ME 5658: Continuum Mechanics
Lecture - 4 credits
- 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.