# Teaching Activities

### Institut National des Sciences Appliquées (INSA) de Toulouse

**Department:** STPI (Sciences and technologies for the engineer)

**Level:** 2nd year (equiv. L2)

**Content:** Computer arithmetic and rounding errors, interpolation and approximation of functions, numerical integration, solving nonlinear equations, systems of linear equations, smoothing, least squares...

**Department:** STPI (Sciences and technologies for the engineer)

**Level:** 2nd year (equiv. L2)

**Content:**
Stress and Strain theories, constitutive law of linear elasticity, methods for solving the general problem of linear elasticity. Beam theory: definitions and general assumptions, geometric properties of beams (cross sections, average line), sections sollicitations (internal forces), study of the distributions of stresses, strains and displacements in the case of solicitations producing normal stresses (axial force, bending).

**Department:** STPI (Sciences and technologies for the engineer)

**Level:** 3rd year (equiv. L3)

**Content:** Analytical methods for solving elasticity problems. Special case of the Saint-Venant problem for shear of normal force and torsion of prismatic beams. Thermo-elasticity and applications to the heat of beams. Strain energy and work of forces applied to a structure. Energy theorems. Beams: simplified method for calculating stresses, strains and displacements, composed solicitations and hyperstatic problems.

**Department:** DGM (Mechanical engineering department)

**Level:** 4th year (equiv. M1)

**Content:** Principles of finite element analysis conducted with a reference commercial finite element code (Abaqus). Acquire a level of practical enough to independently achieve a higher level of expertise. Develop a practical study of a real case. Identify the features offered by these numerical tools and associated potentials. Creating relevant analysis models. Operating results. Evaluation of the performance. Analyze the impact of modeling assumptions. Assess the risks associated with a poor exploitation of the results.

**Department:** DGM (Mechanical engineering department)

**Level:** 4th year (equiv. M1)

**Content:** At the end of this module, students should have understood and can explain (main concepts) the methodology of a research work. The student will be able to do a bibliography on a research topic. Contribute to a given problem (eg perform a finite element analysis or a simulation of a mechanism operating on specialized software). Submit a report in the form of a scientific article for a research journal.

**Department:** GMM (Mathematical and modelling engineering department)

**Level:** 5th year (equiv. M2)

**Content:** Basics of nonlinear solid mechanics (unilateral contact and friction, plasticity, damage, fracture, large strain) and associated algorithms (contact, plasticity, XFEM). Application of FEM for solid mechanics. Use of a commercial software (ABAQUS)