Parameter identification of two-time-scale nonlinear transient models

Guillaume Puel (1) , Denis Aubry (1)

1 MSSMat - Laboratoire de mécanique des sols, structures et matériaux

The aim of this paper is to study two-time-scale nonlinear transient models and their associated parameter identification. When it is possible to consider two well-separated time scales, and when the fast component of the applied loading is periodic, a periodic time homogenization scheme, similar to what exists in space homogenization, can be used to derive a homogenized model. A parameter identification process for this latter is then proposed, and applied to an academic example, which allows to show the benefits of such a strategy.

Mots clés: Inverse problem; Identification; Adjoint state; Time multiscale; Periodic homogenization

Domaines: Sciences de l'ingénieur [physics]

Guillaume Puel, Denis Aubry. Parameter identification of two-time-scale nonlinear transient models. Advanced Modeling and Simulation in Engineering Sciences, 2015, 2, ⟨10.1186/s40323-015-0030-z⟩. ⟨hal-01832555⟩