Seismic structural problems: damage prediction and its variability through PGD models

The response of a concrete structure to an accidental phenomenon, such as an earthquake, over a short time lapse, depends on uncertain parameters which values may have varied over the life of the structure. The goal of this work is to be able to compute the mechanical response for the whole sets of values of those parameters. On a mechanical point of view, one needs to compute the response of a family of structures (represented by a parametric problem), which may present a highly nonlinear behavior (model is detailed in [1]). The approach followed in this work consists in building virtual charts (similar to abaci) of solutions associated to the aforementioned parametric problem, using a two steps scheme : the first step is the (possibly expensive) computation of the abaci, for each set of parameters (offline step). The second step consists in a particularization of the solution for a given set of parameter values (online step), as part of an optimization study or dimensioning of a structure.