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Twin Cities Courses

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AEROSPACE ENGINEERING AND MECHANICS (AEM)
College of Science and Engineering
Aerospace Engineering & Mechanics
 
AEM 1905 - Freshman Seminar: Aircraft and Spacecraft
(2.0 cr [max 4.0 cr]; Prereq-Fr; OPT No Aud, fall, spring, offered periodically)
Topics related to air and space travel with an emphasis on hands-on projects and activities.



AEM 2011 - Statics
(3.0 cr; Prereq-PHYS 1301W, [&Math 2374 or equiv], CSE; A-F or Aud, fall, spring, summer, every year)
Force/moment vectors, resultants. Principles of statics and free-body diagrams. Applications to simple trusses, frames, and machines. Distributed loads. Internal forces in beams. Properties of areas, second moments. Laws of friction.



AEM 2012 - Dynamics
(3.0 cr; Prereq-2011, [& Math 2373 or equiv], CSE student; A-F or Aud, fall, spring, summer, every year)
Kinematics/kinetics of particles. Newton's laws. Energy/momentum methods. Systems of particles. Kinematics/kinetics of planar motions of rigid bodies. Plane motion of rigid bodies. Mechanical vibrations.



AEM 2021 - Statics and Dynamics
(4.0 cr; Prereq-Phys 1301W, [&Math 2374 or equiv], CSE; A-F or Aud, fall, spring, every year)
Force/moment vectors, resultants. Principles of statics and free-body diagrams. Applications to simple trusses, frames, and machines. Properties of areas, second moments. Internal forces in beams. Laws of friction. Principles of particle dynamics. Mechanical systems and rigid-body dynamics. Kinematics/dynamics of plane systems. Energy/momentum of 2-D bodies/systems.



AEM 2301 - Mechanics of Flight
(3.0 cr; Prereq-PHYS 1301W, [&MATH 2373 or equiv], CSE; A-F or Aud, spring, every year)
Standard atmospheric properties, basic aerodynamics, generation of lift/drag. Airfoils, finite wings. Elements of aircraft performance and atmospheric flight mechanics. Introduction to MatLab and simulations for aircraft design.



AEM 3031 - Deformable Body Mechanics
(3.0 cr; Prereq-[2011 or 2021 or [BMEN 3011, BMEN major]], [Math 2374 or equiv], [&Math 2373 or equiv], CSE; A-F or Aud, fall, spring, summer, every year)
Uniaxial loading/deformation. Stress/strain at point, Mohr's circle. Internal forces in beams. Material behavior, linear elasticity. Torsion of circular shafts. Bending of beams of symmetrical section. Column buckling. Statically indeterminate structures.



AEM 3100 - Software Applications in AEM
(1.0 cr [max 4.0 cr]; Prereq-[CSCI 1113 or equiv], BAEM upper division; S-N only, fall, spring, every year)
Topics covering software applications for problems of interest.



AEM 3101 - Mathematical Modeling and Simulation in Aerospace Engineering
(2.0 cr; Prereq-[MATH 2373 or equiv], AEM major; A-F only, fall, every year)
Mathematical modeling of engineering systems/numerical methods for their solution. Use of MATLAB. Focus on systems found in aerospace engineering/mechanics.



AEM 4000H - Honors Research Seminar
(0.0 cr; Prereq-Honors student, permission of University Honors Program, AEM major; S-N only, fall, spring, every year)
Research seminars in aerospace engineering and mechanics, given by faculty members and visiting scholars.



AEM 4201 - Fluid Mechanics
(4.0 cr; Prereq-2012, [Math 2373 or equiv], [Math 2374 or equiv], [CSE upper div or grad student]; A-F or Aud, fall, every year)
First course in fluid mechanics. Stress/strain rate descriptions, fluid statics. Use of differential and finite control volume analysis with continuity. Momentum/energy equations, Bernoulli/Euler equations, vorticity, potential flow, incompressible viscous flow using Navier-Stokes equations, dimensional analysis, pipe flow, boundary layers, separation, introduction to turbulence.



AEM 4202 - Aerodynamics
(4.0 cr; Prereq-upper div CSE or grad, 4201; A-F or Aud, spring, every year)
Inviscid aerodynamics. Subsonic, transonic, and supersonic airfoil theory; wing theory. Introduction to compressible flow, normal and oblique shock waves, Prandtl-Meyer expansions. Linearized compressible flow. Wing-body combinations. Computational aerodynamics methods.



