinear formula. The
 calculus of variations. Geodesics, Euler-Lagrange equation and
 the brachistochrone problem. Variational treatment of Sturm-
 Liouville problems. Fermat's principle.
 EGM 6341-Numerical Methods of Engineering Analysis I (3)
 Prereq: ECM 4313 or equivalent. Finite-difference calculus;
 interpolation and extrapolation; roots of equations; solution of
 algebraic equations; eigenvalue problems; least-squares method;
 quadrature formulas; numerical solution of ordinary differential


equations; methods of weighted residuals. Use of digital com-
puter.
EGM 6342-Numerical Methods of Engineering Analysis II (3)
Prereq: EGM 6341 or consent of instructor. Finite-difference
methods for parabolic, elliptic, and hyperbolic partial differential
equations. Application to heat conduction, solid and fluid me-
chanics problems.
EGM 6351-Finite Element Methods (3) Prereq: consent of
instructor. Displacement method formulation; generalization by
means of variational principles and methods of weighted residu-
als; element shape functions. Application to heat conduction,
solid and fluid mechanics problems. Use of general purpose
computer codes.
EGM 6444-Advanced Dynamics (3) Prereq: EGM 5430. The
principle of least action, conservation laws, integration of the
equations of motion, collision, free and forced linear and noblin-
ear oscillations, rigid body motion, the spinning top, motion in
non-inertial frames, canonical equations.
EGM 6611 -Continuum Mechanics I (3) Prereq: EGM 3520.
Tensors of stress and deformation. Balance and conservation
laws, thermodynamic considerations. Examples of linear consti-
tutive relations. Field equations and boundary conditions of fluid
flow.
EGM 6612-Continuum Mechanics 11 (3) Prereq: EGM 6611.
Polar decomposition. Constitutive theory: frame indifference,
material symmetry, continuum thermodynamics. Topics selected
from wave propagation, mixture theory, director theories, non-
orthogonal coordinates.
EGM 6652-Elasticity (3) Prereq: EGM 6611. Equations of elastic-
ity and strain energy concepts. Uniqueness theorems and solu-
tion of two- and three-dimensional problems for small deforma-
tions. Consideration of multiply connected domains and com-
plex variable methods.
EGM 6671-Plasticity (3) Prereq: EGM 6611. Virtual work,
stability, extremum principles. Applications on the microscale,
 miniscale, and macroscale. Thermodynamics, internal variables,
 damage parameters, time and temperature effects. Fracture
 mechanics. Finite elastoplasticity.
 EGM 6682-Viscoelasticity (3) Prereq: EGM 6611. Theories of
 solid and fluid materials which exhibit history dependence.
 Development from Boltzmann linear viscoelasticity to general
 thermodynamic theories of materials with memory; application
 to initial boundary value problems.
 EGM 6812-Fluid Mechanics 1 (3) Prereq: EGM 6611 orequivalent.
 Equations of fluid flow. Theorems for inviscid flows. Irrotational
 flows of constant density. Waves in incompressible flows. Invis-
 cid compressible flows.
 EGM 6813-Fluid Mechanics II (3) Prereq: EGM 6812 br
 equivalent. Exact and approximate solutions of the Navier-Stokes
 equations for laminar fluid flows. Instability of laminar flows.
 Turbulence and turbulent flows.
 EGM 6905-Individual Study (1-6; max: 12 including EGM 5905
 and EAS 6905
 EGM 6910-Supervised Research (1-5; max: 5) S/U.
 EGM 6934-Special Topics in Engineering Mechanics (1-6; max:
 12)
 EGM 6936-Graduate Seminar (1; max: 6) Discussions and
 presentations in the fields of graduate study and research.
 EGM 6940-Supervised Teaching (1-5; max: 5) S/U option.
 EGM 6971-Research for Master's Thesis (1-15) S/U.
 EGM 6972 -Research for Engineer's Thesis (1-15) S/U.
 EGM 7235-Advanced Vibrations Analysis (3) Prereq: EGM
 6215. Nonlinear vibrations, stability, perturbation methods,
 response of single and multiple degree of freedom systems, and
 continuous systems to random excitations.
 EGM 7819-Computational Fluid Dynamics (3) Prereq: EGM
 6342 and 6813 or equivalent. Finite difference methods for PDE.
 Navier-Stokes equations for incompressible and compressible
 fluids. Boundary fitted coordinate transformation, adaptive grid
 techniques. Numerical methods and computer codes for fluid
 flow problems.
 EGM 7835-Boundary Layer Theory (3) Prereq: EGN 6813.
 Definitive treatment of the Prandtl boundary layer concept for
 laminar and turbulent flows. Integral methods from Karman-
 Pohlhausen through current investigators. Thermal boundary
 layers in forced and natural convection.
 EGM 7845-Turbulent Fluid Flow (3) Prereq: EGM 6813 or
 equivalent. Definition of turbulence, basic equations of motion.
 Instability and transition. Statistical methods, correlation and
 spectral functions. Experimental methods, flow visualization.