ME

Solutions of ordinary differential equations, series solutions, special functions, boundary-value problems, partial differential equations, vector calculus, calculus of variations, and engineering applications. Undergraduate students must obtain permission of the department chair.

Tensor algebra and calculus; Lagrangian and Eulerian Kinematics of Deformation; Cauchy and Piola-Kirchhoff stresses; general principles including conservation of mass, conservation of linear and angular momentum and energy; constitutive theory, ideal fluids, Newtonian and non-Newtonian fluids, finite elasticity, and linear elasticity.

Introductions to Financial Engineering and big data programing skills. Integrating and applying methods from engineering, financial theory, computer science, statistics and applied mathematics. Topics: Corporate Finance, Financial Statements, Discounted Cash Flow, NPV, Stocks, Bonds, REITs, CAPM, Business Cases, R and basic programing strategies.

Numerical methods for root finding, curve fitting, integration, differential equation solving, coupled systems of equations, and optimization; algorithm choice for stability and computational efficiency.

Discretization, boundary conditions, solution methods, heat transfer, flow with known pressure field, calculation of pressure field, applications program, special topics. Undergraduate students must obtain permission of the department chair.

Introduction to the finite element method with a focus on stress analysis. Boundary value problems; weighted residuals; variational methods; finite element formulation and solution; hands-on experience using programs for solution of problems.

Modeling of dynamic systems that feature interactions between mechanical, electrical, magnetic, fluid, or other physical domains; unified analysis based on network theory and energy balance principles; derivation and solution of linear and nonlinear state equations; computer simulation of system response.

Aerospace vehicle configurations, free body diagrams and load paths, metal and composite materials, closed form analysis methods for statically indeterminant (redundant) structures, compression structures analysis methods, shear panel analysis methods, joints and fittings, design for fatigue and damage tolerance.

An advanced treatment of engineering thermodynamics involving reversible and irreversible macroscopic processes with emphasis on fundamentals and applications of the first and second laws, and the thermodynamics of equilibrium states of substances. Seniors must have a minimum GPA of 3.0

Understanding the thermodynamics of production and utilization methods of biologically and chemically based alternative fuels. Topics include ethanol, methanol, butanol, biomass, biodiesel, biogas, hydrogen, Fischer-Tropsch fuels, shale oil, and sands.

Application of thermodynamic principles to biomass, alternative fuels, wind, hydro, tidal, solar thermal, solar photovoltaic, nuclear, and geothermal energy sources.

This course covers analysis and design issues associated with heating, ventilating, and air conditioning (HVAC) systems. The topics covered include fundamentals, building heating and cooling loads, equipment, design and control, special applications, and the state-of-the-art.

Basic principles of solar energy and Thermal Energy Storage (TES), sensible TES, latent TES, thermochemical TES, cold TES, TES and enviornmental impact, TES and energy savings, Energy and Exergy analysis of TES, case studies.

Fundamentals of solar, wind, nuclear, and hydro/geothermal energy generation; energy storage; economics and financing of sustainable energy.

Particle dynamics, system of particles, impulse and momentum, energy concepts, Lagrange's equations, kinematics of rigid body motion, dynamics of a rigid body. Approval of instructor. Prerequisite may be waived with permission of the chair. Undergraduate students must obtain permission of the department chair.

Coordinate systems and kinematics of rotor motion, critical speeds and unbalance excitation, effect of asymmetry in rotor and stator, gyroscopic effect, stability and energy concepts, hydrodynamic bearings, finite element modeling, nonlinear phenomena in machinery. Undergraduate students must obtain permission of the department chair.

Complex Mechanical Systems Motion simulation: Modeling, analysis, and control system for multibody mechanical systems including robots, automobiles, and various forms of mechanisms.

Study of two-body and restricted three-body problems including orbital motion, orbit determination, and Langrange points, topics related to space craft dynamics and control including torque-free motion, attitude control, control moment gyros, thruster management

Basic principles of fluid mechanics, heat transfer and thermodynamics; internal spacings for natural and forced convection; tree networks for fluid flow; multiscale configuations for heat transfer; multi-objective configuations; vascularized materials: mechanical and flow structures; electrokinetic transfer.

Atomic arrangements in crystalline solids, imperfections in crystalline solids, the relationship between nano-/micro-structure and materials properties, the synthesis and behavior of nanomaterials, and the characterization at the nano-/micro-scales; demonstration labs on materials behavior at the nano-/micro-scale using X-ray diffraction, atomic force microscope, bubble raft, and nanoindenter.

Mechanisms of linear and nonlinear elasticity, plasticity, viscoelastic-plasticity, creep, fatigue and fracture of materials. Atomistic and molecular fundamentals of mechanical behavior of crystalline and amorphous metallic materials, ceramics, and polymeric materials.

Advanced polymer processing-structure-property relationship. Polymer chain structures, polymer crystaline structures, glass transition, viscoelasticity, mechanical properties, electrical properties, polymer extrusion, and polymer injection as well as polymer composite processing.

Additive manufacturing processes and workflow. Relevant standards. Bioprinting. Design for additive manufacturing. Software tools. Materials issues. Practical fused filament fabrication techniques. Stress and strain calculations.

Production line analysis, line balancing, group technology, MRP, numerical control, robotics, automated inspection and material handling.

Principles, types and features of NC systems; NC programming; CNC and DNC; principles and configurations of industrial robots; robot programming; end-effectors and sensors for robots; manufacturing applications of robots; justification of NC and robot systems.

Static and dynamic production planning models, operations scheduling, inventory control, forecasting, queuing theory. Undergraduate students must obtain permission of the department chair.

Particulate, filamentary, short-fiber, and laminated composites; elastic, and thermal structure/property relationships; stress analysis and design of material systems; static and fatigue failure; destructive and NDE test techniques. Undergraduate students must obtain permission of the department chair.

