Mechanics Courses

MEM 569 Introduction to Composite Materials I
Introduces anisotropic elasticity, lamina stiffness and compliance, plane-stress and plane-strain, stress-strain relations of a lamina, testing methods, engineering elastic constants, failure criteria, and micromechanics. (Y, F)

MEM 570 Introduction to Composite Materials II
Prerequisite: MEM 569. Covers laminated plate theory, stiffness and compliance of laminated plates, effect of laminate configuration on elastic performance, and review of research topics. (Y, W)

MEM 571 Introduction to Robot Technology
Prerequisite: permission of instructor. Covers robot configuration; components, actuators, and sensors; vision; and control, performance, and programming. Includes lectures and laboratory. (Y, F)

MEM 572 Mechanics of Robot Manipulators
Prerequisite: MEM 666 or permission of instructor. Covers homogeneous transformation, direct and inverse kinematic manipulators, velocities and acceleration, static forces, and manipulators' dynamics via Lagrange and Newton-Euler formulations. Includes lectures and laboratory. (Y, W)

MEM 573 Industrial Applications of Robots
Covers path planning and workspace determination, robot accuracy and repeatability measurements, robot call design, application engineering and manufacturing, material transfer, processing operations, and assembly and inspection. Includes lectures and laboratory. (Y, S)

MEM 574 Introduction to CAM
Examines the basic elements used to integrate design and manufacturing processes, including robotics, computerized-numerical controlled machines, and CAD/CAM systems. Covers manufacturability considerations when integrating unit process elements. (E, F)

MEM 660 Theory of Elasticity I
Prerequisite: MEM 663.  Summarizes mechanics of materials Courses. Covers vector and tensor analysis, indicial notation, theory of stress, equilibrium equations, displacements and small strains, compatibility, and strain energy; formulation of the governing equations and the appropriate boundary conditions in linear elasticity, and uniqueness of the solutions; elementary three-dimensional examples and two-dimensional theory; stress functions; solutions in Cartesian and polar coordinates; and Fourier series. (Y, F)

MEM 661 Theory of Elasticity II
Prerequisite: MEM660. Covers two dimensional problems by the method of Muskhelislivili, torsion problem, Stress function and solutions by means of complex variables and conformal mapping, three-dimensional solutions for straight beams, energy theorems, virtual work and their applications, and Rayleigh-Ritz method. (Y, W)

MEM 662 Theory of Elasticity III
Prerequisite: MEM 661. Covers use of Fourier series and Green's functions for plane problems; three-dimensional problems in terms of displacement potentials; use of the Galerkin vector and the Boussinesq-Papkovitch-Neuber functions; fundamental solutions to the Kelvin, Boussinesq, Cerruti, and Mindlin problems; and elastic contact. Introduces nonlinear elasticity. (Y, S)

MEM 663 Continuum Mechanics
Covers kinematics, Eulerian, and Lagrangian formulations of deformation; theory of stress; balance principles; continuum thermodynamics; and constitutive relations in fluids and solids. (Y, F)

MEM 664 Introduction to Plasticity
Prerequisite: MEM 660 Reviews stress and strain deviators, invariants and distortional energy, principal and octahedral stresses and strains, Tresca and von Mises yield criteria, yield surface and Haigh-Westergaard stress space, Lode's stress parameters, subsequent yield surface, Prandtl-Reuss relations, work hardening and strain hardening, stress-strain relations from Tresca criteria, incremental and deformation theories, the slip-line field, slip-line equations for stress, velocity equations and geometry of slip-line field, limit analysis, simple truss, bending of beams, lower and upper bound theorems, and plasticity equations in finite-element methods. (Y, W)

MEM 665 Time-Dependent Solid Mechanics
Prerequisites: MEM 660 or MEM 663. Part A: Covers elastodynamics, including plane, cylindrical, and spherical waves; characteristics; the acoustic tensor; polarizations and wave speeds; transmission and reflection at plane interfaces; critical angles and surface waves; and waveguides and dispersion relationships. Part B: Covers linear viscoelasticity, including relaxation modulus and creep compliance, hereditary integrals, Laplace transform, correspondence principle, creep buckling and vibrations, viscoplasticity, creep, strain-rate effects, shear bands, and shock waves. (Y, S)

