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Mechanical Engineering and Applied Science
505. (MEAM405, MSE 405, MSE 505) Mechancial Properties of Macro/Nanoscale Materials. (B) The application of continuum and microstructural concepts to consideration of the mechanics and mechanisms of flow and fracture in metals, polymers and ceramics. The course includes a review of tensors and elasticity with special emphasis on the effects of symmetry on tensor properties. Then deformation, fracture and degradation (fatique and wear) are treated, including mapping strategies for understanding the ranges of material properties. 509. Mechanics of Human Motion. (D) This course considers normal human movement (especially grasping, reaching, walking, and running), pathological conditions (e.g., resulting from disease, injury, malformations), and engineering approaches such as prostheses (limb replacements) and orthoses (limb assists) that may ameliorate the conditions and promote normal movements and function. In doing so, we will also learn musculoskeletal anatomy, comparative anatomy, muscle mechanics, and neural control. An objective of the course is to bring together technical analysis and synthesis skills of students with the practical problems of persons disabled by amputation, stroke, spinal cord injury, and other causes. The potential problems of applying engineering techniques to human beings will be emphasized. Engineering design comprises that are necessary are also given emphasis.
512. Industrial Design Basics. (A) This course provides an introduction to the ideas and techniques of Industrial Design, which operates betweenEngineering and Marketing as the design component of Integrated Product Development. The course is intended for students from engineering, design, or business with an interest in multi-disciplinary, needs-based product design methods. It will follow a workshop model, combining weekly lectures on design manufacturing, with a progressive set of design exercises.
514. Design for Manufacturability. Prerequisite(s): Senior or Graduate standing in the School of Design, Engineering, or Business with completed product development and/or design engineering core coursework or related experience. This course is aimed at providing current and future product design/development engineers, manufacturing engineers, and product development managers with an applied understanding of Design for Manufacturability (DFM) concepts and methods. The course content includes materials from multiple disciplines including: engineering design, manufacturing, marketing, finance, project management, and quality systems. 515. (MEAM415, OPIM415) Product Design. This course provides tools and methods for creating new products. The course is intended for students with a strong career interest in new product development, entrepreneurship, and/or technology development. The course follows an overall product methodology, including the identification of customer needs, generation of product concepts, prototyping, and design-for-manufacturing. Weekly student assignments are focused on the design of a new product and culminate in the creation of a prototype. The course is open to juniors and seniors in SEAS or Wharton. 519. (MSE 550) Introduction to Elasticity. (B) This course is targeted to engineering students working in the areas on micro/nanomechanics of materials. The course will start with a quick review of the equations of linear elasticity and proceed to solutions of specificproblems such as the Hertz contact problem, Eshelby's problem etc. Failure mechanisms such as fracture and the fundamentals of dislocations/plasticity will also be discussed. L/L 520. (CIS 390, MEAM420) Robotics and Automation. (B) Prerequisite(s): Graduate standing in engineering or permission of instructor. Today's robots replace, assist, or entertain humans in many tasks. Recent examples of robots are planetary rovers, robot pets, medical surgical assistive devices, and semi-autonomous ground vehicles for search and rescue operations. The goal of this class is to introduce the students to the common kinematic, dynamic, and computational principles and practical examples that are representative of today's robotic systems. The three main topics are coordinate system transformations and kinematics, control of mobile robots, and motion planning of robotic systems. The laboratory component includes simulation exercises, programming and control of mobile robots, and demonstrations with robot arms. 522. (EE 522) Fundamentals of Sensor Technology. (C) Explores the principles of sensor science, develops the relationship between intensive and extensive variables, and presents the linear laws between these variables. Students will review the flux-force relations describing kinetic phenomena against the context of means for transducing temperature, stress, strain, magnetic processes and chemical concentration into electrical signals. The need for multivariate signal processing will be introduced and selected applied topics considered. 530. (MEAM630) Continuum Mechanics. (A) Prerequisite(s): Multivariable Calculus, Linear Algebra, Partial Differential Equations. This course serves as a basic introduction to the Mechanics of continuous media, and it will prepare the student for more advanced courses in solid and fluid mechanics. The topics to be covered include: Tensor algebra and calculus, Lagrangian and Eulerian kinematics, Cauchy and Piola-Kirchhoff stresses, General principles: conservation of mass, conservation of linear and angular momentum, energy and the first law of thermodynamics, entropy and the second law of thermodynamics; constitutive theory, ideal fluids, Newtonian and non-Newtonian fluids, finite elasticity, linear elasticity, materials with microstructure. 