Orthotropic stress-strain relations, hygrothermal effects, laminate analysis, manufacturing residual stresses, stress analysis, finite element analysis, composite structure failure, designing, joining, and repair. Prerequisites: Matrix algebra and undergraduate solid mechanics. Undergraduate students must obtain permission of the department chair.

Mechanical properties and structure-property relationships of bone; analytical and computational models of mechanical behavior of bone including fracture mechanics, damage, and failure theories; composite models of bone; applications of bone mechanics. Restricted to ME Senior with 3.0 GPA or higher.

Mechanical properties and structure/function relationships of biological soft tissues, including: connective tissues, muscle brain tissue, vasculature, and the heart. Numerical and computational modeling of mechanics of these tissues under physiological and non-physiological loading conditions. Analysis of novel engineered tissues.

Fundamentals of thermal design issues associated with electronic equipment; including free and forced convection, liquid immersion, heat pipes, thermoelectrics, reliability, cold plates and numerical solution methods.

This course provides an introduction to the modeling and interpretation of transport in living tissue and cells. Topics include momentum, heat and mass transfer in arteries, water and solute exchange in the microcirculation, mass transfer across cell membrane, renal physiology and gas exchange in the lung. Prerequisite: Undergraduate fluid mechanics or transport courses, or instructor's consent.

Determining technical requirements for engineering systems; Planning technical product design and requirements; Analyzing functionality, interoperability, and sustainability; Integrating disparate engineering components; Testing and evaluation of engineering systems to evaluate conformance with requirements; Organizational structure for execution of complex engineering programs.

Tensor calculus with applications to dynamics and elasticity, Calculus of Variations, Complex analysis, Conformal mapping, Perturbation theory, Asymptotic expansions.

Advanced and current topics in Mechanical Engineering.

Introductions to advance investment products (derivatives) and strategies. Develop more advanced big data programming skills in R for developing and validating technical tools in finance. Topics: Derivatives, Arbitrage, Programing strategies for investment strategies/big data applications, Value at risk, Mean semi-variance, and Stochastic Dominance.

Foundations of computational fluid mechanics and heat transfer; classification and solutions of model equations; application of numerical methods to the governing equations of fluid mechanics and heat transfer.

Nonlinear applications of the finite element method. Emphasis on formulation, solution algorithms, and convergence. Hands-on experience using programs for solution of problems.

Fundamental theory of steady and unsteady conduction with applications. Fundamental theory of diffuse radiation heat transfer with applications.

Fundamentals of fluid mechanics, conservation of mass, momentum, and energy; incompressible inviscid and viscous flows; Navier-Stokes equations, laminar and turbulent boundary layers, high speed flows.

A techanical introduction to selected topics within the broad subject of statistical thermodynamics, including the molecular interpretation of thermodynamic equilibrium, development of the partition function, introduction to quantum mechanics and molecular partition functions. The formulation of statistical thermodynamics and applications to ideal gases, solids, liquid, and related transport properties.

Fundamentals of convection; conservation of mass, momentum and energy in integral and differential forms; laminar and turbulent, forced, and natural convection in internal and external flows; introduction to mass transfer. Prerequisite or Corequisite ME 7000.

Heat transfer mechanisms in structures: conduction, convection and radiation. Fundamentals of thermoelasticity for isotropic and anisotropic materials. Thermal stresses in one-dimensional members and plane thermoelastic problems. Thermal stresses in plate, spherical and cylindrical structures. Thermally induced instability and thermally induced vibrations in engineering structures.

Elements of boiling heat transfer; pool boiling; bubble dynamics; convective boiling; boiling of mixtures; micro-channels boiling; condensation heat transfer.

Stress analysis fundamentals and solution methods. Strain, stress, elastic constitutive relations, equilibrium, compatibility, boundary value problems, uniqueness, two-dimensional and axisymmetric problems, flexure, torsion; energy methods, applications to structures, pressure vessels, rotating machinery. Approval of instructor.

Forward and inverse kinematics of non-redundant and redundant robotic arms; kinematics and dynamics of wheeled robots; path planning and control of mobile robots; alternative locomotion mechanisms. Approval of instructor.

Linearization and stability, multi-degree-of-freedom systems, eigenvalue problem, forced response, continuous systems, discretization techniques, finite element method for vibration analysis.

Kinetic theory of ideal gases; introduction to statistical thermodynamics; phonon, electron, and photon transport in solids.

Analysis of stress field near a crack tip, concepts of stress intensity and strain energy release rate, fracture modes, brittle and ductile fractures, fracture toughness test, fracture mechanics design, fatigue and fatigue crack growth. Approval of instructor.

Mechanics of imperfections in crystals (point defects and dislocations), diffusion theory, time dependent plasticity (creep and viscoelasticplasticity), size-dependence of mechanical behavior, as well as mechanics of thin films/coatings, and mechanics of nanomaterials (nucleation and growth). Demonstration labs on mechanical behavior at the nano-/micro-scale using atomic force microscope and nanoindenter.

Individual supervised study on special topics in Mechanical Engineering. May include some research related to the topics. Approval of chair and faculty advisor.

Supervised participation in thesis research, registration to be approved by department chairperson and thesis advisor.

Second course of supervised participation in thesis research, registration to be approved by department chair and thesis advisor.

Provides work experience for a graduate student who has been offered an opportunity to work in the mechanical engineering field in industry. Required for curricular practical training.

Continuation of Mechanical Engineering Graduate Practicum. Required for extension of Curricular Practical Training (CPT).

The graduate seminar aims to immerse ME PhD students in cutting-edge research by attending ME department seminars given by distinguished speakers. The course will foster critical thinking, analytical skills, and the ability to learn from ongoing progress in the field.