Effect of the Young modulus variability on the mechanical behaviour of a nuclear containment vessel

Thomas Larrard (de); Jean-Baptiste Colliat; Farid BENBOUDJEMA; Jean-Michel Torrenti; Georges Nahas

HAL: hal-00542640, version 1

DOI: 10.1016/j.nucengdes.2010.09.031

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Effect of the Young modulus variability on the mechanical behaviour of a nuclear containment vessel
Larrard (de) T., Colliat J.-B., BENBOUDJEMA F., Torrenti J.-M., Nahas G.
Nuclear Engineering and Design (2010) 166 - 184 - http://hal.archives-ouvertes.fr/hal-00542640

Publication type:

Article in peer-reviewed journal

Subject:

Computer Science/Modeling and Simulation

Title:

Effect of the Young modulus variability on the mechanical behaviour of a nuclear containment vessel

Author(s):

Thomas Larrard (de) ¹, Jean-Baptiste Colliat (

) ¹, Farid BENBOUDJEMA ¹, Jean-Michel Torrenti ², Georges Nahas ³

Laboratory:

1:	Laboratoire de Mécanique et Technologie (LMT)

	http://www.lmt.ens-cachan.fr/

	CNRS : UMR8535 – Université Pierre et Marie Curie (UPMC) - Paris VI – École normale supérieure de Cachan - ENS Cachan

	Bât. Léonard de Vinci 61 Av du président Wilson 94235 CACHAN CEDEX

	France

2:	Département Matériaux (LCPC/MAT)

	http://www.lcpc.fr/

	LCPC – Université Paris-Est Créteil Val-de-Marne (UPEC)

	58 boulevard Lefebvre 75732 PARIS

	France

3:	Institut de radioprotection et de sûreté nucléaire (IRSN)

	http://www.irsn.org/

	Ministère de l'écologie de l'Energie, du Développement durable et de l'Aménagement du territoire – Ministère de l'économie, de l'industrie et de l'emploi – Ministère de l'Enseignement Supérieur et de la Recherche Scientifique – Ministère de la Défense – Ministère de la santé

	BP17 92262 Fontenay-aux-Roses Cedex

	France

Abstract:

This study aims at investigating the influence of the Young modulus variability on the mechanical behaviour of a nuclear containment vessel in case of a loss of cooling agent accident and under the assumption of an elastic behaviour. To achieve this investigation, the Monte-Carlo Method is carried out thanks to a middleware which encapsulates the different components (random field generation, FE simulations) and enables calculations parallelisation. The main goal is to quantify the uncertainty propagation by comparing the maximal values of outputs of interest (orthoradial stress and Mazars equivalent strain) for each realisation of the considered random field with the ones obtained from a reference calculation taking into account uniform field (equal to the expected value of the random field). The Young modulus is supposed to be accurately represented by a weakly homogeneous random field and realisations are provided through its truncated Karhunen–Loève expansion. This study reveals that the expected value for the maximal equivalent strain in the structure is more important when considering the Young modulus spatial variability than the value obtained from a deterministic approach with a uniform Young modulus field. The influence of the correlation length is investigated too. Finally it is shown that there is no correlation between the maximal values location of equivalent strain and the ones where the Young modulus extreme values are observed for each realisation.

Fulltext language:

English

Journal:

Nuclear Engineering and Design
Publisher	Elsevier
ISSN	0029-5493

Audience:

international

Publication date:

2010-12

Page, identifiant, ...:

166 - 184

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larrard_NED_2010.pdf

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hal-00542640, version 1
http://hal.archives-ouvertes.fr/hal-00542640
oai:hal.archives-ouvertes.fr:hal-00542640
From: Jean-Baptiste Colliat <>
Submitted on: Friday, 3 December 2010 10:09:42
Updated on: Friday, 3 December 2010 11:26:13