AEM 4203 - Aerospace Propulsion
(4.0 cr; Prereq-4202, [CSE upper div or grad student]; A-F or Aud, spring, every year)
Basic one-dimensional flows: isentropic, area change, heat addition. Overall performance characteristics of propellers, ramjets, turbojets, turbofans, rockets. Performance analysis of inlets, exhaust nozzles, compressors, burners, and turbines. Rocket flight performance, single-/multi-stage chemical rockets, liquid/solid propellants.



AEM 4295 - Problems in Fluid Mechanics
(1.0 - 3.0 cr [max 6.0 cr]; Prereq-%; fall, spring, summer, every year)
Topics of current interest. Individual projects with consent of faculty sponsor.



AEM 4301 - Orbital Mechanics
(3.0 cr; Prereq-[2012 or equiv], [MATH 2373 or equiv], [CSE upper div or grad student]; A-F only, spring, every year)
The two-body problem. Earth-satellite operations, rocket performance, reentry dynamics, space environments, interplanetary trajectories. Numerical simulations. Design project.



AEM 4303W - Flight Dynamics and Control (WI)
(4.0 cr; Prereq-[2012, 2301, [WRIT 1301 or equiv], [CSE upper div or grad student]] or #; A-F only, spring, every year)
Forces/moments, trim, linearization, transfer functions, dynamic response characteristics for aircraft. Aircraft stability/control derivatives, static longitudinal/lateral stability. Phugoid, short period, spiral, roll subsidence, dutch roll modes. Handling qualities.



AEM 4305 - Spacecraft Attitude Dynamics and Control
(3.0 cr; Prereq-[4301, [3101 or ME 3281 or EE 3015], CSE upper div] or grad student; A-F or Aud, spring, every year)
Kinematics/dynamics for six-degree of freedom rigid body motions. Euler's angles/equations. Torque free motion, spin stabilization, dual-spin spacecraft, nutation damping, gyroscopic attitude control, gravity gradient stabilization. Linear systems analysis, Laplace transforms, transfer functions. Linear control theory. PID controllers.



AEM 4321 - Automatic Control Systems
(3.0 cr; =[EE 4231]; Prereq-[3101 or ME 3281 or EE 3015], [CSE upper div or grad student]; A-F only, fall, every year)
Modeling, characteristics, performance of feedback control systems. Stability, root locus, frequency response methods. Nyquist/Bode diagrams. Lead-lag, PID compensators. Digital implementation, hardware considerations.



AEM 4331 - Aerospace Vehicle Design
(4.0 cr; Prereq-[2301, 4202, AEM sr] or #; A-F only, fall, every year)
Multidisciplinary student teams perform conceptual designs of aerospace vehicles, components, missions, or systems that incorporate realistic constraints/applicable engineering standards. Papers on professional ethics/contemporary aerospace issues. Oral preliminary/critical design reviews.



AEM 4333 - Aerospace Design: Special Projects
(3.0 cr [max 6.0 cr]; Prereq-4331 or #; spring, every year)
Student groups design, build, and test aerospace projects. Projects include designs from 4331 or projects such as microgravity experiments. Students keep design log/notebook, prepare status reports, and give final oral presentation.



AEM 4371 - Helicopter Aerodynamics
(3.0 cr; Prereq-2301, 3101, 4202, [CSE upper div or grad student]; fall, offered periodically)
Review of basic aerodynamics, unique features of helicopters, momentum theory in axial flight/rotor flow states, momentum theory in non-axial flight, blade-element theory, vortex theory, helicopter equations of motion. Design project.



AEM 4391 - Independent Design Project
(3.0 cr; Prereq-4331, %; A-F only, spring, every year)
Independent design project construction and testing under the guidance of a faculty member. Projects may include designs from 4331 and group projects are allowed. Students are responsible for finding a faculty adviser for their project. Final project report (written or oral).



AEM 4495 - Problems in Aerospace Systems
(3.0 cr; Prereq-CSE upper division, %; A-F only, fall, spring, summer, every year)
Topics of interest or individual projects.



