The welding process produces strains and residual stresses that must be taken into
account to evaluate the final quality of the assembly. For that, the simulation of
the process by a thermomechanical computation is very widely used. Numerical simulation
uses many parameters (materials, heat source, boundary conditions) whose effects must
be studied. But as the compuation becoming very expensive, massive parametric studies
quickly become unusable. To reduce the computation time, we propose an approach based
on the spatial and temporal similarity of thermal results, by a method of hyper-reduction
on a slice of the domain.