Mechanical Engineering
ME 5658: Continuum Mechanics
Lecture - 4 credits
ND
EI
IC
FQ
SI
AD
DD
ER
WF
WD
WI
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CE
- Covers the stresses, strains, and displacements in general continuous media.
- Topics include vector and tensor calculus; definitions of stress, strain, and deformation; kinematics of a continuous medium; material derivatives; rate of deformation tensor, finite strain, and deformation; Eulerian and Lagrangian formulations; geometric measures of strain; relative deformation gradient, rotation, and stretch tensors; compatibility conditions; general principles; conservation of mass; momentum principles; energy balance; constitutive theories of materials (i.e., heat conduction, fluid mechanics, elastic solids, nonlinear elasticity, inelastic deformation of solids); variational principles; introduction to the nonlinear finite element formulations for solids, such as nonlinearities in solid mechanics, governing equations (strong form and weak form), finite element approximation, Newton-Raphson method, Lagrangian finite elements (total and updated Lagrangian approaches), and solution procedure.
Covers the stresses, strains, and displacements in general continuous media. Show more.
Pre-requisites