82 / FIELDS OF INSTRUCTION


EGM 6324-Principles of Engineering Analysis IV (2) Prereq:
EGM 4313 or MAP 4305. Solution of Volterra and Fredholm
integral equations of the first and second kind. Inversion of
self-adjoint operators via Green's function, properties of
symmetric kernels, Hilbert Schmidt theory and the bilinear
formula. Treatment of the singular integral equations of
Abel and Carleman. Iteration and aproximation techniques.
EGM 6341-Numerical Methods of Engineering Analysis I
(3) Prereq: EGM 4313 or equivalent. Finite-difference calcu-
lus; interpolation and extrapolation; roots of equations; solu-
tion of algebraic equations; eigenvalue problems; least-
squares method; quadrature formulas; numerical solution of
ordinary differential equations; methods of weighted re-
siduals. Use of digital computer.
EGM 6342-Numerical Methods of Engineering Analysis II
(3) Prereq: EGM 6341 or consent of instructor. Finite-dif-
ference methods for parabolic, elliptic, and hyperbolic par-
tial differential equations. Application to heat conduction,
solid and fluid mechanics problems.
EGM 6351-Finite Element Methods (3) Prereq: EGM 6341
and 6611, or consent of instructor. Displacement method
formulation; generalization by means of variational prin-
ciples and methods of weighted residuals; element shape
functions. Application to heat conduction, solid and fluid
mechanics problems. Use of general purpose computer
codes.
EGM 6422-Modern Techniques of Structural Dynamics II
(2) Prereq: EGM 5421 and 6215. Modeling of complex struc-
tural systems occurring in aeronautical, mechanical, and
structural engineering. Response of such systems to impulse,
shock and random excitations, emphasizing computer tech-
niques.
EGM 6444-Advanced Dynamics I (3) Prereq: EGM 5430. Dy-
namics of particles and rigid bodies applied to advanced en-
gineering problems utilizing variational and transformation
principles.
EGM 6445-Advanced Dynamics II (3) Prereq: EGM 6444.
Theory and application of Lagrangian equations to engineer-
ing problems. Hamilton-Jacobi theory and its applications.
EGM 6460-Stability of Dynamical Systems (3) Prereq: EGM
4200 or 5430. Basic concepts of stability, stability and
asymptotic behavior of motion. Forced oscillations of sys-
tems with nonlinear characteristics. Floquet theory, Mathieu
and Hill equations. Liapunov's direct method, criteria of
Routh-Hurwitz,. Popov and others.
EGM 6476-Inertial Guidance and Control (3) Prereq: EEL
6614. Modern navigational and vehicle guidance and control
techniques based on use of inertial reference.
EGM 6478-Nonlinear Control Systems (3) Prereq: EEL 5182.
Stability of nonlinear systems using Liapunov's second
method, the Popov and other frequency domain criteria.
EGM 6551-Introduction to Theory of Thermal Stresses (2)
Prereq: EGM 5550. Theory of thermal distortion and induced
thermal stresses. Strain energy principles. Two- and three-
dimensional problems. Creep. Thermal instability.
EGM 6584-Principles of Mechanics in Biomedical Engineer-
ing (3) Rheological behavior of biological materials subject
,to steady-state and dynamic loading. Mathematical models
and analytical techniques used in the biosciences. Ex-
perimental techniques for material property investigation of
representative body tissues.
EGM 6611-Continuum Mechanics I (3) Prereq: EGM 3520.
Analysis of motion and deformation. Conservation laws;
tensor properties of stress and strain. Constitutive theory.
Thermodynamics of continuous media.
EGM 6612-Continuum Mechanics II (3) Prereq: EGM 6611.
Specific constitutive classes of continuous media; elastic sol-
ids, Newtonian and non-Newtonian fluids. Materials which
exhibit plastic and viscoelastic behavior. Formulation of spe-
cific problems.
EGM 6613-Advanced Continuum Mechanics (2) Prereq:
EGM 6612. Comprehensive, unified treatment of mathemat-
ical theories of solid and fluid mechanics, including gases.
EGM 6652-Introduction to Elasticity (3) Prereq: EGM 3520.
Analysis of stress. Analysis of strain. Stress-strain relations of
elasticity. Compatibility equations. Plane elasticity in
Cartesian and polar coordinates. Solution of two-
dimersional problems by means of complex variable meth-
ods.