533. (MEAM433) Advanced Heat and Mass Transfer. (M) Prerequisite(s): MEAM 302 and MEAM 333 or equivalent. This course follows a first general course in heat transfer, to give further understanding of the basic mechanisms, the kinds of transport processes and of engineering applications, design and methodology. More generalized formulations, treatment, and results for conductive, convective, radiative and combined transport will be given. Extensive use of computers for numerical solutions of complex problems and computer-aided education. Several specific design applications will be considered in detail, such as the following: heat exchangers, thermal stressing, solar collectors, electronic equipment cooling, cooling towers, environmental discharges, engine cooling and structure icing. 535. Advanced Dynamics. (A) Rigid body kinematics; Newtonian formulations of laws of motion; concepts of momentum, energy and inertia properties; generalized coordinates, holonomic and nonholonomic constraints. Generalized forces, principle of virtual work, D'Alembert's principle. Lagrange's equations of motion and Hamilton's equations. Conservation laws and integrals of motion. Friction, impulsive forces and impact. Applications to systems of rigid bodies. 536. (MEAM436) Viscous Fluid Flow. (M) Prerequisite(s): MEAM 302. This course may be taken by M.S.E. students for credit. M.S.E. students will be required to do some extra work, they will be graded on a different grade scale than undergraduate students, and they will be required to demonstrate a higher level of maturity in their class assignments. MEAM doctoral candidates will not be permitted to count this course as a part of their degree requirements. Review of the fundamental laws of fluid mechanics. Analysis and discussion of the theory of incompressible viscous flow. Dimensional reasoning, similarity, Stokes approximations, laminar boundary layer theory, methods for non-similar boundary layers, approximate techniques, stability and turbulence. 537. (MSE 537) Nanomechanics and Nanotribology at Interfaces. (C) Faculty. Prerequisite(s): Freshman physics; MEAM 354 or equivalent, or consent of instructor. Engineering is progressing to ever smaller scales, enabling new technologies, materials, devices, and applications. Mechanics enters a new regime where the role of surfaces, interfaces, defects, material property variations, and quantum effects play more dominant roles. This course will provide an introduction to nano-scale mechanics and tribology at interfaces, and the critical role these topics play in the developing area of nanoscience and nanotechnology. We will discuss how mechanics and tribology at interfaces become integrated with the fields of materials science, chemistry, physics, and biology at this scale. We will cover a variety of concepts and applications, drawing connections to both established and new approaches. We will discuss the limits of continuum mechanics and present newly developed theories and experiments tailored to describe micro- and nano-scale phenomena. We will emphasize specific applications throughout the course. Literature reviews, critical peer discussion, individual and team problem assignments, a laboratory project, and student presentations will be assigned as part of the course. 540. Optimal Design of Mechanical Systems. (M) Prerequisite(s): MATH 240, 312 or equivalent; MEAM 210, 453 or equivalent, or permission of the instructor; familiarity with a computer language; undergraduates require permission. Mathematical modeling of mechanical design problems for optimization. Highlights and overview of optimization methods: unconstrained optimization, unidirectional search techniques, gradient, conjugate direction, and Newton methods. Constrained optimization. KKT optimality conditions, penalty formulations, augmented Lagrangians, and others. SLP and SQP and other approximate techniques for solving practical design problems. Monotonicity analysis and modeling of optimal design problems. Optimization of structural elements including shape and topology synthesis. Variational formulation of distributed and discrete parameter structures. Design criteria for stiffness and strength. Design sensitivity analysis. The course will include computer programs to implement the algorithms discussed and solve realistic design problems. A term project is required. 544. (BE 455, MEAM455) Continuum Biomechanics. (A) Prerequisite(s): Statics, linear algebra, and differential equations. Biological and non-biological systems are both subject to several basic physical balance laws of broad engineering importance. Fundamental conservation laws are introduced and illustrated using examples from both animate as well as inanimate systems. Topics include kinematics of deformation, the concept of stress, conservation of mass, momentum, and energy. Mechanical constitutive equations for fluids, solids and intermediate types of media are described and complemented by hands-on experimental and computational laboratory experiences. Practical problem solving using numerical methods will be introduced.
