Graduate Courses Descriptions: Mechanics and Materials
This Division concentrates on the studies analytical and experimental fundamentals of mechanics and materials. Areas of specialization include: Computational modeling; Control systems, Design, characterization, and manufacturing of materials; Elasticity; Experimental mechanics; Fracture mechanics; Linear and nonlinear mechanics; Micro-nano-bio systems, Noise and vibration control; Nonlinear dynamics; Robotics and intelligent machines, Smart structures .
Examples of current research topics include: Control systems in product development organization; Dynamic deformation and fracture studies, including fracture and fragmentation by explosives; Fiber optics; Smart structures; vibration and acoustic control; Nonlinear dynamics of milling of thin walled structures; Control of crane-load oscillations; Development of creep-fatigue damage models for viscoplastic materials such as solder; Micromechanics of advanced composite materials; Characterization and optimization of mechanical properties of materials; Processing and composition for alloy property optimization; Theory and application of finite element methods for active materials; Modal testing methods for non-destructive detection of damage in structural systems; Mechanical characterization of MEMS materials; Manufacturing systems; MEMS (Micro-Electro-Mechanical Systems); Design and manufacturing of functionally graded materials for smart structures and microdevices.
ENME 602 (formerly ENME 808V) - MEMS DEVICE PHYSICS AND DESIGN (3)
Prerequisite: N/A. Science, design, and device physics of micromachined sensors and actuators. Transduction mechanisms, scaling laws, and microscale physics of MEMS components.
ENME 644 (Formerly ENME 808P) - FUNDAMENTALS OF ACOUSTICS (3)
Prerequisite: ENME 360 or equivalent. This course covers the fundamental principles of acoustics allowing the students to go on to more advanced courses in acoustics, such as underwater sound propagation, active noise control, or radiation and scattering from elastic structures.
ENME 661 (formerly ENME 808L)-Dynamic Behavior of Materials & Structures (3)
Prerequisites: None. Response of materials and structures to dynamic loading events. Topics include: theory of wave propagation, plane waves, wave guides, dispersion relations, shock waves, equations of state, dynamic deformation mechanisms, adiabatic shear banding, dynamic fracture. Computational methods for modeling the dynamic response of structures will also be addressed.
ENME 662 - LINEAR VIBRATIONS (3)
Prerequisite: ENME 360 or equivalent or permission of instructor. Development of equations governing small oscillations of discrete and spatially continuous systems. Newton's equations, Hamilton's principle, and Lagrange's equations. Free and forced vibrations of mechanical systems. Modal analysis. Finite element discretization and reductions of continuous systems. Numerical methods. Random vibrations.
ENME 664 - DYNAMICS (3)
Prerequisite: ENES 221 or equivalent or permission of instructor. Kinematics in plane and space; Dynamics of particles, system of particles, and rigid bodies. Holonomic and non-holonomic constraints. Newton's equations, D'Alembert's principle, Hamilton's principle, and equations of Lagrange. Impact and collisions. Stability of equilibria.
ENME 665 - ADVANCED TOPICS IN VIBRATIONS (3)
Prerequisite: ENME 662 or permission of instructor. Nonlinear oscillations and dynamics of mechanical and structural systems. Classical methods, geometrical, computational, and analytical methods. Bifurcations of equilibrium and periodic solutions; chaos.
ENME 666 - MODAL ANALYSIS AND TESTING (3)
Prerequisite: ENME 662 or permission of instructor. Development of linear discrete models of mechanical systems and structures, forced response using modal summation and state space models, digital signal processing, model testing techniques, modal parameters estimation, model refinement using modal test data.
ENME 670 - CONTINUUM MECHANICS (3)
Prerequisite: None. Mechanics of deformable bodies, finite deformation and strain measures, kinematics of continua and global and local balance laws. Thermodynamics of continua, first and second laws. Introduction to constitutive theory for elastic solids, viscous fluids and memory dependent materials. Examples of exact solutions for linear and hyper elastic solids and Stokesian fluids.
ENME 672 - COMPOSITE MATERIALS (3)
Prerequisite: None. Micro mechanics of advanced composites with passive and active reinforcements, mathematical models and engineering implications, effective properties, damage mechanics, and recent advances in "adaptive" or "smart" composites.
