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    • 3.00 Credits

      Mechanisms of fracture and crack growth; stress analysis; crack tip plastic zone; energy principles in fracture mechanics; fatigue-crack initiation and propagation; fracture mechanic design and fatigue life prediction. Analytical, numerical, and experimental methods for determination of stress intensity factors. Current topics in fracture mechanics.Registration Permission: Consent of instructor.
    • 3.00 Credits

      Fundamentals: thermochemistry, chemical kinetics and conservation equations; phenomenological approach to laminar flames; diffusion and premixed flame theory; single droplet combustion; deflagration and detonation theory; stabilization of combustion waves in laminar streams; flammability limits of premixed laminar flames; introduction to turbulent flames.(DE) Prerequisite(s): 522 and 541 or consent of instructor.
    • 3.00 Credits

      Application of basic principles of heat transfer, fluid mechanics, and thermodynamics to develop solution models for parametric analysis of thermal systems problems via commercial software.Recommended Background: 344.
    • 3.00 Credits

      Fundamental concepts of linear algebra to problems in engineering systems: steady state and dynamic systems. Geometric and physical interpretations of relevant concepts: least square problems, LU, QR, and SVD decompositions of system matrix, eigenvalue problems, and similarity transformations in solving difference and differential equations; numerical stability aspects of various algorithms; application of linear algebra concepts in control and optimization studies; introduction to linear programming. Computer projects.Cross-listed: (See Chemical and Biomolecular Engineering 529.)Comment(s): Graduate standing or consent of instructor required.
    • 3.00 Credits

      Fundamental aspects of small-scale mechanics and thermodynamics needed to understand properties and behavior of engineered nanoscale systems. Role of nanomechanics in the contemporary nanotechnology research. Essential practical tools used by engineers and researchers for the analysis and characterization of nanostructures, nanocomposite materials, and complex multiscale phenomena in solids and liquids.Recommended Background: 321 and 331.
    • 3.00 Credits

      Derivation of mathematical models of the human body using Kane’s Method of Dynamics to create system equations of motions. Mathematical models will pertain to human non-implanted and implanted joints. Models will be created by hand and using the symbolic manipulation algorithm Autolev.Cross-listed: (See Biomedical Engineering 531.)Recommended Background: Mechanical Engineering 231.
    • 3.00 Credits

      Kinematics and dynamics of particles in three dimensions. Rotating coordinate systems. Hamilton’s principle. Lagrange’s equations of motion. Kinematics and dynamics of rigid bodies.Cross-listed: (Same as Aerospace Engineering 533; Engineering Science 533.)Recommended Background: 391 or Mathematics 431 and an undergraduate vibrations course.
    • 3.00 Credits

      Vibrations of linear, discrete, undamped and damped systems. Lagrange's equations for holonomic systems. Modal analysis. Laplace transform. Response to mechanical transients.Cross-listed: (Same as Aerospace Engineering 535; Biomedical Engineering 534; Engineering Science 534.)Recommended Background: An undergraduate vibrations course.
    • 3.00 Credits

      Cartesian tensors, transformation laws, basic continuum mechanics concepts; stress, strain, deformation, constitutive equations. Conservation laws for mass, momentum, energy. Applications in solid and fluid mechanics.Cross-listed: (Same as Aerospace Engineering 536; Biomedical Engineering 536.)Registration Permission: Consent of instructor.
    • 3.00 Credits

      Classification of hyperbolic, parabolic, and elliptic partial differential equations (PDEs), types of PDE nonlinearity, method of characteristics, systems of conservation laws, shocks and rarefaction waves; Riemann solutions for linear hyperbolic PDEs; Dynamic solutions for Finite Difference (FD), Finite Volume (FV), and Finite Element Method (FEM); Modal analysis; Time marching schemes: explicit vs. implicit, single- vs. multi-stage, multi-step and sub-cycling, high order schemes; Stability, convergence, and consistency; Physical and numerical dispersion; von Neumann dispersion and dissipation analysis; Adaptivity in space (and time).Cross listed: (See: Aerospace Engineering 537.)(DE) Prerequisite(s): Undergraduate level numerical methods and differential equations, or consent of instructor.Recommended Background: Numerical analysis and differential equations.