550. Micro-Electro-Mechanical Systems. (M) Prerequisite(s): MEAM 527 or equivalent is recommended. Undergraduates need permission. Introduction to Micro-Electro-Mechanical Systems (MEMS). A brief overview of micromachining. Modeling strategies and algorithms for multi-energy domain coupled governing equations of MEMS components, devices, and systems. Component-level and system-level dynamics. Design case studies covering a wide range of transducers including mechanical, electrostatic, thermal, magnetic, optical, etc. Synthesis methods for MEMS. Review of selected recent papers from the literature. A term-project or a term-paper on a selected topic is required. 554. (MEAM454) Mechanics of Materials. (M) Prerequisite(s): MEAM 210, MATH 240, 241. This course is cross-listed with an advanced level undergraduate course. It may be taken by M.S.E. students for credit. M.S.E. students will be required to do some extra work, they will be graded on a different scale than undergraduate students, and they will be required to demonstrate a higher level of maturity in their class assignments. MEAM doctoral students will not be permitted to count 400/500 courses as part of their degree requirements. Rods and trusses. Stress. Principal stresses. Strain. Compatibility. Elastic stress-strain relations. Strain energy. Plane strain. Plane stress. Bending of beams. Torsion. Rotating disks. Castigliano's Theorem. Dummy loads. Principle of virtual work. The Rayleigh-Ritz methods. Introduction to the finite element method. Non-linear material behavior. Yielding. Failure. L/R 555. (BE 444, BE 555, CBE 444, CBE 555) Nanoscale Systems Biology. (A) Prerequisite(s): Background inBiology, Chemistry or Engineering with coursework in thermodynamics or permission of the instructor. From single molecule studies to single cell manipulations, the broad field of cell and molecular biology is becoming increasingly quantitative and increasingly a matter of systems simplification and analysis. The elaboration of various stresses on cellular structures, influences of interaction pathways and convolutions of incessant thermal motions will be discussed via lectures and laboratory demonstration. Topics will range from, but are not limited to, protein folding/forced unfolding to biomolecule associations, cell and membrane mechanics, and cell motility, drawing from very recent examples in the literature. Frequent hands-on exposure to modern methods in the field will be a significant element of the course in the laboratory. Skills in analytical and professional presentations, papers and laboratory work will be developed.
L/R 562. (BE 562, CBE 562) Robotics and Combinatorial Experimentation. (C) An introduction to the use of robotics for large-scale experimentation. The course will cover micropositioning, micromanipulation, liquid handling, combinatorial chemistry, microfluidics and lob-on-a-chip design, DNA biochips and microarrary technologies. A special emphasis is placed on: drug discovery, detection systems; and the generation and analysis of biological diversity. Examples from material discovery will also be covered. Working knowledge in biology or fluid mechanics is not assumed, but helpful. L/L 564. (ESE 460, ESE 574) The Principles and Practice of Microfabrication Technology. (M) Prerequisite(s): Any of the following courses: ESE 218, MSE 321, MEAM 333, CHE 351, CHEM 321/322, Phys 250 or permission of the instructor. A laboratory course on fabricating microelectronic and micromechanical devices using photolithographic processing and related fabrication technologies. Lectures discuss: clean room procedures, microelectronic and microstructural materials, photolithography, diffusion, oxidation, materials deposition, etching and plasma processes. Basic laboratory processes are covered in the first two thirds of the course with students completing structures appropriate to their major in the final third. Students registering for ESE 574 will be expected to do extra work (including term paper and additional project). L/R 570. (CBE 640) Transport Processes I. (A) Diamond, Sinno. The course provides a unified introduction to momentum, energy (heat), and mass transport processes. The basic mechanisms and the constitutive laws for the various transport processes will be delineated, and the conservation equations will be derived and applied to internal and external flows featuring a few examples from mechanical, chemical, and biological systems. Reactive flows will also be considered. 