MEM 666 Advanced Dynamics I
Covers analytical statics (principle of virtual work), Lagrange's equations, conservation laws, stability analysis by perturbation about steady state, Jacobi first integral, ignoration of coordinates, classification of constraints, solution of constrained dynamical problems by constraint embedding (elimination) or constraint adjoining (Lagrange multipliers), generalized impulse and momentum, and formulation and solution of non-holonomic systems. (Y, F)

MEM 667 Advanced Dynamics II
Prerequisite: MEM 666. Covers vector dynamics in three dimensions, including a detailed study of rotational kinematics, motion of the mass center and about the mass center for a system of particles and a rigid body, moments of inertia, three-dimensional dynamical problems, and comparison between Lagrangian techniques and the vector methods of Euler and Newton. Includes vibrations, Euler's angles, motion of a gyroscope, and motion of an axially symmetric body under no force other than its weight. (Y, W)

MEM 668 Advanced Dynamics III
Prerequisite: MEM 667. Covers central forces, effect of the earth's rotation, Foucault's pendulum, variational methods, Hamilton's principle, state space techniques for the integration of equations of motion, and numerical integration of equations of motion on microcomputers through the CSMP program. Depending on student interest, includes either Hamiltonian dynamics (canonical equations, contact transformations, Hamilton-Jacobi theory) or rigid body kinematics of complex dynamical systems. (Y, S)

MEM 669 Structural Mechanics
Prerequisite: Permission of Instructor. Covers statical determinacy and indeterminacy, force method, displacement method, flexibility and stiffness matrices, stiffness matrix of a prismatic bar, stiffness matrix of a prismatic beam, matrix structural analysis, work and strain energy, complementary work and complementary energy, principle of virtual work, unit load and unit displacement methods, Betti's and Maxwell's theorems, Castigliano's theorems, Engesser's theorem, principle of minimum potential energy, vibrations of bars and beams, and natural frequencies and natural modes. (R, S)

MEM 670 Theory of Plates and Shells
Covers elements of the classical plate theory, including analysis of circular and rectangular plates, combined lateral and direct loads, higher-order plate theories, the effects of transverse shear deformations, and rotatory inertia; matrix formulation in the derivation of general equations for shells; and membrane and bending theories for shells of revolution. (E, W)

MEM 681 Finite Element Methods I
Prerequisite: Permission of Instructor. Covers formulation of finite element methods for linear analysis of static and dynamic problems in solids, structures, fluid mechanics, heat transfer, and field problems; displacement-based, hybrid, and stress-based methods; variational and weighted residual approaches; effective computational procedures for .solution of finite element equations in static and dynamics analyses; and pre-processing and post-processing. (Y, F)

MEM 682 Finite Element Methods II
Prerequisite: MEM 681. Covers formulation of advanced finite element methods for non-linear analysis of static and dynamic problems in solids, structures, fluid mechanics, heat transfer, and field problems; material i)on-linearity; large displacement; large rotation; large strain; effective solution procedures for non-linear finite element equations in static and dynamic analyses; and effective finite element methods for eigenvalue problems. (Y, W)

MEM 683 Finite Element Methods III
Prerequisite: MEM 682. Covers computational aspects and computer implementation of finite element procedures, projects on finite element procedures in equilibrium, and time-dependent and eigenvalue problems. Includes project topics such as computer program development and implementation, theoretical development, and research application in linear and non-linear analyses. (R, S)

MEM 684 Mechanics of Biological Tissues
Covers composition and structure of tendons, ligaments, skin, and bone; bone mechanics and its application in orthopedics; viscoelasticity of soft biological tissues; models of soft biological tissues; mechanics of skeletal muscle; and muscle models and their applications. (Y, F)

