### Civil Engineering

**CE 57000** *Advanced Structural Mechanics*

Cr. 3

P: CE 27000 or CE 27300

Studies of stress and strain, failure theories, and yield criteria; flexure and torsion theories for solid- and thin-walled members; and energy methods.

**CE 5zz00** *Introduction to Fracture Mechanics *

Cr. 3

P: At least one course in advanced mechanics of materials, advanced structural mechanics, continuum mechanics, elasticity, etc.

This is a graduate course in fracture mechanics for those students who are interested in learning more about the concepts of material deformation and failure in the context of solid mechanics when cracks are present. The class will be introductory in nature as we will study the fundamental concepts of solid mechanics and linear elastic fracture mechanics. In addition, we will briefly study the nonlinear behavior in fracture mechanics.

### Engineering

**ENGR 58000** *Engineering Optimization*

Cr. 1

P: Graduate standing in either an engineering or science degree program

Concentrates on recognizing and solving convex optimization problems that arise in engineering. Convex sets, functions, and optimization problems. Basics of convex analysis. Least-squares, linear and quadratic programs, semidefinite programming, minmax, extremal volume, and other problems. Optimality conditions, duality theory, theorems of alternative, and applications. Interior-point methods. Applications to signal processing, control, digital and analog circuit design, computational geometry, statistics, finance, and engineering.

**ENGR 59500** *Selected Topics in Engineering*

Cr. 1-3

P:

This course number serves as a means to offer one-time, interdisciplinary specialty topics in engineering such as engineering optimization, design innovation, engineering management, and infrared radiometry (an interdisciplinary topic that is relevant to a local employer). It will also be used as a vehicle for the Engineering Department to develop new interdisciplinary engineering curriculum offerings.

### Mechanical Engineering

**ME 50500** *Intermediate Heat Transfer*

Cr. 3

P: ME 315

Heat and mass transfer by diffusion in one-dimensional, two-dimensional, transient, periodic, and phase change systems. Convective heat transfer for external and internal flows. Similarity and integral solution methods. Heat, mass, and momentum analogies. Turbulence. Buoyancy driven flows. Convection with phase change. Radiation exchange between surfaces and radiation transfer in absorbing-emitting media. Multimode heat transfer problems.

**ME 50900** *Intermediate Fluid Mechanics*

Cr. 3

P: A first course in fluid mechanics or aerodynamics.

Fluid properties. Basic laws for a control volume. Kinematics of fluid flow. Dynamics of frictionless incompressible flow and basic hydrodynamics. Equations of motion for viscous flow, viscous flow applications, boundary layer theory. Wall turbulence, lift and drag of immersed bodies.

**ME 54500** *Finite Element Analysis: Advanced Theory & Applications*

Cr. 3

P: ME480 or graduate standing

Theory of the course covers various algorithms for non-linear and time-depended problems in two and three dimensions. Applications of the course cover the advanced topics with problems chosen from solid mechanics, heat transfer, and fluid dynamics. Commercial FEA packages such as ANSYS and/or Abaqus are applied to solve various engineering problems. Students must possess an appropriate level of mathematics and programming skills to understand, develop and program solvers for finite element models.

**ME 55000** *Advanced Strength of Materials*

Cr. 3

P:ME 272, MA 262

Studies of stresses and strains in three-dimensional problems. Failure theories and yield criteria. Stress function approach to two-dimensional problems. Bending of nonhomogenous asymmetric curved beams. Torsion of bars with noncircular cross sections. Energy methods. Elastic stability. Introduction to plates.

**ME 56200** *Intermediate Dynamics with Applications*

Cr. 3

P:ME 361

Dynamics of multi-degrees-of-freedom mechanical systems. Holonomic and nonholonomic constraints. Lagrange’s equations of motion. Hamilton’s principle for holonomic systems. Kinematics and kinetics of rigid body motion, including momentum and energy methods. Linearized equations of motion. Classification of vibratory systems - gyroscopic, circulatory forces. Stability of linear systems - divergence and flutter. Applications to gyroscopes, satellite dynamics, etc.

**ME 5xx00** *Modeling and Simulation of Energy Systems*

Cr. 3

P: ME 321 and ME 301

Modeling and simulation of energy systems. Students will apply material from thermodynamics,fluid mechanics, and heat transfer to develop computer models of energy systems and thermal-fluid devices, such as power generation systems, IC engines, refrigeration and heat pump systems, pipe networks, heat exchangers, solar collectors, fuel cells, etc. Students will use commercial software packages and develop their own computer codes. A significant portion of this course will be devoted to an individual student project.

**ME 5xy00** *Graduate Project*

Cr. 3

P: Last semester before graduating

Required for non-thesis MSE students with concentration in Mechanical Engineering. Applied research, design of original mechanical system, or problem solving. In general, the project should meet the following criteria: of great interest to the student and advisor, of sufficient scope to meet the requirements of the faculty advisor, feasible in one semester.

**ME 5xz00** *Advanced Vibrations Analysis*

Cr. 3

P: ME 471 or graduate standing

Review of single degree of freedom systems. Analytical dynamics: Virtual work principle, D’Alembert principle, Hamilton’s principle, Lagrange’s equations of motion. Eigenvalue problem, linear transformation, expansion theorem, modal analysis of multiple degree of freedom systems. Vibration of distributed parameter systems; boundary value problem, assumed modes methods, and introduction to finite element method. State space analysis and computational techniques. Emphasis on analytical approaches.

**ME 5zz00** *Introduction to Fracture Mechanics*

Cr. 3

P: At least one course in advanced mechanics of materials, advanced structural mechanics, continuum mechanics, elasticity, etc.

This is a graduate course in fracture mechanics for those students who are interested in learning more about the concepts of material deformation and failure in the context of solid mechanics when cracks are present. The class will be introductory in nature as we will study the fundamental concepts of solid mechanics and linear elastic fracture mechanics. In addition, we will briefly study the nonlinear behavior in fracture mechanics.