Resources

The department of Mechanical Engineering offers several courses in the areas of computational mechanics, dynamics and vibrations, fluid mechanics and solid mechanics. Following is an exhaustive list of courses offered by the department that would interest a student of mechanics.

At times, some of these courses are taught by our director, Dr. J. N. Reddy.

COMPUTATIONAL MECHANICS
MEEN 605 - Applied Finite Element Modeling
MEEN 644 - Numerical Heat Transfer and Fluid Flow
MEEN 654 - Boundary Elements
MEMA 646 - Introduction to the Finite Element Method
MEMA 647 - Theory of Finite Element Analysis
MEMA 648 - Nonlinear Finite Element Methods in Structural Mechanics

DYNAMICS AND VIBRATIONS
MEEN 613 - Engineering Dynamics
MEEN 617 - Mechanical Vibrations
MEEN 647 - Vibrations of Plates and Shells
MEEN 649 - Nonlinear Vibrations
MEEN 659 - Vibration Measurement in Rotating Machinery and Machine Structures
MEMA 650 - Dynamic Fluid-Solid Interactions

FLUID MECHANICS
MEEN 621 - Fluid Mechanics
MEEN 622 - Advanced Fluid Mechanics

MECHANICS
MEEN 620 - Experimental Stress Analysis
MEEN 623 - Applications of Engineering Fracture Mechanics
MEEN 635 - Structural Analysis of Composites
MEMA 601 - Theory of Elasticity
MEMA 602 - Continuum Mechanics
MEMA 605 - Energy Methods
MEMA 607 - Flow and Fracture of Polymeric Solids
MEMA 608 - Elasticity of Structural Elements
MEMA 611 - Fundamentals of Engineering Fracture Mechanics
MEMA 612 - Wave Propagation in Isotropic and Anisotropic Solids
MEMA 613 - Principles of Composite Materials
MEMA 625 - Micromechanics
MEMA 626 - Mechanics of Active Materials
MEMA 632 - Structural Stability
MEMA 633 - Theory of Plates and Shells
MEMA 640 - Theory of Shells
MEMA 641 - Plasticity Theory
MEMA 651 - Viscoelasticity of Solids and Structures I

MEEN 605. Applied Finite Element Modeling (3-0) Credit 3 . Emphasis on application of finite element methods for solving mechanical engineering design problems; review of basic theory of finite element methods; finite element formulations and computer implementation; practical problem solving using commercially available finite element codes; element selection and usage; effects of boundary conditions, constraints, and element integration order; convergence and error analysis; projects. Prerequisite: MEMA 646 or 647 or approval of instructor.

MEEN 644. Numerical Heat Transfer and Fluid Flow (3-0) Credit 3 . Convection-diffusion, up-wind, exponential, exact solution, power law schemes, false diffusion; staggered grid concept; development of SIMPLE and SIMPLER algorithms; periodically developed flows. Prerequisite: MEEN 461, 457; NUEN 430 or equivalent. Cross-listed with NUEN 644.

MEEN 654. Boundary Elements (3-0) Credit 3 . Boundary element analysis of 21 and 3D potential, elastostatic and elastodynamic problems; Green's and Somigliana's boundary formulas; weighted residual methods, Green's function, isoparametric boundary elements, recent developments and computer programming techniques. Prerequisite: MEMA646 or 647, or approval of instructor.

MEMA 646. Introduction to the Finite Element Method (3-0) Credit 3. Variational formulation for one-and two-dimensional problems; Ritz method, weighted residuals; time-dependent problems. Solution of one- and two-dimensional problems in solid mechanics, fluid flow, diffusion, heat transfer and magnetodynamics utilizing elementary finite element methods. Prerequisite: MATH 308.

MEMA 647. Theory of Finite Element Analysis (3-0) Credit 3. Finite elements of a continuum; virtual work principle; plane stress and plane strain; bending of plates; axi-symmetric stress analysis; three-dimensional stress analysis; isoparametric finite elements; recent developments; finite element computer program project; use of several finite element computer programs to solve typical structural problems. Prerequisite: MEMA 467 or equivalent; or approval of instructor.

MEMA 648. Nonlinear Finite Element Methods in Structural Mechanics (3-0) Credit 3 . Tensor definitions of stress and strain, finite strain, geometric and material nonlinearities; development of nonlinear finite element equations from virtual work; total and updated Lagrangian formula-tions; solution methods for nonlinear equations; computational considerations; applications using existing computer programs. Prerequisite: MEMA 647 or equivalent.