ENME 673 - ENERGY AND VARIATIONAL METHODS IN APPLIED MECHANICS (3)
Prerequisite: None. Application of variational principles to mechanics. Includes virtual work, potential energy, strain energy, Castigliano's generalized complementary energy, and the principles of Hellinger-Reissner and Hamilton-Legendre transforms and the foundations of the calculus of variations. Singularities and stability in potential energy function. Applications to rigid, linear and non-linear elastic, and non-conservative examples. Approximation techniques such as Ritz, Petrov-Galerkin, least-squares, etc. Presents the basis for the finite element method.
ENME 674 - FINITE ELEMENT METHODS (3)
Prerequisites: None. Theory and application of finite element methods for mechanical engineering problems such as stress analysis, thermal and fluid flow analysis, electro-magnetic field analysis and coupled boundary-value problems for "smart" or "adaptive" structure applications, and stochastic finite element methods.
ENME 677 - ELASTICITY OF ADVANCED MATERIALS AND STRUCTURES (3)
Prerequisite: MATH 462, ENME 670. Review of field equations and constitutive laws for linear elasticity, linearized boundary value problems; two-dimensional problems, biharmonic equation, Airy stress function, Neou's method, plane stress and plane strain analysis, torsion and flexure, inverse and semi-inverse methods, Saint-Venant's principle, thermoelastic problems; three-dimensional problems, Kelvin's solution, the Boussinesq and Cerruti problems, Hertzian contact; energy methods; wave propagation; applications to advanced materials and structures (e.g., smart structures, multifunctional and functionally graded materials).
ENME 678 - FRACTURE MECHANICS (3)
Prerequisite: None. Advanced treatment of fracture mechanics covering the analysis concepts for determining the stress intensity factors for various types of cracks. Advanced experimental methods for evaluation of materials or structures for fracture toughness. Analysis of moving cracks and the statistical analysis of fracture strength. Illustrative fracture control plans are treated to show the engineering applications of fracture mechanics.
ENME 680 - EXPERIMENTAL MECHANICS (3)
Prerequisite: Undergraduate course in instrumentation or equivalent. Advanced methods of measurement in solid and fluid mechanics. Topics covered include scientific photography, moire, photoelasticity, strain gages, interferometry, holography, speckle, NDT techniques, shock and vibration, and laser anemometry.
ENME 684 - MODELING MATERIAL BEHAVIOR (3)
Prerequisite: ENME 670 or permission of instructor. Constitutive equations for the response of solids to loads, heat, etc. based on the balance laws, frame invariance, and the application of thermodynamics to solids. Non-linear elasticity with heat conduction and dissipation. Linear and non-linear non-isothermal viscoelasticity with the elastic-viscoelastic correspondence principle. Classical plasticity and current viscoplasticity using internal state variables. Maxwell equal areas rule, phase change, and metastability and stability of equilibrium states. Boundary value problems. Introduction to current research areas.
ENME 704 (formerly ENME 808J) - ACTIVE VIBRATION CONTROL (3)
Prerequisite: ENME 602, ENME 662 or equivalent. This course aims at introducing the basic principles of the finite element method and applying it to plain beams and beams treated with piezoelectric actuators and sensors. The basic concepts of structural parameter identification are presented with emphasis on Eigensystem Realization Algorithm (ERA) and Auto-regression models (AR). Different active control algorithms are then applied to beams/piezo-actuator systems. Among these algorithms are: direct velocity feedback, impedance matching control, modal control methods and sliding mode controllers. Particular focus is given to feed forward Leat Mean Square (LMS) algorithms and filtered-X LMS. Optimal placement strategies of sensors and actuators are then introduced and applied to beam/piezo-actuator systems.
ENME 710 (formerly ENME 808C) - APPLIED FINITE ELEMENTS (3)
Prerequisites: ENME 331, ENME 332. Application of finite element methods to the solution of engineering problems - such as stress analysis, thermal conductivity, fluid flow analysis, electro-magnetic field analysis and coupled boundary value problems. Emphasis is on the application of the techniques to the solution of problems. Basic theory is covered at the beginning of the course.
