Finite Element Simulation

The goal of this course is to introduce students to the finite element method as applied to one-, two-, and three-dimensional problems in engineering and applied science. This introduction is presented within the framework of linear elasticity and small perturbations in statics. Building on prerequisites in mathematics and solid mechanics, the principle of discretization is first addressed through the Ritz and Galerkin approaches for one-dimensional media. Next, the issue of numerical integration is addressed using Gauss’s method. Meshing and the validation of computational models are then discussed in the context of surface modeling with 2D elements. Finally, these concepts will be used to establish the complete formalism of the finite element method for bar and beam elements, followed by triangular elements. A practical application of these important theoretical concepts is carried out using industrial simulation software (ANSYS) during lab sessions and a project.

• To help students develop an understanding of the “mechanics” of the finite element method.
• To enable students to understand the finite element method as applied to linear problems.
• To train students to use various types of finite element software.
• Be able to use the finite element method to model and calculate simple structures and to critically analyze the results obtained.

- Course on Continuum Mechanics.

- Linear Algebra.