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APMA 6995: Supervised Project Research
1.00 - 12.00 Credits
University of Virginia-Main Campus
Formal record of student commitment to project research under the guidance of a faculty advisor. May be repeated as necessary.
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APMA 6995 - Supervised Project Research
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APMA 7080: Inelastic Solid Mechanics
3.00 Credits
University of Virginia-Main Campus
Emphasizes the formulation of a variety of nonlinear models. Specific topics include nonlinear elasticity, creep, visco-elasticity, and elasto-plasticity. Solutions to boundary value problems of practical interest are presented in the context of these various theories in order to illustrate the differences in stress distributions caused by different types of material nonlinearities. Cross-listed as AM 708.
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APMA 7080 - Inelastic Solid Mechanics
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APMA 7140: Nonlinear Elasticity Theory
3.00 Credits
University of Virginia-Main Campus
This course describes the theory of finite (nonlinear) elasticity governing large deformations of highly deformable elastic solids. Both incompressible and compressible materials are considered. Also emphasized are instabilities (both material and geometric), normal stress effects, non-uniqueness, bifurcations and stress singularities. A variety of illustrative boundary-value problems are discussed which exhibit some of the foregoing features. Both physical and mathematical implications are considered. The results are applicable to rubber-like and biological materials and the theory serves as a prototype for more elaborate nonlinear theories of mechanics of continuous media. Cross listed as AM 714.
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APMA 7140 - Nonlinear Elasticity Theory
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APMA 7340: Numerical Solution of Partial Differential Equations
3.00 Credits
University of Virginia-Main Campus
Topics include the numerical solution of elliptic equations by finite element methods; solution of time dependent problems by finite element and finite difference methods; and stability and convergence results for the methods presented.
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APMA 7340 - Numerical Solution of Partial Differential Equations
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APMA 7548: Selected Topics in Applied Mathematics
3.00 Credits
University of Virginia-Main Campus
Content varies annually; topics may include wave propagation theory, shell theory, control theory, or advanced numerical analysis.
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APMA 7548 - Selected Topics in Applied Mathematics
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APMA 7670: Micromechanics of Heterogeneous Media
3.00 Credits
University of Virginia-Main Campus
Includes averaging principles; equivalent homogeneity; effective moduli; bounding principles; self-consistent schemes; composite spheres; concentric cylinders; three phase model; repeating cell models; inelastic and nonlinear effects; thermal effects; isotropic and anisotropic media; and strength and fracture. Cross-listed as AM 767, and CE 767.
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APMA 7670 - Micromechanics of Heterogeneous Media
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APMA 7720: Computational Fluid Dynamics II
3.00 Credits
University of Virginia-Main Campus
A continuation of APMA 672. More advanced methods for grid generation, transformation of governing equations for odd geometries, methods for compressible flows, methods for parabolic flows, calculations using vector and parallel computers. Use of personal computers/workstations/supercomputer including graphics. Cross-listed as MAE 772.
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APMA 7720 - Computational Fluid Dynamics II
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APMA 7993: Independent Study
1.00 - 12.00 Credits
University of Virginia-Main Campus
Detailed study of advanced graduate-level material on an independent basis under the guidance of a faculty member.
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APMA 7993 - Independent Study
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APMA 8548: Advanced Topics in Applied Mathematics
3.00 Credits
University of Virginia-Main Campus
Course content varies from year to year and depends on students’ interests and needs. See APMA 747 for possible topics.
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APMA 8548 - Advanced Topics in Applied Mathematics
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APMA 8897: Graduate Teaching Instruction
1.00 - 12.00 Credits
University of Virginia-Main Campus
For master’s students.
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APMA 8897 - Graduate Teaching Instruction
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