MEEN 613. Engineering Dynamics (3-0) Credit 3 . Three dimensional study of dynamics of particles and rigid bodies and application to engineering problems; introduction to Lagrange equations of motion and Hamilton's principle. Prerequisite: MATH 308, MEEN 334.

MEEN 617. Mechanical Vibrations (3-0) Credit 3 . Linear theory of vibrations of finite number of degree of freedom systems via Lagrange equations. Engineering applications. Prerequisite: MATH 308, MEEN 335.

MEEN 647. Vibrations of Plates and Shells (3-0) Credit 3 . Geometrics of the plate and the shell; concepts, formulation and methods of solution associated with vibrational problems concern-ing plates and shells; anisotropic media, variable thickness and implane forces. Prerequisite: MEEN 617 or equivalent.

MEEN 649. Nonlinear Vibrations (3-0) Credit 3 . Exact and approximate solutions to nonlinear differ-ential equations in mechanical vibrations; application of classical methods in nonlinear analysis such as the Method of Perturbations and Variation of Parameters; virtual Work Technique and the Modified Galerkin Method; applications to selected nonlinear problems. Prerequisite: A course in differential equations; graduate classification.

MEEN 659. Vibration Measurement in Rotating Machinery and Machine Structures (3-0) Credit 3 . Transducers, instruments, measurement techniques, data acquisition methods, data reduction methods for model analysis, applications to rotating machines, turbomachinery rotordynamics, bearings, gears and machine foundations Prerequisite: MEEN 459,617 or 639; graduate classification.

MEEN 650. Dynamic Fluid-Solid Interactions (3-0) Credit 3 . Dynamic interaction between fluid and solid systems with applications to space vehicles, nuclear reactors, heat exchangers and structures in general; hydroelasticity, hydrostatic divergence, flow induced vibrations, instability and compliant surfaces. Prerequisite: MATH 601 and 602 or approval of instructor.

MEEN 621. Fluid Mechanics (3-0) Credit 3 . Dynamics of two-dimensional incompressible and com-pressible fluids; viscous flow in laminar and turbulent layers, the Navier-Stokes equations, and boundary layer theory. Prerequisite: MEEN 344 or equivalent.

MEEN 622. Advanced Fluid Mechanics (3-0) Credit 3 . Laminar viscous flows; hydrodynamic stability; transition to turbulence; special topics include atomization, two-phase flows and non-linear theories. Prerequisite: MATH 601 or equivalent; MEEN 621 or equivalent.

MECHANICS

MEEN 620. Experimental Stress Analysis (2-3 ) Credit 3 . Modern methods for acquisition of interpre-tation of stress, strain, and displacement field data; electrical resistance strain gages, strain gage circuits and recording instruments; theory of polarized light, birefringence, and coherent optics; photoelasticity, Moire; Holography; Speckle; Electro-optics. Prerequisite: MEMA 601 or approval of instructor.

MEEN 623. Applications of Engineering Fracture Mechanics (3-0 ) Credit 3 . Introduction to elastic and elastic-plastic fracture mechanics including stress intensity, J-integral, crack tip opening displacement; emphasis on experimental aspects of fracture mechanics and design applica-tions using LEFM, CTOD (BP6493) and J-integral (R-6); micromechanics of fracture in metals and alloys, including relationship of microstructure to fracture toughness; fatigue, environ-mental cracking. Prerequisite: MEEN 340 or approval of instructor.

MEEN 635. Structural Analysis of Composites (3-0 ) Credit 3 . Analyze structural response of composite components; address vibrations, stability of anisotropic materials; discuss free-edge effects, impact and shear deformation; focus on numerical modelling of panels/shells with stiffeners, tubes and joints; provide examples and projects from industry. Prerequisite: MEMA 613. Cross-listed with MEMA 635.

MEMA 601. Theory of Elasticity (3-0 ) Credit 3 . Analysis of stress and strain in two and three dimensions, equilibrium and compatibility equations, strain energy methods, torsion of noncircular sections, flexure, axially symmetric problems. Prerequisite: MATH 601 or registration therein.

MEMA 602. Continuum Mechanics (3-0 ) Credit 3 . Development of field equations for analysis of aerospace solids and fluids; conservation laws; kinematics, constitutive behavior of solids and fluids, applications to aerospace engineering problems. Prerequisite: Graduate classification. Cross-listed with AERO 603.

MEMA 605. Energy Methods (3-0 ) Credit 3 . Principle of virtual work, Rayleigh-Ritz method, Galerkin method, minimum potential energy principles, variational principles, Reissner's Variational Theorem; applications to linear and nonlinear problems in mechanics. Prerequisite: MATH 601 or registration therein.

