This course is centered on the description and formulation of common phenomena that condition the material behavior with hydraulic and thermal systems (turbine, pump, turbo-reactor,...) For each type of solicitations (thermo-elastic and visco-elastic) the formulation of the macroscopic behavior is presented. Thus, it is about defining very common phenomena that must be systematically integrated during system analysis. Finite element formulation is also presented, weak and strong formulation, matrix formulation for thermal and structural problems. The students will use a finite element sofware and different models for mechanical problems will be presented