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2005-06 - Office of the Registrar - Duke University

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equivalent and undergraduate courses in solid and/or fluid mechanics. Instructor: Staff. 3<br />

units.<br />

203. Plasticity. Inelastic behavior <strong>of</strong> soils and engineering materials. Yield criteria. Flow<br />

rules. Concepts <strong>of</strong> perfect plasticity and plastic hardening. Methods <strong>of</strong> rigid-plasticity. Limit<br />

analysis. Isotropic and kinematic hardening. Plastic s<strong>of</strong>tening. Diffused damage. Thermoplasticity.<br />

Visco-plasticity. Prerequisite: Civil Engineering 201 or consent <strong>of</strong> instructor.<br />

Instructor: Hueckel. 3 units.<br />

204. Plates and Shells. Differential equation and extremum formulations <strong>of</strong> linear equilibrium<br />

problems <strong>of</strong> Kirchh<strong>of</strong>fian and non-Kirchh<strong>of</strong>fian plates <strong>of</strong> isotropic and aelotropic<br />

material. Solution methods. Differential equation formulation <strong>of</strong> thin aelotropic shell<br />

problems in curvilinear coordinates; membrane and bending <strong>the</strong>ories; specialization for<br />

shallow shells, shells <strong>of</strong> revolution, and plates. Extremum formulation <strong>of</strong> shell problems.<br />

Solution methods. Prerequisites: Engineering 75L or 135 and Ma<strong>the</strong>matics 108 and 111.<br />

Instructor: Staff. 3 units. C-L: Mechanical Engineering and Materials Science 204<br />

205. Mechanics <strong>of</strong> Composite Materials. Theory and application <strong>of</strong> effective medium, or<br />

homogenization, <strong>the</strong>ories to predict macroscopic properties <strong>of</strong> composite materials based on<br />

microstructural characterizations. Effective elasticity, <strong>the</strong>rmal expansion, moisture<br />

swelling, and transport properties, among o<strong>the</strong>rs, are presented along with associated bounds<br />

such as Voigt/Reuss and Hashin-Shtrikman. Specific <strong>the</strong>ories include Eshelby, Mori-<br />

Tanaka, Kuster-Toksoz, self-consistent, generalized self-consistent, differential method,<br />

and composite sphere and cylinder assemblages. Tensor-to-matrix mappings, orientational<br />

averaging, and texture analysis. Composite laminated plates, environmentally induced<br />

stresses, and failure <strong>the</strong>ories. Prerequisite: Civil Engineering 201 or consent <strong>of</strong> instructor.<br />

Instructor: Nadeau. 3 units.<br />

2<strong>06</strong>. Elasticity. 3 units. C-L: see Biomedical Engineering 2<strong>06</strong><br />

207. Transport Phenomena in Biological Systems. 3 units. C-L: see Biomedical<br />

Engineering 207; also C-L: Mechanical Engineering and Materials Science 207<br />

208. Environmental Transport Phenomena. Conservation principles in <strong>the</strong> atmosphere<br />

and bodies <strong>of</strong> water, fundamental equations for transport in <strong>the</strong> atmosphere and bodies <strong>of</strong><br />

water, scaling principles, simplification, turbulence, turbulent transport, Lagrangian<br />

transport, applications to transport <strong>of</strong> particles from volcanoes and stacks, case studies:<br />

volcanic eruption, Chernobyl accident, forest fires and Toms River power plant emission.<br />

Instructor: Avissar. 3 units.<br />

210. Intermediate Dynamics. 3 units. C-L: see Mechanical Engineering and Materials<br />

Science 210<br />

211. Energy Flow and Wave Propagation in Elastic Solids. Derivation <strong>of</strong> equations for<br />

wave motion in simple structural shapes: strings, longitudinal rods, beams and membranes,<br />

plates and shells. Solution techniques, analysis <strong>of</strong> systems behavior. Topics covered include:<br />

nondispersive and dispersive waves, multiple wave types (dilational, distortion), group<br />

velocity, impedance concepts including driving point impedances and moment impedances.<br />

Power and energy for different cases <strong>of</strong> wave propagation. Prerequisites: Engineering 123L<br />

and Ma<strong>the</strong>matics 107 or 111 or consent <strong>of</strong> instructor. Instructor: Franzoni. 3 units. C-L:<br />

Mechanical Engineering and Materials Science 234<br />

212. Fracture Mechanics. Theoretical concepts concerning <strong>the</strong> fracture and failure <strong>of</strong><br />

brittle and ductile materials. Orowan and Griffith approaches to strength. Determination <strong>of</strong><br />

stress intensity factors using compliance method, weight function method, and numerical<br />

methods with conservation laws. Cohesive zone models, fracture toughness, crack growth<br />

stability, and plasticity. Prerequisites: CE 201 or instructor consent. Instructor: Dolbow. 3<br />

units.<br />

225. Dynamic Engineering Hydrology. Dynamics <strong>of</strong> <strong>the</strong> occurrence, circulation, and<br />

distribution <strong>of</strong> water; climate, hydrometeorology, geophysical fluid motions. Precipitation,<br />

surface run<strong>of</strong>f and stream flow, infiltration, water losses. Hydrograph analysis, catchment<br />

134 Courses and Academic Programs

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