EGM 6653-Theory of Elasticity (3) Prereq: EGM 6652. Three-
dimensional problems including torsion, bending, stress
concentration. Thermal stress and stress wave propagation.
Energy principles and variational methods.
EGM 6670-Introduction to Inelastic Behavior of Materials
(3) Prereq: EGM 3520. Metal plasticity theory; emphasis on
ideal plasticity with applications; slip-line fields; limit analy-
sis. Linear viscoelasticity; analysis of creep, relaxation and al-
ternating load response; application to initial-boundary val-
ue problems.
EGM 6671-Theory of the Inelastic Continuum (3) Prereq:
EGM 6611, 6670. Constitutive theories of work-hardening
metal plasticityand viscoplasticity; formulation of theories
for analytical and numerical problem solution; selected ap-
plications.
EGM 6682-Theory of Viscoelasticity (2) Prereq: EGM 6611,
6670. Theories of solid and fluid materials which exhibit his-
tory dependence. Development from Boltzmann linear vis-
coelasticity to general thermodynamic theories of materials
with memory.
EGM 6683-Dynamic Plasticity (2) Prereq: EGM 6611, 6670.
Analysis of propagation of impact induced transient loading
and unloading waves of uniaxial stress or strain in inelastic
solids. Rate-dependent and rate-independent constitutive
assumptions. Experimental verifications. Combined stress
waves.
EGM 6684-Special Topics in Dynamic Plasticity (1-3; max:
6) Prereq: EGM 6683.
EGM 6716-Theory of Plates (3) Prereq: EGM 3520. Funda-
mental equations for the bending and stretching of thin
plates. Small deformation. Various loading and boundary
conditions. Large deformation and nonlinear considerations.
Transverse shear effects: Thermal stresses. Energy methods.
Vibration of plates. Anisotropy and plasticity.
EGM 6717-Theory of Shells I (3) Prereq: EGM 6716.
Curvilinear coordinates. Surface of shells. General theory of
thin, elastic shells. Shallow shells. Membrane shells of revo-
lution. Bending of shells. Static and dynamic analysis of lin-
ear equations for elastic shells.
EGM 6718-Theory of Shells II (3) Prereq: EGM 6717. Or-
thotropic and anisotropic shells. Transverse shear and nor-
mal stress effects. Nonlinear geometric theory. Plastic shells.
Interaction with fluids. Variational methods. Finite dif-
ference and finite element methods.
EGM 6736-Theory of Elastic Stability (3) Prereq: EGM 6717.
Stability criteria. Elastic stability of bars, frames, plates; cylin-
drical, conical, spherical and shallow shells. Postbuckling be-
havior of plates. Plates and shells under dynamic loading.
EGM 6811-Fundamentals of Fluid Dynamics (3) Prereq:
EGN 3353 or equivalent. Cauchy's stress principle, condi-
tions for streamline fluid motion. Kinematics. The general
deformation of a fluid, constitutive relationships. Integral
and differential equations of motion. Thermodynamics,
thermal conductivity.
EGM 6812-Inviscid Fluid Flow (3) Prereq: EGM 6811 or
equivalent. Hydrostatics, equilibrium conditions. Potential
flow theory, harmonic functions. Dynamics, the motion of
immersed rigid bodies, hydrodynamic drag and lift. The
momentum transport theorem, gravity waves. Surface ten-
sion, capillary waves. Sound, propagation of sound waves.
EGM 6813-Viscous Fluid Flow (3) Prereq: EGM 6811 or
equivalent. Laminar flow, boundary conditions. Equations of
motion. Creeping flows, the flow around a sphere. The lami-
nar boundary layer, flow separation. Exact solutions of
Navier-Stokes equations. Thermal conduction, similarity in
heat transfer. Heat transfer in boundary layers. Free convec-
tion.
EGM 6835-Boundary Layer Theory (3) Prereq: EGM 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 6845-Turbulent Fluid Flow (3) Prereq: EGM 6811 or
equivalent. Definition of turbulence, basic equations of mo-
tion. Instability and transition. Statistical methods, correla-
tion and spectral functions. Experimental methods, flow vis-
ualization. Isotropic homogeneous turbulence. Shear turbu-
lence, similitude, the turbulent boundary layer, rough tur-
bulent flow. fets and wakes. Heat convection, thermally