Etude du risque d'explosion d'un réservoir - Cadre et contribution du projet ANR Vulcain

National audienc

An efficient SFE method using Lagrange polynomials: Application to nonlinear mechanical problems with uncertain parameters

International audienc

Etude du risque d'explosion d'un réservoir - Cadre et contribution du projet ANR Vulcain

National audienc

SFE method using Hermite polynomials: An approach for solving nonlinear mechanical problems with uncertain parameters

International audienc

Etude du risque d'explosion d'un réservoir - Cadre et contribution du projet ANR Vulcain

National audienc

Sensitivity analysis of a bolted timber joint

cited By 0International audienc

Etude du risque d'explosion d'un réservoir - Cadre et contribution du projet ANR Vulcain

National audienc

SFE method using Hermite Polynomials: an approach for solving nonlinear problems with uncertain parameters

Abstract We propose a stochastic finite element method for nonlinear mechanical systems whose uncertain parameters can be modeled as random variables. This method is based on a Gaussian standardization of the problem and on an Hilbertian approximation of the nonlinear mechanical function using Hermite polynomials. The coefficients of the approximation are obtained using a cubic B-spline interpolation of the response function. It provides simple expressions of the response moments. Some of its possibilities are illustrated through four numerical examples concerning one linear problem and three nonlinear problems (elasto-plastic behaviors and contact problem) in which the random parameters are modeled as correlated lognormal random variables. The numerical results obtained attest the relevance of this approach

Influence of cement matrix porosity on the triaxial behaviour of concrete

cited By 8International audienc