571. Advanced Topics in Transport Phenomena. (C) Prerequisite(s): Either MEAM 570, MEAM 642, CHE 640 or equivalent, or Written permission of the Instructor. The course deals with advanced topics in transport phenomena and is suitable for graduate students in mechanical, chemical and bioengineering who plan to pursue research in areas related to transport phenomena or work in an industrial setting that deals with transport issues. Topics include: Multi-component transport processes; Electrokinetic phenomena; Phase change at interfaces: Solidification, melting, condensation, evaporation, and combustion; Radiation heat transfer: properties of real surfaces, non-participating media, gray medium approximation, participating media transport, equation of radiative transfer, optically thin and thick limits, Monte-Carlo methods: Microscale energy transport in solids; microstructure, electrons, phonons, interactions of photons with electrons, phonons and surfaces; microscale radiation phenomena. 572. Micro/Nanoscale Energy Transport. (C) Prerequisite(s): Undergraduate thermodynamics and heat transfer (or equivalent), or permission of the instructor. Undergraduates my enroll with permission of the instructor. As materials and devices shrink to the micro- and nanoscale, they transmit heat, light and electronic energy much differently than at the macroscopic length scales. This course provides a foundation for studying the transport of thermal,optical, and electronic energy from a microscopic perspective. Concepts from solid state physics and statistical mechanics will be introduced to analyze the influence of small characteristic dimensions on the propagatin of crystal vibratins, electrons, photons, and molecules. Applications to mdern microdevices and therometry techniques will be discussed. Topics to be covered include natural and fabricated microstructures, transport and scattering of phonons and electrons in solids, photon-phonon and photon-electron interactions, radiative recombinations, elementary kinetic theory, and the Boltzmann transport equation. 575. Physicochemical Hydrodynamics and Interfacial Phenomena. (C) The course will focus on a few topics relevant to micro-fluidics and nano-technology. In particular, we will learn how the solid liquid interface acquires charge and the role that this charge plays in colloid stability, electroosmosis, and electrophoresis. Other topics will include controlled nano-assembly with dielectrophoresis, and stirring at very low Reynolds numbers (Lagrangian Chaos). The focus of the course will be on the physical phenomena from the continuum point of view. The mathematical complexity will be kept to a minimum. Software tools such as Maple and Femlab will be used throughout the course. The course will be reasonably self- contained and necessary background material will be provided consistent with the students' level of preparation.
625. Haptic Interfaces for Virtual Environments and Teleoperation. (C) Faculty. Prerequisite(s): Graduate standing in engineering and MEAM 535 (Advanced Dynamics) or ESE 500 (Linear Systems Theory) or CIS 580 (Machine Perception) or equivalent. Undergraduates require permission. This class provides a graduate-level introduction to the field of haptics, which involves human interaction with real, remote, and virtual objects through the sense of touch. Haptic interfaces employ specialized robotic hardware and unique computer algorithms to enable users to explore and manipulate simulated and distant environments. Primary class topics include human haptic sensing and control, haptic interface design, virtual environment rendering methods, teleoperation control algorithms, and system evaluation; current applications for these technologies will be highlighted, and important techniques will be demonstrated in a laboratory setting. Coursework includes problem sets, programming assignments, reading and discussion of research papers, and a final project. Appropriate for students in any engineering discipline with interest in robotics, dynamic systems, controls, or human-computer interaction. 630. (MEAM530) Advanced Continuum Mechanics. (A) Prerequisite(s): One graduate level course in applied mathematics and one in either fluid or solid mechanics. This course is a more advanced version of MEAM 530. The topics to be covered include: tensor algebra and calculus, Lagrangian and Eulerian kinematics; Cauchy and Piola-Kirchhoff stresses. General principles: conservation of mass, conservation of linear and angular momentum, energy and the first law of hermodynamics, entropy and the second law of thermodynamics. Constitutive theory, ideal fluids, Newtonian and non-Newtonian fluids, finite elasticity, linear elasticity, materials with microstructure.