AEM 4501 - Aerospace Structures
(3.0 cr; Prereq-CSE upper div or grad, 3031 or equiv; A-F or Aud, spring, every year)
Advanced strength of materials analysis of elastic structures with aerospace applications; failure modes and criteria, buckling, matrix methods for analysis, plane truss design; energy and Castigliano methods for statically determinate and indeterminate structures; torsion and bending of asymmetrical thin-walled sections. Design project.



AEM 4502 - Computational Structural Analysis
(3.0 cr; Prereq-[Grade of at least C in 4501, [CSE upper div or grad student]] or #; fall, odd academic years)
Application of finite element methods to problems in structural analysis. Emphasizes properly posing problems and interpreting calculation results. Use of commercial FEA packages. Introduction to theory of finite elements.



AEM 4511 - Mechanics of Composite Materials
(3.0 cr; Prereq-3031, [CSE upper div or grad student]; spring, every year)
Analysis, design, and applications of laminated and chopped fiber reinforced composites. Micro-/macro-mechanical analysis of elastic constants, failure, and environmental degradation. Design project.



AEM 4581 - Mechanics of Solids
(3.0 cr; Prereq-3031, [Math 2373 or equiv], [Math 2374 or equiv], [CSE upper div or grad student]; fall, even academic years)
Continuum mechanics in one dimension: kinematics; mass, momentum/energy, constitutive theory. Wave propagation, heat conduction. Strings. Euler-Bernoulli theory. 3-D deformations/stress. Topics from fracture mechanics, structural stability, vibrations, thin films, layered media, smart materials, phase transformations, 3-D elastic wave propagation. Elasticity, viscoelasticity, plasticity.



AEM 4595 - Problems in Mechanics and Materials
(1.0 - 3.0 cr [max 6.0 cr]; Prereq-%; fall, spring, summer, every year)
Topics of current interest. Individual projects with consent of faculty sponsor.



AEM 4601 - Instrumentation Laboratory
(3.0 cr; Prereq-CSci 1113, EE 3005, EE 3006, [upper div CSE or grad student]; A-F or Aud, spring, every year)
Introduction to lab instrumentation. Computerized data acquisition. Statistical analysis of data. Time series data, spectral analysis. Transducers for measurement of solid, fluid, and dynamical quantities. Design of experiments.



AEM 4602W - Aeromechanics Laboratory (WI)
(4.0 cr; Prereq-4201, 4501, 4601, [WRIT 1301 or equiv], [CSE upper div or grad]; A-F or Aud, fall, every year)
Experimental methods/design in fluid/solid mechanics. Wind tunnel/water channel experiments with flow visualization, pressure, velocity, force measurements. Measurement of stresses/strains/displacements in solids/ structures: stress concentrations, materials behavior, structural dynamics. Computerized data acquisition/analysis, error analysis, data reduction. Experiment design. Written/oral reports. Lab ethics. Writing intensive.



AEM 4796 - Professional Experience
(3.0 cr; Prereq-CSE upper div, AEM major, %; A-F or Aud, fall, spring, summer, every year)
Work experience with substantive engineering component. Written report.



AEM 4894H - Senior Honors Thesis
(3.0 cr; Prereq-Honors student, permission of University Honors Program, AEM major; A-F only, spring, every year)
Writing thesis under direction of AEM faculty member.



AEM 4896 - International Professional Experience
(3.0 cr; =[01704]; Prereq-CSE upper div, AEM major, %; A-F only, fall, spring, summer, every year)
International work experience with substantive engineering component. Written report.



AEM 5245 - Hypersonic Aerodynamics
(3.0 cr; Prereq-4202, [grad studednt or upper div CSE]; A-F or Aud, spring, offered periodically)
Importance/properties of hypersonic flow. Hypersonic shock and expansion-wave relations. Local surface inclination methods. Approximate/exact methods for hypersonic inviscid flow fields. Viscous flow: boundary layers, aerodynamic heating, hypersonic viscous interactions, computational methods. Hypersonic propulsion and vehicle design.



AEM 5251 - Computational Fluid Mechanics
(3.0 cr; Prereq-[4201 or equiv], [CSci 1113 or equiv], [CSE upper div or grad student]; A-F or Aud, fall, every year)
Introductory concepts in finite difference and finite volume methods as applied to various ordinary/partial differential model equations in fluid mechanics. Fundamentals of spatial discretization and numerical integration. Numerical linear algebra. Introduction to engineering and scientific computing environment. Advanced topics may include finite element methods, spectral methods, grid generation, turbulence modeling.



