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MNE 501: Advanced Engineering Mathematics
3.00 Credits
University of Massachusetts-Dartmouth
Prerequisites: EGR 301 or equivalent Ordinary differential equations: power series solutions; solutions to Legendre, Bessel, Hermite, associated Legendre, and Mathieu equations. Partial differential equations: separation of variables; transform methods; eigenvalues; Green’s function; solutions to elliptic, parabolic and hyperbolic equations.
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MNE 501 - Advanced Engineering Mathematics
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MNE 502: Applied Numerical Methods
3.00 Credits
University of Massachusetts-Dartmouth
Prerequisites: EGR 301 or equivalent An introduction to the tools of numerical analysis used in all areas of engineering study. Solution of linear systems and non-linear systems of equations. Numerical integration of functions ODE’s and PDE’s: differentiation, error control, stability and accuracy. Extensive programming in C is required.
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MNE 502 - Applied Numerical Methods
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MNE 503: Continuum Mechanics
3.00 Credits
University of Massachusetts-Dartmouth
Prerequisites: EGR 301 and MNE 252 or equivalents A comprehensive study of the fundamental principles of Continuum Mechanics. The following topics are covered: stress, strain, and strain rated tensors; Lagrangian and Eulerian descriptions; conservation laws; constitutive relations; Navier-Cauchy and Navier Stokes equations; Newtonian fluids.
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MNE 503 - Continuum Mechanics
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MNE 504: Advanced Mechanics of Fluids
3.00 Credits
University of Massachusetts-Dartmouth
Prerequisites: MNE 332 or equivalent Integral Transformation: Divergence Theorem; Stokes Theorem. Reynolds Transport Theorem. Navier-Stokes equations. Kelvin’s theorem. Vorticity Transport. Crocco’s Theorem. Viscous flow: boundary layers, buoyancy-driven flows.
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MNE 504 - Advanced Mechanics of Fluids
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MNE 510: Manufacturing Systmes Design
3.00 Credits
University of Massachusetts-Dartmouth
Advanced topics in manufacturing systems design and analysis with emphasis on the modeling and integration methodologies. Specific topics include production flow analysis, group technology, manufacturing cell design, material handling systems and automated guided vehicles, flexible manufacturing systems and systems evaluation. Team-oriented design projects using computer tools are required.
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MNE 510 - Manufacturing Systmes Design
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MNE 511: Theory of Elasticity
3.00 Credits
University of Massachusetts-Dartmouth
Basic field equations. Generalized Hooke’s law. General concepts of stress and strain. Equilibrium equations. Plane problems. Stress functions. Saint Venant torsion and flexure. Introduction to three-dimensional problems. Thermoelasticity. Anisotropic solutions.
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MNE 511 - Theory of Elasticity
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MNE 512: Plasticity and Metal Forming Theory
3.00 Credits
University of Massachusetts-Dartmouth
Prerequisites: MNE 503 or equivalent Tresca and von Mises yield criteria and their associated flow rules. Slip-line field theory and Geiringer velocity equations. Upper bound and lower bound theories. Application of the plasticity theories to rigid, perfectly-plastic bodies undergoing large plastic deformation in various metal forming processes such as wire drawing, extrusion, forging, deep drawing, etc.
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MNE 512 - Plasticity and Metal Forming Theory
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MNE 513: Theory of Plates and Shells
3.00 Credits
University of Massachusetts-Dartmouth
Prerequisites: EGR 242, Pre- or corequisite: MNE 503 Basic plate and shell equations; solutions of different shape plates. Application of cylindrical and spherical shell equations. Linear and non-linear situations. Plates on elastic foundations. Numerical solutions of plates and shells. Membrane theory.
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MNE 513 - Theory of Plates and Shells
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MNE 515: Finite Element Analysis
3.00 Credits
University of Massachusetts-Dartmouth
Prerequisites: MNE 485 or equivalent A broad study of the principles of Finite Element Analysis. The following topics are covered: energy methods; variational principles; element formulation; coordinate transformation; problems in dynamics, solids, and heat transfer; non-linear problems; numerical errors and convergence; computer modeling.
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MNE 515 - Finite Element Analysis
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MNE 516: Boundary Element Analysis
3.00 Credits
University of Massachusetts-Dartmouth
Applications of weighted residual concepts. Practical use of the boundary element method for various problems in engineering with an emphasis on solid mechanics. Linear and nonlinear problems. Transient and steady state dynamic problems. Diffusion problems. Wave propagation problems. Potential problems.
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MNE 516 - Boundary Element Analysis
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