Optimizing the laser sintering of polymers for additive manufacturing requires thermomechanical modeling of this process. In our work, we are interested in the modeling and numerical simulation of the entire process in order to predict certain characteristics of the final parts, such as crystallinity and porosity as well as stresses and strains of thermal origin. Several physical phenomena are involved in a coupled manner in laser sintering. Its multi-physical couplings which make it possible to include the thermal history of the material and the thermal dependence of its properties during the modeling of its transformations (fusion, coalescence, densification, crystallization). Mechanics (constitutive law, stresses, strains) and metallurgy (composition of materials, crystallographic structure) are the dominant phenomena.