AEM 5321 - Modern Feedback Control
(3.0 cr; =[01565]; Prereq-4321 or EE 4231 or ME 5281 or equiv; fall, every year)
State space theory for multiple-input-multiple-output aerospace systems. Singular value decomposition technique, applications to performance/robustness. Linear quadratic gaussian and eigenstructure assignment design methods. Topics in H[infinity symbol]. Applications.



AEM 5333 - Design-to-Flight: Small Uninhabited Aerial Vehicles
(3.0 cr; Prereq-[[4202, &4303W, 4601] or equiv], #; A-F only, spring, offered periodically)
Designing, assembling, modeling, simulating, testing/flying of uninhabited aerial vehicles. Rapid prototyping software tools for vehicle modeling. Guidance, navigation, flight control, real-time implementations, hardware-in-the-loop simulations, flight tests.



AEM 5401 - Intermediate Dynamics
(3.0 cr; Prereq-CSE upper div or grad, 2012, Math 2243; A-F or Aud, fall, every year)
Three-dimensional Newtonian mechanics, kinematics of rigid bodies, dynamics of rigid bodies, generalized coordinates, holonomic constraints, Lagrange equations, applications.



AEM 5431 - Trajectory Optimization
(3.0 cr; Prereq-4321 or EE 4231 or ME 5281 or equiv; A-F or Aud, fall, spring, offered periodically)
Parameter optimization problems. Calculus of variations. Nonlinear optimal control problems. Trajectory optimization algorithms. Steady-state aircraft flight. Minimum-time climb aircraft trajectory. Aero-assisted orbital transfer trajectories. Optimal space trajectories.



AEM 5441 - Structural Dynamics
(3.0 cr; Prereq-2012, 3031, [grad student or CSE upper div]; A-F or Aud, fall, offered periodically)
Frequency, time domain analysis of multi-degree of freedom mechanical systems. Natural frequencies, normal modes of vibration. Free/forced vibrations of strings, rods, and shafts beams. Introduction to finite elements in structural dynamics.



AEM 5451 - Optimal Estimation
(3.0 cr; =[EE 5251]; Prereq-[[MATH 2243 or STAT 3021 or equiv], [4321 or EE 4231 or ME 5281 or equiv]] or #; A-F or Aud, fall, even academic years)
Basic probability theory. Batch/recursive least squares estimation. Filtering of linear/non-linear systems using Kalman and extended Kalman filters. Applications to sensor fusion, fault detection, and system identification.



AEM 5495 - Topics in Aerospace Systems
(1.0 - 4.0 cr [max 4.0 cr]; Prereq-%; A-F or Aud, fall, spring, summer, every year)
Topics of current interest. Individual projects with faculty sponsor.



AEM 5501 - Continuum Mechanics
(3.0 cr; Prereq-CSE upper div or grad, 3031, Math 2243 or equiv or #; fall, every year)
Concepts common to all continuous media; elements of tensor analysis; motion, deformation, vorticity; material derivatives; mass, continuity equation; balance of linear, angular momentum; geometric characterization of stress; constitutive equations.



AEM 5503 - Theory of Elasticity
(3.0 cr; Prereq-4501 or equiv, Math 2263 or equiv or #; A-F or Aud, spring, every year)
Introduction to the theory of elasticity, with emphasis on linear elasticity. Linear and nonlinear strain measures, boundary-value problem for linear elasticity, plane problems in linear elasticity, three dimensional problems in linear elasticity. Topics from nonlinear elasticity, micromechanics, contact problems, fracture mechanics.



AEM 5651 - Aeroelasticity
(3.0 cr; Prereq-4202, 4301, [grad student or CSE upper div]; A-F or Aud, fall, every year)
Static aeroelastic phenomena, torsional divergence of a lifting surface, control surface reversal. Aeroelastic flutter, unsteady aerodynamics. Problems of gust response, buffeting. Design project.



