Christophe Desceliers

TL;DR: In this paper, the identification of probabilistic models of the random coefficients in stochastic boundary value problems (SBVP) is addressed, where the data used in the identification correspond to measurements of the displacement field along the boundary of domains subjected to specified external forcing and an inverse problem is formulated to calculate the corresponding, optimal realization of the coefficients of the unknown random field on the adapted basis.

TL;DR: In this paper, the probabilistic representation of a random field modelling the Young modulus of a nonhomogeneous isotropic elastic medium by experimental vibration tests was identified, based on the polynomial chaos decomposition.

TL;DR: A two-dimensional finite element time-domain method is derived to model transient wave propagation in a three-layer medium composed of an inhomogeneous transverse isotropic solid layer sandwiched between two acoustic fluid layers and excited by an acoustic linear source located in one fluid layer, delivering broadband ultrasonic pulses.

TL;DR: A two-dimensional finite element time-domain method is derived to model transient wave propagation in a three-layer medium composed of an inhomogeneous transverse isotropic viscoelastic solid layer, sandwiched between two viscous fluid layers.

TL;DR: In this paper, a non-parametric probabilistic model of random uncertainties for non-linear dynamical systems with random uncertainties is presented, where the nonlinearities are due to restoring forces whose parameters are uncertain.