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

Mahyunirsyah Mahjudin, Pascal Lardeur, Frédéric Druesne, Irwan Katili

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)12-21
Number of pages10
JournalStructural Safety
Volume61
DOIs
Publication statusPublished - 1 Jul 2016

Keywords

  • CGSM
  • Finite elements
  • Monte Carlo simulation
  • Non-intrusive
  • Plate
  • Probabilistic
  • Variability

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