AEM 8000 - Seminar: Aerospace Engineering and Mechanics
(1.0 cr [max 4.0 cr]; Prereq-DGS consent; S-N or Aud, fall, spring, every year)
To be determined



AEM 8201 - Fluid Mechanics I
(3.0 cr; Prereq-4201 or equiv, Math 2263 or equiv; fall, every year)
Mathematical and physical principles governing the motion of fluids. Kinematic, dynamic, and thermodynamic properties of fluids; stress and deformation; equations of motion; analysis of rotational and irrotational inviscid incompressible flow; two-dimensional and three-dimensional potential flow.



AEM 8202 - Fluid Mechanics II
(3.0 cr; Prereq-8201; spring, every year)
Analysis of incompressible viscous flow; creeping flows; boundary layer flow.



AEM 8203 - Fluid Mechanics III
(3.0 cr; Prereq-8202; fall, every year)
Analysis of compressible flow and shock waves; method of characteristics for one-dimensional unsteady flow and for two-dimensional steady flow.



AEM 8207 - Hydrodynamic Stability
(3.0 cr [max 4.0 cr]; Prereq-8201)
Theory of hydrodynamic stability. Stability of shear flows, rotating flows, boundary layer, two fluid flows, fingering flows, Rayleigh-Taylor instability, Kelvin Helmholtz instability, capillary instability, convective/absolute stability. Methods of linear stability, normal modes, energy theory of stability, nonlinear perturbation, bifurcation theory, transition to turbulence.



AEM 8211 - Theory of Turbulence I
(3.0 cr; Prereq-8202)
Reynolds equations, methods of averaging, elements of stability theory and vortex dynamics; description of large vortical structures in mixing layers and boundary layers; horseshoe vortices; flow visualization.



AEM 8212 - Theory of Turbulence II
(3.0 cr; Prereq-8211)
Prandtl's mixing length theory applied to classical boundary layer, pipe, jet, and wake flows; prediction methods used at Stanford Conference; law of wall; law of wake; K-epsilon method.



AEM 8213 - Turbulent Shear Flows
(3.0 cr; Prereq-8201, 8202; A-F or Aud)
Equations of motion for turbulent flow. Isotropic/homogeneous turbulence. Free shear flows. Wall turbulence, elements of vortex dynamics.



AEM 8221 - Rheological Fluid Mechanics
(3.0 cr; Prereq-8201 or 5501 or #)
Methods of solution for flows of simple fluids with general constitutive equations. Topics from viscometric flow, extensional flow, perturbations of the rest state with steady and unsteady flow, secondary flow.



AEM 8231 - Molecular Gas Dynamics
(3.0 cr; =[ME 8361]; Prereq-[4201 or equiv], [4203 or equiv], [ME 3324 or equiv])
Kinetic theory of gases, Boltzmann equation, Maxwell-Boltzmann distribution, collisions, transport properties. Introduction to quantum mechanics. Statistical thermodynamics, classical/quantum statistics. Partition functions and thermodynamic properties. Irreversible thermodynamics.



AEM 8241 - Perturbation Methods in Fluid Mechanics
(3.0 cr; Prereq-8202 or #)
Method of matched asymptotic expansions presented through simple examples and applied to viscous flows at high and low Reynolds numbers and other problems in fluid mechanics and applied mathematics.



AEM 8251 - Finite-Volume Methods in Computational Fluid Dynamics
(3.0 cr; Prereq-4201 or 8201 or equiv, CSci 1107 or equiv; spring, offered periodically)
Development of finite-volume computational methods for solution of compressible Navier-Stokes equations. Accuracy, consistency, and stability of numerical methods; high-resolution upwind shock-capturing schemes; treatment of boundary conditions; explicit and implicit formulations; considerations for high performance computers; recent developments and advanced topics.



AEM 8253 - Computational Methods in Fluid Mechanics
(3.0 cr; Prereq-4201; A-F or Aud)
Spatial discretization. Spectral methods. Temporal discretization. Nonlinear sources of error. Incompressible Navier-Stokes equations. Compressible Navier-Stokes equations.



AEM 8261 - Nonlinear Waves in Mechanics
(3.0 cr; Prereq-5501 or #)
Theory of kinematic, hyperbolic, and dispersive waves, with application to traffic flow, gas dynamics, and water waves.