MEM 685 Mechanics of Human Joints
Covers the structure of human joints, including experimental and analytical techniques in the study of human joint kinematics; applications to the design of artificial joints and to clinical diagnosis and treatments; stiffness characteristics of joints and their applications to joint injuries; and prosthetic design and graft replacements. (Y, W)

MEM 686 Mechanics of Human Motion
Examines experimental and analytical techniques in human motion analysis and human locomotion; interdeterminacy of muscle force distribution in human motion; modeling and simulation of bipedal locomotion; energetics, stability, control, and coordination of human motion; and pathological gait. (Y, S)

MEM 687 Manufacturing Processes I
Introduces basic manufacturing process technology and the mechanical properties of metals and plastics. Covers dimensional and geometry tolerancing; surface finishing; material removal processes and machine tools; processing of polymers and reinforced plastics, including general properties of plastic materials and forming, shaping, and processing of plastics; and CNC machining and programming. Combines lectures and laboratory work. (E, W)

MEM 688 Manufacturing Processes II
Prerequisite: MEM 687. Covers processing of polymers and reinforced plastics, including general properties of plastic materials and forming, shaping, and processing of plastics; CNC machining and programming; casting processes; sheet-metal forming processes; bulk deformation processes; and computer integrated manufacturing systems. (E, S)

MEM 689 Computer-Aided Manufacturing
Covers development of software and hardware for computer-aided manufacturing systems, basic elements used to integrate the manufacturing processes, and manufacturability studies (E, F)

MEM 760 Mechanics of Composite Materials I
Prerequisite: MEM 661. Covers anisotropic elastic moduli, stress-strain relations of a lamina, failure criteria of a lamina, introduction to micromechanics, laminated plate theory, residual stresses, and strength of laminates. (E, F)

MEM 761 Mechanics of Composite Materials II
Prerequisite: MEM 760. Covers anisotropic plates and shells, boundary value problem in anisotropic heterogeneous elasticity, vibrations and buckling of laminated plates, and testing methods. (E, W)

MEM 762 Mechanics of Composite Materials III
Prerequisite: MEM 761, Covers classical failure criteria for orthotropic materials, fracture in laminates, three-dimensional stress analysis, simulation of delamination and transverse cracks, fatigue damage. and cumulative damage models. (R, S)

MEM 765 Micromechanics of Materials
Prerequisite: MEM 661 or permission of instructor. Covers analysis of microstructure in multiphase materials, microstructure-property relations, mechanics of micro-deformation, equivalent macro-deformation properties, residual stress in the material phases, failure and damage at the micro scale, relations with phenomenological failures, and the concepts of finite structural cells and finite elements. (R, S)

MEM 771 Variational Methods in Mechanics
Prerequisite: MEM 661. Introduces calculus of variations. Covers principle of virtual work, variational principles of elasticity, approximate methods, torsion of bars, bending of beams and plates, other related variational principles, Hamilton's principle and dynamical problems, and application of variational principles of finite element methods. (R, S)

MEM 772 Plasticity in Manufacturing
Prerequisite: MEM 664. Covers simple upsetting in metal forming, anisotropic plasticity, indentation by a flat die, deep drawing of blanks, rolling, and finite-element solution of metal forming. (R, S)

MEM 777 Fracture Mechanics I
Prerequisite: MEM 661 or permission of instructor. Covers fundamental mechanics of fracture, including linear elastic crack mechanics, energetics, small-scale yielding, fully plastic crack mechanics, creep crack mechanics, fracture criteria, mixed mode fracture, stable quasi-static crack growth (fatigue crack growth and environmentally induced crack growth), toughness and toughening, and computational fracture mechanics. (O, S)

MEM 778 Fracture Mechanics II
Prerequisite: MEM 777. Covers advanced mechanics of fracture, including stationary and growing cracks in viscoelastic, plastic and creep ranges, dynamic crack propagation, micromechanics of fracture and fracture resistance at ambient and elevated temperatures, micromechanics of microstructural fracture processes, damage mechanics, and fracture of composite materials. (R, S)