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Journal Articles Structural Safety Year : 2016

Stochastic finite element analysis of plates with the Certain Generalized Stresses Method

Pascal Lardeur
Frédéric Druesne

Abstract

The Certain Generalized Stresses Method (CGSM) takes into account variability in static finite element analysis. The CGSM is dedicated to thin-walled structures: bars, beams, plates and shells. The objective of this paper is to present and evaluate a methodology based on the CGSM, for the static finite element analysis of plates with variability. The CGSM is a non-intrusive method that requires only one finite element analysis with some load cases to calculate the variability of mechanical quantities of interest. The statistical results: mean value, standard deviation and distribution are obtained by Monte Carlo simulations, using a semi-analytical formula. Two examples are treated: a square plate with a circular hole under tension and a simply supported square bending plate under uniformly distributed load. The method provides results of good quality and is very economical from a computational time point of view.
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Dates and versions

hal-01970244 , version 1 (04-01-2019)

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Mahyunirsyah Mahjudin, Pascal Lardeur, Frédéric Druesne, Irwan Katili. Stochastic finite element analysis of plates with the Certain Generalized Stresses Method. Structural Safety, 2016, 61, pp.12-21. ⟨10.1016/j.strusafe.2016.02.006⟩. ⟨hal-01970244⟩
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