AEM 8271 - Experimental Methods in Fluid Mechanics
(3.0 cr; Prereq-4201, #)
Overview of computer organization, including external communications and A/D, D/A conversion. Measurement techniques, such as pressure measurements and hot-wire and laser Doppler anemometry. Signal processing and uncertainty; computer control of experiments.



AEM 8295 - Selected Topics in Fluid Mechanics
(1.0 - 4.0 cr [max 8.0 cr]; Prereq-%; fall, spring, summer, offered periodically)
Includes individual student projects completed under guidance of a faculty sponsor.



AEM 8333 - FTE: Master's
(1.0 cr; Prereq-Master's student, adviser and DGS consent; No Grade, fall, spring, summer, every year)
(No description)



AEM 8400 - Seminar: Aerospace Systems
(1.0 cr [max 4.0 cr]; Prereq-Aerosp Eng grad student; S-N or Aud, fall, spring, every year)
Developing program of research in aerospace Systems. Discussions of current research/topics of interest.



AEM 8411 - Advanced Dynamics
(3.0 cr; Prereq-5401 or equiv; A-F or Aud, spring, offered periodically)
Advanced analytical mechanics and non-linear dynamical systems. Review of Lagrangian mechanics. Hamilton's equations of motion. Canonical transformations and Hamilton-Jacobi theory. Kane's equations. Analysis of differential equations and numerical methods. Phase plane, averaging, and perturbation methods. Stability/bifurcations of equilibria.



AEM 8421 - Robust Multivariable Control Design
(3.0 cr; Prereq-5321 or equiv; spring, offered periodically)
Application of robust control theory to aerospace systems. Role of model uncertainty/modeling errors in design process. Control analysis and synthesis, including H[sub2] and H[infinity symbol] optimal control design and structural singular value [Greek letter mu] techniques.



AEM 8423 - Convex Optimization Methods in Control
(3.0 cr; Prereq-5321 or EE 5231 or equiv; A-F or Aud, fall, offered periodically)
Practical aspects of convex optimization methods applied to solve design/analysis problems in control theory.



AEM 8426 - Optimization and System Sciences
(3.0 cr; Prereq-5321 or 5431, CSE grad student; A-F or Aud, fall, offered periodically)
Review of probability concepts and random variables, nonlinear stochastic differential equations and their numerical solutions, Monte-Carlo simulations, Gauss-Markov process, stochastic dynamic programming, and optimal control of practical uncertain dynamic systems.



AEM 8442 - Navigation and Guidance Systems
(3.0 cr; Prereq-Exposure to [linear algebra, differential equations, probability, statistics]; A-F or Aud)
Fundamental principles of navigation. Algorithms, performance analysis of navigational systems. Radio-navigation systems (DME,VOR,ILS). Satellite navigation ysstems (GPS,GLDNASS). Inertial navigation systems mechanization, error analysis.



AEM 8444 - FTE: Doctoral
(1.0 cr; Prereq-Doctoral student, adviser and DGS consent; No Grade, fall, spring, summer, every year)
(No description)



AEM 8451 - System Identification: Theory and Applications
(3.0 cr; Prereq-4321 or equiv; A-F or Aud, spring, offered periodically)
Modeling methods for dynamic systems using measurement data, or in combination with first principles, based on theory of systems/signals. Primary emphasis on linear systems for control system design/simulation applications. Examples from aerospace applications.



AEM 8495 - Advanced Topics in Aerospace Systems
(1.0 - 4.0 cr [max 9.0 cr]; Prereq-%; A-F or Aud, fall, spring, summer, every year)
Individual student projects completed under guidance of a faculty sponsor.



AEM 8500 - Research Seminar in Mechanics of Materials
(1.0 - 3.0 cr [max 12.0 cr]; Prereq-#; A-F or Aud, fall, spring, every year)
Seminars given by students, faculty, and visitors on topics drawn from current research.



AEM 8511 - Advanced Topics in Continuum Mechanics
(3.0 cr [max 6.0 cr]; Prereq-5501 or #; A-F or Aud)
Constitutive equations; invariance and thermodynamic restrictions. Nonlinear elasticity theory; exact solutions, minimization, stability. Non-Newtonian fluids; viscometric flows, viscometric functions, normal stress. Other topics may include reactive and/or nonreactive mixtures, nonlinear plasticity, and deformable electromagnetic continua.