MEMA 607. Flow and Fracture of Polymeric Solids (3-0 ) Credit 3 . Relationship of molecular structure to flow and fracture in polymeric materials; introduction to viscoelastic fracture mechanics; micromechanisms of fracture including crazing; fatigue behavior of polymeric materials. Prerequisite: N/A.

MEMA 608. Elasticity of Structural Elements (3-0 ) Credit 3 . Torsion of cylindrical bodies and thin-walled sections. Beams: bending, shear and shear center, shear flow and shear-lag; isotropic and anisotropic plate theory: variational formulation, boundary conditions, stability and vibrations of plates; higher-order plate theories; thermal stresses. Prerequisite: MEMA 601 or registration therein.

MEMA 611. Fundamentals of Engineering Fracture Mechanics (3-0 ) Credit 3 . Understanding of the failure of structures containing cracks with emphasis on mechanics; linear elastic fracture mechanics, complex potentials of Muskhelishvili and Westergaard, J-integral, energy release rate, it-curve analysis, crack opening displacement, plane strain fracture toughness testing, fatigue crack propagation, fracture criteria, fracture of composite materials. Prerequisite: AERO 603 or MEMA 601.

MEMA 612. Wave Propagation in Isotropic and Anisotropic Solids (3-0 ) Credit 3 . Mathematical and experimental methods of studying stress waves with emphasis on a~ isotropic solids, e.g., fiber-reinforced composite materials; waves in an unbounded medium; in a half-space; in rods; waves in a general anisotropic medium; wave surface, slowness surface, velocity surface, energy velocity and group velocity. Prerequisite: AERO 603 or MEMA 601.

MEMA 613. Principles of Composite Materials (3-0 ) Credit 3 . Atomic, molecular, micro/macrostruc-ture with respect to physical and mechanical properties of composite materials; plastic, metallic and ceramic matrices reinforced with continuous and discontinuous fibers, whiskers and particulates, mechanical and chemical interactions, failure modes, interface, fabrication techniques and structural design concepts. Prerequisite: MEMA 601 or 602.

MEMA 625. Micromechanics (3-0 ) Credit 3 . Eigenstrains; inclusions, and inhomogeneities; Eshelby's solution for an ellipsoidal inclusion; Eshelby's equivalent inclusion method. Effective elastic properties of composites; composite spheres and cylinders models; bounds on effective moduli; Hashin-Shtrikman bounds. Applications to fiber, whisker and particulate reinforced composites. Introduction to micromechanics of inelastic composites and solids with damage. Prerequisite: MEMA 601 or 602.

MEMA 626. Mechanics of Active Materials (3-0 ) Credit 3 . Introduction to coupled field theories: Constitutive response of materials with thermal and electromagnetic coupling; microstruc-tural changes due to phase transformations; shape memory alloys; piezoelectric and magnetostrictive materials; active polymers and solutions. Micromechanics of active compos-ites. Prerequisite: MEMA 601 or 602.

MEMA 632. Structural Stability (3-0 ) Credit 3 . Buckling of columns, frames, arches, rings, plates, and shells, lateral and torsional buckling of beams, Newmark's method, equilibrium method, Rayleigh-Ritz, variational principles; Galerkin method, Treffetz method, review of current literature. Prerequisite: MATH 308; approval of instructor.

MEMA 633. Theory of Plates and Shells (3-0 ) Credit 3 . Small-deflection thin plate theory for plates of various shapes and support conditions, bending of anisotropic plates. Plates under combined lateral loads and in-plane forces. Large deflection thin plate theory, theory of shells, stability of plates and shells. Prerequisite: MATH 601 or registration therein.

MEMA 640. Theory of Shells (3-0 ) Credit 3 . Continuation of study of theory of shells introduced in MEMA 633; limited to study of linear shell theory; equations formulated using Lame's surface parametelis; membrane analysis, bending analysis and shallow shell theory. Prerequisite: MEMA 633.

MEMA 641. Plasticity Theory (3-0 ) Credit 3 . Theory of plastic yield and flow of two and three-dimensional bodies; classical plasticity theories, unified viscoplastic theories, numerical considerations; applications and comparisons of theory to experiment. Prerequisite: MATH 601 or registration therein.

MEMA 651. Viscoelasticity of Solids and Structures I (3-0 ) Credit 3 . Linear, visc, elastic mechanical property characterization methods, time-temperature equivalence, multiaxial stress-strain equations; viscoelastic stress analysis: the correspondence principle, approximate methods of analysis and Laplace transform inversion, special methods; static and dynamic engineering applications; nonlinear behavior. Prerequisite: Approval of instructor.