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MECH_ENG 495: Advanced Computational Methods in Solid Mechanics

Description

A number of powerful FE packages (ABAQUS, COMSOL, FEniCS, …) offer the possibility to solve complex problems (material/structural nonlinearities, multiphysics, …). The different computational methods implemented in these software tend to be mostly targeted to engineering problems faced by a significant part of the engineering community (crack propagation, …). These packages may also offer different levels of flexibility to allow their users to address very specific problems of their interest (non-classical material behavior/finite element discretization, remeshing capability, …). This added flexibility and generality in using these powerful analysis tools may however lead to implementation and usage challenges for the user.

The course will cover on a different number of advanced computational methods in solid mechanics available to the user in FE packages. The course will include code-writing projects (ABAQUS subroutines UHYPER, UMAT, VISCO, UEL, …) and software usage to address challenging problems (computational multiscale homogenization, eigenvalue analysis, contact, …) as well as typical challenges faced when solving highly nonlinear problems (convergence issues, mesh distortion, …).