Graduate Doctor of Philosophy (PhD) Courses
ME 3003: THEORY OF CONTINUOUS MEDIA (3 credits)
Kinematics of deformation, compatibility, material rates and relative
deformation; analysis of stress; balance equations; constitutive
equations for simple materials, isotropy group elastic solids, and
viscous fluids. Prerequisites: ME 2001, ME 2003, ME 2004 and 2074.
ME 3004: ADVANCED ELASTICITY (3 credits)
Advanced topics in linearized elasticity including solutions of
fundamental problems in three-dimensions, complex variable methods,
and elastodynamics. Introduction to non-linear elasticity including
finite deformations and constitutive theory. Prerequisites: ME 2001,
ME 2004.
ME 3006: INELASTICITY (3 credits)
Plasticity including physical and experimental foundations; notion
of plastic strain; yielding and yield surfaces; loading and unloading;
flow rules; perfectly plastic hardening and softening behavior;
plane strain rigid-perfectly plastic slip-line theory. Viscoelasticity
including methods of specifying viscoelastic properties of materials;
formulation and some basic solutions in viscoelastic stress analysis;
experimental methods. Prerequisites: ME 2001, ME 2003, ME 2004 and ME 3003.
ME 3007: ENERGETICS (3
credits)
The objectives of this
course are to understand and apply the theory of Thermodynamics
and transport properties, to distinguish the thermodynamics of properties
from the thermodynamics of systems, to acquire the capacity to calculate
properties from a minimal set of experimental data, and to gain
the abilty to estimate properties based on chemical behavior. Topics
include derivation of the Gibbs Equations and Maxwell relations,
advanced equations of state, molecular structure and fugacity, mixing
rules, and vapor-liquid equilibrium calculations. Prerequisite: ME 2001, ME 2002.
ME 3021: MECHANICAL VIBRATIONS
2 (3 credits)
Advanced analysis of discrete and continuous system vibrations;
variational characterizations of eigenvalues, elements of linear
operator theory, approximate methods of solution, and finite element
techniques in vibrations. Prerequisite: ME 2020.
ME 3023: COMPOSITES (3 credits)
Anisotropic linear elasticity, laminates; basic micromechanics of
particulate and fiber reinforced materials and polycrystalline aggregates;
the inclusion problem; Hasin-Shtrikman bounds and estimates of overall
module; strength; microcracking and damage. Prerequisites: ME 2001,
ME 2003, and ME 2004.
ME 3036: ADVANCED FRACTURE MECHANICS (3 credits)
Asymptotic crack tip fields in linear elastic fracture mechanics
leading to the stress intensity factor, energy release rate, and
crack tip opening displacement characterizations; elastic-plastic
fracture mechanics in both small-scale yielding and large-scale
yielding characterized by path independent integrals; micromechanics
of fracture; fracture along bimaterial interfaces. Prerequisites:
ME 2001, ME 2004.
ME 3047 ADVANCED FINITE
ELEMENT ANALYSIS (3 credits)
Stability and accuracy analysis of time integration methods for
first- and second-order finite element systems; theory of beam and
plate elements; elastic-plastic finite element analysis. Prerequisite:
ME 2004, ME 2047.
ME 3052: CONDUCTION HEAT TRANSFER (3 credits)
Study of conduction in continuous media by analytical and numerical
methods. Analytical methods include series solution, superposition,
Duhamel's theorem, and Laplace transforms. Numerical methods include
finite differences, finite elements, and response factors. Prerequisites:
ME 2001, ME 2060.
ME 3054: CONVECTION HEAT TRANSFER (3 credits)
Derivation of general governing equations using tensor notation;
heat transfer in laminar and turbulent flows; incompressible and
compressible thermal boundary layers; advanced solution methods
for convective heat transfer. Prerequisites: ME 2074.
ME 3055: MULTIPHASE FLOW (3 credits)
Study of the fluid mechanics and heat transfer processes in multiphase
systems; steady state and transient models; boiling regimes; and
a variety of correlation relations for void, critical phenomena,
and flow regimes. Prerequisites: ME 2053, ME 2060, and ME 2074.
ME 3075: HYDRODYNAMIC STABILITY (3 credits)
Global stability and uniqueness, Stuart Landau theory, introduction
to bifurcation theory, thermal instability, inertial instability,
stability of parallel shear flow. Prerequisite: ME 2001, ME 2074.
ME 3078: VISCOUS FLUIDS (3 credits)
Properties and exact solutions of the Navier-Stokes equation; dynamics
similarity, limiting values of the Reynolds number, regular and
singular perturbations, Stokes and Oseen flow and boundary layer
theory; stability of laminar flow. Prerequisite: ME 2001, ME 2003, and ME 2074.
ME 3079: TURBULENCE (3 credits)
Definitions and equations of turbulent flow, correlations, scales
of turbulence; differential equations, spectrum and decay of isotropic
turbulence; non-isotropic turbulence, mathematical models, and transport
processes. Prerequisite: ME 2001, ME 2074.
ME 3081: NON-NEWTONIAN FLUIDS (3 credits)
Kinetics of viscoelastic fluids, viscometric flows, motions with
constant stretch history. Simple fluids, constitutive models of
differential type and of integral type. Stability and uniqueness.
Prerequisite: ME 2001, ME 2003, and ME 2074.
ME 3090: SPECIAL TOPICS IN MECHANICAL ENGINEERING (3 credits)
Special topics of current interest to students and faculty presented by a member of the faculty. By special request only.
ME 3095: GRADUATE PROJECTS (3 credits)
A special problems or reading course of individual study guided by the student's major advisor. Topics selected from any phase of mechanical engineering not covered in the regular PhD-level courses.
ME 3997: PHD RESEARCH
(var. credits)
Research methods and procedures. Students are assigned a problem and are required to prepare a plan of attack including a literature survey for a research problem that can meet the dissertation requirement.
ME 3999: PHD DISSERTATION (var. credits)