633. Fracture Mechanics. (M) Prerequisite(s): Background equivalent to MEAM 519 and ENM 510. Linear elastic analysis of bodies with cracks. Energy balance criterion for crack growth and stability. Analysis of cracks in elastic-plastic and rate-dependent materials. J integral and applications to crack growth and stability. Large-scale yielding and dynamic fracture. Interface fracture. 634. Rods and Shells. (C) Prerequisite(s): First-year graduate-level applied mathematics for engineers (ENM 510 and 511) and a first course in continuum mechanics or elasticity or permission of instructor. This course is intended for 2nd year graduate students and introduces continuum mechanics theory of rods and shells with applications to structures and to biological systems as well as stability and buckling. The course begins with topics from differential geometry of curves and surfaces and the associated tensor analysis on Riemannian spaces. A brief introduction to variational calculus is included since variational methods are a powerful tool for formulating approximate structural mechanics theories and for numerical analysis. The structural mechanics theories of rods, plates and shells are introduced including both linear and nonlinear theories. 635. Composite Materials. (M) Prerequisite(s): ENM 510. Corequisite(s): ENM 511. This course deals with the prediction of the average, or effective properties of composite materials. The emphasis will be on methods for determining effective behavior. The course will be concerned mostly with linear mechanical and physical properties, with particular emphasis on the effective conductivity and elastic moduli of multi-phase composites and polycrystals. However, time-dependent and non-linear properties will also be discussed. 642. Fluid Mechanics I. (B) Fluid mechanics as a vector field theory; basic conservation laws, constitutive relations, boundary conditions, Bernoulli theorems, vorticity theorems, potential flow. Viscous flow; large Reynolds number limit; boundary layers. 643. Fluid Mechanics II. (A) Waves, one-dimensional gas dynamics. Transition, turbulence. Small Reynolds number limit: Stokes' flow. Compressible potential flow. Method of characteristics. Rotating flows. Stratified flows. Jets. 644. Fluid Mechanics III. (B) Theory of hydrodynamic discontinuities: contact and gas dynamic. Shock structure. Higher order boundary layer theory. Stability theory. Compressible boundary layers or introduction to kinetic theory. 645. Fluid Mechanics IV. (A) Gas kinetic theory: Boltzmann equation. H-theorem, equilibrium solutions, transport coefficients. Rarified gas dynamics, methods of approximate solution to Boltzmann equation. Continuum limit: Navier-Stokes equations. 646. Computational Mechanics. (M) Prerequisite(s): ENM 510, ENM 511, and one graduate level introductory course in mechanics. FORTRAN or C programming experience is necessary. The course is divided into two parts. The course first introduces general numerical techniques for elliptical partial differential equations - finite difference method, finite element method and spectral method. The second part of the course introduces finite volume method. SIMPLER formulation for the Navier-Stokes equations will be fully described in the class. Students will be given chances to modify a program specially written for this course to solve some practical problems in heat transfer and fluid flows. 647. Non-Newtonian Fluid Dynamics. (M) Prerequisite(s): ENM 510 and MEAM 642 or 530. This in an introductory course in rheology - study of flow and deformation of matter. The course will describe the rheological behavior of polymers, low-molecular weight synthetic fluids and particulate suspensions. The course will concentrate on continuum modellng of mechanical behavior of polymeric fluids under different flow conditions. The material covered in the course will be of interest to students in mechanical engineering, chemical engineering, materials science and bioengineering. 660. (MSE 660) Atomistic Modeling in Materials Science. Why and what to model: Complex lattice structures, structures of lattice defects, crystal surfaces, interfaces, liquids, linking structural studies with experimental observations, computer experiments. Methods: Molecular statics, molecular dynamics, Monte Carlo. Evaluation of physical quantities employing averages, fluctuations, correlations, autocorrelations, radial distribution function, etc. Total energy and interatomic forces: Local density functional theory and abinitio electronic structure calculations, tight-binding methods, empirical potentials for metals, semiconductors and ionic crystals.
L/R 662. (BE 662, CBE 618) Advanced Molecular Thermodynamics. (A) Review of classical thermodynamics. Phase and chemical equilibrium for multicomponent systems. Prediction of thermodynamic functions from molecular properties. Concepts in applied statistical mechanics. Modern theories of liquid mixtures. 663. Entropic Forms in Biomechanics. Prerequisite(s): Students will be expected to have knowledge of undergraduate thermodynamics, mechanics and physics. This course is targeted for engineering/physics students working in the areas of nano/bio technology. The course will start with a quick review of statistical mechanics and proceed to topics such as Langevin dynamics, solution biochemistry (Poisson-Boltzmann and Debye-Huckel theory), entropic elasticity of bio-polymers and networks, reaction rate kinetics, solid state physics and other areas of current technological relevance. Students will be expected to have knowledge of undergraduate mechanics, physics and thermodynamics.
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