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Communication dans un congrès

Reliability assessment using combination of polynomial chaos and simulations: application to nonlinear fracture mechanics

Abstract :

This paper presents a probabilistic approach based on polynomial chaos expansion, in order to provide accurate explicit approximation of the structural response to be considered in the limit state function. The main difficulties in this approach are related to the calculation of the expansion coefficients which are defined by multi-dimensional integrals. As an alternative to the quadrature methods, Monte-Carlo simulations based on low discrepancy Halton sequence have been used for this issue. The accuracy and the efficiency of the proposed approach have been approved through analytical models. It is shown that the use of low discrepancy sequence provides more rapidly converging estimates. The proposed approach has been applied to assess the integrity of a cracked pipe.

Type de document :
Communication dans un congrès
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https://hal.univ-angers.fr/hal-03285304
Contributeur : Okina Université d'Angers <>
Soumis le : mardi 13 juillet 2021 - 11:31:26
Dernière modification le : mercredi 14 juillet 2021 - 03:43:28

Identifiants

  • HAL Id : hal-03285304, version 1
  • OKINA : ua16361

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Citation

Hassen Riahi, Philippe Bressolette, Alaa Chateauneuf. Reliability assessment using combination of polynomial chaos and simulations: application to nonlinear fracture mechanics. 10th world congress on computational mechanics, 2012, Sâo Paulo, Brazil. ⟨hal-03285304⟩

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