Numerical solution of equations; error analysis; finite difference methods; numerical differentiation and integration; series expansions; difference equations; numerical solution of differential equations.

Registration Restrictions: Consent of Instructor

Offered: Resident

Basic concepts in the finite difference and finite element methods; methods for parabolic equations; analysis of stability and convergence.

Registration Restrictions: Consent of Instructor

Offered: Resident

General single-step, multistep, multivalue, and extrapolation methods for systems of nonlinear equations; convergence; error bounds; error estimates; stability; methods for stiff systems; current literature.

Registration Restrictions: Consent of Instructor

Offered: Resident

Introduction to the mathematical theory, formulation, and computer implementation of the finite element method. Application to one-and two-dimensional problems in engineering mechanics.

Registration Restrictions: Consent of Instructor

Offered: Resident

An introduction to programming language (Python, MATLAB, C, C++, Fortran) specification and analysis. Additional topics include control structures, data types, and structures, run-time environments, binding strategies, compilers, and interpreters.

Registration Restrictions: Consent of Instructor

Offered: Resident

Postulational treatment of the physical laws of equilibrium, thermostatics. Equations of state, processes, equilibrium stability, reactive systems, phase transitions.

Registration Restrictions: Consent of Instructor

Offered: Resident

Condensation and boiling, analytical and numerical techniques for conduction and convection, gray-body and spectral-dependent radiation, transient and steady-state thermal modeling.

Registration Restrictions: Consent of Instructor

Offered: Resident

An introduction to the general theory of continuous media and its application to the theories of elasticity and fluid mechanics.

Registration Restrictions: Consent of Instructor

Offered: Resident

Stress, strain, stress-strain relationships, strain energy, failure theories, curved beams, unsymmetrical bending, shear center, torsion of noncircular sections, energy principles, Castigliano's theorem, inelastic behavior.

Registration Restrictions: Consent of Instructor

Offered: Resident

This course covers plasticity, creep, viscoelasticity, and inelastic behavior in relation to microstructure-property relations, constitutive modeling at different length scales, and computational simulations.

Registration Restrictions: Consent of Instructor

Offered: Resident

History of fracture and development of fracture mechanics principles. Linear elastic and elastic-plastic stress analysis of cracked bodies. ASTM standards and applications.

Registration Restrictions: Consent of Instructor

Offered: Resident

Prediction and prevention of fatigue in metallic material.

Registration Restrictions: Consent of Instructor

Offered: Resident

Research-oriented project or an independently completed course of study in a specially designed area as approved and supervised by the instructor. May be repeated for up to 6 credits.

Registration Restrictions: Consent of Instructor

Offered: Resident

Course provides a graduate program orientation and lecture series which includes visiting lecturers.

Registration Restrictions: Consent of Instructor

Offered: Resident

Title to be arranged. This course is to be used on a limited basis to offer developing subject matter areas not covered in existing courses. (Courses limited to two offerings under one title within two academic years).

Registration Restrictions: Consent of Instructor

Offered: Resident

Ph.D. Graduate student teaches an undergraduate engineering course with faculty guidance.

Registration Restrictions: Consent of Instructor

Offered: Resident

Elementary aspects of computational fluid dynamics (CFD); review of numerical analysis and fluid mechanics as pertinent to CFD; numerical solution to selected fluid dynamic problems.

Registration Restrictions: Consent of Instructor

Offered: Resident

The aim of this course is to educate the student about the many facets of jointly flowing immiscible phases, in terms of 1) physics, 2) applications, and 3) simulations. The content will span the four possible combinations of gas-liquid (g-l), liquid-solid (l-s), gas-solid (g-s), and gas-liquid-solid (g-l-s). In the case of solids, the focus is on the behavior of particulate matter as an aggregate and not solid mechanics. For the first three (g-l, l-s, and g-s), course material will cover both volume fraction extrema e.g., nearly all gas g-l and nearly all liquid g-l. Interphase turbulence will be discussed.

Registration Restrictions: Consent of Instructor

Offered: Resident

Provides an overview of non-conventional mechanical approaches in nature and shows how this knowledge can lead to more creativity in mechanical design and to better (simpler, smaller, more robust) solutions than with conventional technology.

Registration Restrictions: Consent of Instructor

Offered: Resident

Introduction to optimality criteria and optimization techniques for solving constrained or unconstrained optimization problems. Sensitivity analysis and approximation. Computer application in optimization. Introduction to MDO.

Registration Restrictions: Consent of Instructor

Offered: Resident

Stress, strain, constitutive relations for anisotropic material, lamina properties, laminate properties, composite beams and plates.

Registration Restrictions: Consent of Instructor

Offered: Resident

The fundamental linkages between processing, structure and properties will be addressed with emphasis on micro- and nano-structural impacts on properties.

Registration Restrictions: Consent of Instructor

Offered: Resident

Characterization of advanced material behaviors for pavement subgrades, bases and surface courses, Stress dependency, viscoelasticity, repeated load moduli, and stabilization are central behaviors of interest.

Registration Restrictions: Consent of Instructor

Offered: Resident

The mechanical and metallurgical fundamentals of metals are discussed. Mechanical fundamentals cover the stress and strain relationships and metallurgical fundamentals cover the microstructure.

Registration Restrictions: Consent of Instructor

Offered: Resident

Survey course of various length scale computational analysis related to materials modeling. Emphasis upon projects and exercises.

Registration Restrictions: Consent of Instructor

Offered: Resident

Dissertation research and proposal development.

Registration Restrictions: Consent of Instructor

Offered: Resident

Dissertation research and proposal development.

Registration Restrictions: Consent of Instructor

Offered: Resident

Dissertation research and proposal development.

Registration Restrictions: Consent of Instructor

Offered: Resident

Students will publicly defend the dissertation research project.

Registration Restrictions: Consent of Instructor

Offered: Resident

Offered: Resident