ENME 711 (formerly ENME 808U) - VIBRATION DAMPING (3)
Prerequisite: ENME 662 or equivalent. This course aims at introducing the different damping models that describe the behavior of viscoelastic materials. Emphasis will be placed on modeling the dynamics of simple structures (beams, plates and shells) with Passive Constrained Layer Damping (PCLD). Considerations will also be given to other types of surface treatments such as Magnetic Constrained Layer Damping (MCLD), Shunted Network Constrained Layer Damping (SNCLD), Active Constrained Layer Damping (ACLD) and Electrorheological Constrained Layer Damping (ECLD). Energy dissipation characteristics of the damping treatments will be presented analytically and by using the modal strain energy approach as applied to finite element models of vibrating structure.
ENME 808C - SYSTEM-LEVEL MEMS DESIGN AND SIMULATION: (3)
Hands-on utilization of MEMS computer aided design tools at the systems level. Students will perform design, simulation, and analysis projects using these software tools. Extended design projects involving commercial MEMS services, such as MUMPs and MOSIS foundry technologies, provide experience with design, layout, and simulation of devices for real-world applications. Applications to be covered include microsensors, microfluidics and bioMEMs, and optical microsystems.
ENME 808G - MANUFACTURING SYSTEMS DESIGN AND CONTROL
Please refer to ENME 601.
ENME 808H - DISTRIBUTED SYSTEMS: MODELING, CONTROL AND COMMUNICATIONS
ENME 808J - ACTIVE VIBRATION CONTROL
Please refer to ENME 704.
ENME 808K - MEMS and MICROFABRICATION TECHNOLOGIES I (3)
Prerequisite: None. This course presents a broad overview of MicroElectroMechanical Systems (MEMS) and microfabrication technologies. Both traditional and emerging microfabrication techniques for microsensors, microactuator, and nanotechnology will be introduced. Both silicon and non-silicon microfabrication will be covered.
ENME 808L - MEMS and MICROFABRICATION TECHNOLOGIES II (3)
Prerequisite: ENME 808K. This course will cover the fundamental basis of MEMS and microsystems technology. This is a broad, demanding course that provides a classroom overview as well as design and laboratory components. ENME 808? is part 2 of a 2-semester course (part one is ENME 808K). In the second semester, the course will go into greater depth. We have been fortunate to be able to offer a laboratory component in this course through the generous sponsorship by Northrop Grumman Corporation, which covers the cost. You will have the opportunity to gain real-life research experience in microfabrication.
ENME 808N - ACTIVE POLYMER MATERIALS (3)
Prerequisite: None. This course will cover active materials, including gels, conjugated polymers, IPMC, piezoelectrics, and electrostrictives. Actuation mechanisms will be reviewed (pH change, electric field, etc.) We will consider metrics for evaluating performance as well as their applications in MEMS, bio-mimetic devices, robotics, macro-structures, and optics. As substantial part of the course will be devoted to characterization techniques (stress, strain, SEM, TEM, AFM, x-ray diffraction, neutron diffraction, XPS, EDS, HPLC, FTIR, Auger, SIMS, TGA, UV-Vis-NIR, profilometry, ellipsometry, electrochemistry). Modeling and system identification for understanding the physical mechanisms of actuation will also be covered.
ENME 808P - RANDOM VIBRATIONS OF STRUCTURAL SYSTEMS (3)
Prerequisite: ENME 361, ENME 392, or the equivalent, and a working knowledge of MATLAB. Introduction to statistical concepts and mathematical methods used to model, analyze, and predict the response of mechanical, aeronautical, and civil structural systems to externally applied random excitations. These methods will be applied to the design and analysis of such systems to resist failures due to the effects of mechanical disturbances, wind and turbulence, earthquakes, transportation environments, and ocean wave loading.
ENME 808R - EXPLOSIVES I (3)
Prerequisite: None. This two-semester course provides a broad-based introduction to the whole field of explosive technology from basic research to production and demilitarization. The primary focus of the course is on explosive materials. The technology of research, development, and engineering is presented and then related to the behavior of energetic materials. The first semester emphasizes explosive sensitivity and safety, explosion effects, and the development and application of explosive compositions.
ENME 808S - EXPLOSIVES II (3)
For description see previous entry.
ENME 808U - VIBRATION DAMPING
Please refer to ENME 711.
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