AEM 8521 - Advanced Topics in Elasticity
(3.0 cr; Prereq-5503; A-F or Aud)
Contact stresses, finite deformations, and other topics.



AEM 8523 - Elastodynamics
(3.0 cr; Prereq-4581 or 5501 or #; A-F or Aud)
Waves and vibrations in rods, beams, and plates; dispersion; volume and surface waves; reflection; energy theorems; vibrations of bounded media and relation to technical theories; elements of nonlinear waves, inelastic waves, and stability of motion of elastic systems.



AEM 8525 - Elastic Stability of Materials
(3.0 cr; Prereq-CSE grad student, familiarity with theory of linear algebra; A-F or Aud, fall, even academic years)
Stability/bifurcation problems. Poincare stability, Lyapunov stability, asymptotic stability. Lyapunov's general methods. Minimum potential energy criterion for elastic conservative systems. Numerical methods for continuation/branch switching. Material phase transformation, crystalline material stability, soft-phonon theory of phase transitions. Material instability problems in finite-strain elasticity. Stability of discrete/continuous structures.



AEM 8531 - Fracture Mechanics
(3.0 cr; Prereq-5503 or #; A-F or Aud, fall, spring, offered periodically)
Theories of mechanical breakdown. Kinetic rate theories and instability considerations; formation of equilibrium cracks and circular crack propagation under pulses; statistical aspects of strength and fracture of micromolecular systems; time and temperature dependency in fracture problems and instability of compressed material systems.



AEM 8533 - Theory of Plasticity
(3.0 cr; Prereq-5203 or #)
Theory of permanent deformation of ductile metals; bi-linear material models, Drucker's three bar truss, and other examples; 3-D continuum formulation, yield surfaces, hardening rules, and material stability; slip line theory, Prandtl punch solution; single crystal plasticity.



AEM 8541 - Mechanics of Crystalline Solids
(3.0 cr; Prereq-5501 or #)
Atomic theory of crystals and origins of stress in crystals. Relation between atomic and continuum description; phase transformations and analysis of microstructure; effects of shear stress, pressure, temperature, electromagnetic fields, and composition on transformation temperatures and microstructure; interfacial energy in solids.



AEM 8551 - Multiscale Methods for Bridging Length and Time Scales
(3.0 cr; Prereq-Basic knowledge of [continuum mechanics, atomic forces], familiarity with partial differential equations, grad student in [engineering or mathematics or physics]; A-F or Aud)
Classical/emerging techniques for bridging length/time scales. Nonlinear thermoelasticity, viscous fluids, and micromagnetics from macro/atomic viewpoints. Statistical mechanics, kinetic theory of gases, weak convergence methods, quasicontinuum, effective Hamiltonians, MD, new methods for bridging time scales.



AEM 8595 - Selected Topics in Mechanics and Materials
(1.0 - 4.0 cr [max 8.0 cr]; Prereq-%; fall, spring, summer, every year)
Includes individual student projects completed under guidance of a faculty sponsor.



AEM 8666 - Doctoral Pre-Thesis Credits
(1.0 - 6.0 cr [max 12.0 cr]; Prereq-Doctoral student who has not passed prelim oral; no required consent for 1st/2nd registrations, up to 12 combined cr; % for 3rd/4th registrations, up to 24 combined cr; doctoral student admitted before summer 2007 may register up to four times, up to 60 combined cr; No Grade, fall, spring, summer, every year)
To be determined



AEM 8777 - Thesis Credits: Master's
(1.0 - 18.0 cr [max 50.0 cr]; Prereq-Max 18 cr per semester or summer; 10 cr total required [Plan A only]; No Grade, fall, spring, summer, every year)
(No description)



AEM 8880 - Plan B Project
(1.0 - 3.0 cr [max 3.0 cr]; Prereq-Grad aerospace engineering or mechanics major, %; fall, spring, summer, every year)
Satisfies project requirement for Plan B Master's degree. May appear on M.S. program but does not count toward 20-credit minimum in the major field. Topic arranged by student and advisor; written report required.



AEM 8888 - Thesis Credit: Doctoral
(1.0 - 24.0 cr [max 100.0 cr]; Prereq-Max 18 cr per semester or summer; 24 cr required; No Grade, fall, spring, summer, every year)
(No description)



 
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