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MECH 5120: Methods of Engineering Analysis
3.00 Credits
University of Colorado Denver
Selected topics from real analyses with applications to engineering analyses. Topics include vector calculus, ordinary differential equations, partial differential equations and calculus of variations. Prereq: Graduate standing or permission of instructor. Cross-listed with MECH 4120.
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MECH 5120 - Methods of Engineering Analysis
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MECH 5121: Introduction to Fluid Dynamics
3.00 Credits
University of Colorado Denver
Physical properties of gases and liquids; kinematics of flow fields; equations describing viscous, heat-conducting Newtonian fluids. Exact solutions and rational approximations for low- and high-speed dissipative flows, surface and internal waves, acoustics, stability, and potential flows. Prereq: Graduate standing or permission of instructor.
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MECH 5121 - Introduction to Fluid Dynamics
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MECH 5122: Macroscopic Thermodynamics
3.00 Credits
University of Colorado Denver
Axiomatic presentation of fundamentals of classical thermodynamics (first law); energy, work and heat. Equilibrium, reversible, and irreversible processes; entropy production and the second law. Applications to stability and phase equilibrium. Irreversible thermodynamics and the Onsager reciprocal relations. Prereq: graduate standing or permission of instructor.
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MECH 5122 - Macroscopic Thermodynamics
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MECH 5123: Introduction to Continuum Mechanics
3.00 Credits
University of Colorado Denver
Cartesian tensor notation. Deformation, strain, strain rate and compatibility. Definition of stress vector and tensor. Fundamental balance laws of mass, momentum and energy; entropy production inequality. Constitutive equations for elastic, viscoelastic and plastic materials; ideal, compressible, and viscous fluids. Beltrami-Mitchell and Navier-Stokes equations. Prereq: graduate standing or permission of instructor.
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MECH 5123 - Introduction to Continuum Mechanics
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MECH 5124: Yield-Limited Behavior of Materials
3.00 Credits
University of Colorado Denver
Analysis of material behavior within the “elastic range,” with emphasis on the phenomenon of yield and factors that influence it. Examination of the theory of dislocations; study of strengthening mechanisms in solids. Consideration of various time-dependent but reversible (inelastic) deformation phenomena. Presentation of appropriate engineering case studies to augment various topics. Prereq: MECH 5143.
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MECH 5124 - Yield-Limited Behavior of Materials
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MECH 5133: Theory of Inelastic Materials
3.00 Credits
University of Colorado Denver
Mathematical theory of linear viscoelasticity. Finite elements models. Solution of boundary-value problems in linear viscoelasticity. Non-Newtonian flow. Selected topics in nonlinear material behavior. Prereq: MECH 5143 or permission of instructor.
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MECH 5133 - Theory of Inelastic Materials
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MECH 5141: Viscous Flow
3.00 Credits
University of Colorado Denver
Viscous incompressible fluid flows. Topics include derivation of equations governing viscous compressible fluid motion; specializations to simple flows; boundary-layer theory; similarity solutions; introduction to turbulence and Reynolds stresses. Prereq: graduate standing or permission of instructor. Cross-listed with MECH 4141.
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MECH 5141 - Viscous Flow
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MECH 5142: Statistical Thermodynamics
3.00 Credits
University of Colorado Denver
Introduces the molecular interpretation and calculation of thermodynamic properties of matter, thermodynamic probability, distribution functions, Schrodinger wave equations and solutions and ensemble theory. Applications to ideal and real gases, solids, liquids, radiation, conduction electrons, and chemical equilibrium. Prereq: graduate standing or permission of instructor.
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MECH 5142 - Statistical Thermodynamics
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MECH 5143: Theory of Elasticity
3.00 Credits
University of Colorado Denver
Review of the basic equations of linear theory of elasticity. St. Venant torsion and flexure. Plane strain, plane stress, and generalized plane stress. Application of conformal mapping and Fourier transform techniques. Prereq: graduate standing or permission of instructor.
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MECH 5143 - Theory of Elasticity
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MECH 5144: Plasticity and Creep
3.00 Credits
University of Colorado Denver
Inelastic deformation of materials such as metals, alloys, glasses, composites and polymers from the phenomenological and structural point of view. Case studies of plastic and creep deformations in engineering materials. Prereq: MECH 5143.
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MECH 5144 - Plasticity and Creep
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