Application of the spectral stochastic fininite element method to continuum damage modelling with softening behaviour

C.V. Verhoosel; M.A. Gutiérrez

Application of the spectral stochastic fininite element method to continuum damage modelling with softening behaviour

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

Abstract

Stochastic finite element methods (SFEM) are commonly used to investigate the influence of uncertainties on the response of linear solid mechanics problems. In this contribution a stochastic finite element method is applied to a continuum damage model, which is a non-linear solid mechanics problem. The influence of two sources of randomness is investigated. Numerical results show that applicability of spectral SFEM to the problem of non-linear solid mechanics is promising. However, discontinuities caused by loading conditions cannot yet be dealt with elegantly, which can put serious limitations on the applicability of the method.

Original language	English
Title of host publication	Proceedings of the 10th International Conference on Applications of Statistics and Probability in Civil Engineering (ICASP 10), 31 July - 3 August 2007, Tokyo, Japan
Editors	J. Kanda, T. Takada, H. Furuta
Place of Publication	Tokyo, Japan
Publisher	Taylor and Francis Ltd.
Pages	119-126
Publication status	Published - 2007

Cite this

Verhoosel, C. V., & Gutiérrez, M. A. (2007). Application of the spectral stochastic fininite element method to continuum damage modelling with softening behaviour. In J. Kanda, T. Takada, & H. Furuta (Eds.), Proceedings of the 10th International Conference on Applications of Statistics and Probability in Civil Engineering (ICASP 10), 31 July - 3 August 2007, Tokyo, Japan (pp. 119-126). Taylor and Francis Ltd..

Verhoosel, C.V. ; Gutiérrez, M.A. / Application of the spectral stochastic fininite element method to continuum damage modelling with softening behaviour. Proceedings of the 10th International Conference on Applications of Statistics and Probability in Civil Engineering (ICASP 10), 31 July - 3 August 2007, Tokyo, Japan. editor / J. Kanda ; T. Takada ; H. Furuta. Tokyo, Japan : Taylor and Francis Ltd., 2007. pp. 119-126

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abstract = "Stochastic finite element methods (SFEM) are commonly used to investigate the influence of uncertainties on the response of linear solid mechanics problems. In this contribution a stochastic finite element method is applied to a continuum damage model, which is a non-linear solid mechanics problem. The influence of two sources of randomness is investigated. Numerical results show that applicability of spectral SFEM to the problem of non-linear solid mechanics is promising. However, discontinuities caused by loading conditions cannot yet be dealt with elegantly, which can put serious limitations on the applicability of the method.",

author = "C.V. Verhoosel and M.A. Guti{\'e}rrez",

year = "2007",

language = "English",

pages = "119--126",

editor = "J. Kanda and T. Takada and H. Furuta",

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publisher = "Taylor and Francis Ltd.",

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Verhoosel, CV & Gutiérrez, MA 2007, Application of the spectral stochastic fininite element method to continuum damage modelling with softening behaviour. in J Kanda, T Takada & H Furuta (eds), Proceedings of the 10th International Conference on Applications of Statistics and Probability in Civil Engineering (ICASP 10), 31 July - 3 August 2007, Tokyo, Japan. Taylor and Francis Ltd., Tokyo, Japan, pp. 119-126.

Application of the spectral stochastic fininite element method to continuum damage modelling with softening behaviour. / Verhoosel, C.V.; Gutiérrez, M.A.
Proceedings of the 10th International Conference on Applications of Statistics and Probability in Civil Engineering (ICASP 10), 31 July - 3 August 2007, Tokyo, Japan. ed. / J. Kanda; T. Takada; H. Furuta. Tokyo, Japan: Taylor and Francis Ltd., 2007. p. 119-126.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Application of the spectral stochastic fininite element method to continuum damage modelling with softening behaviour

AU - Verhoosel, C.V.

AU - Gutiérrez, M.A.

PY - 2007

Y1 - 2007

N2 - Stochastic finite element methods (SFEM) are commonly used to investigate the influence of uncertainties on the response of linear solid mechanics problems. In this contribution a stochastic finite element method is applied to a continuum damage model, which is a non-linear solid mechanics problem. The influence of two sources of randomness is investigated. Numerical results show that applicability of spectral SFEM to the problem of non-linear solid mechanics is promising. However, discontinuities caused by loading conditions cannot yet be dealt with elegantly, which can put serious limitations on the applicability of the method.

AB - Stochastic finite element methods (SFEM) are commonly used to investigate the influence of uncertainties on the response of linear solid mechanics problems. In this contribution a stochastic finite element method is applied to a continuum damage model, which is a non-linear solid mechanics problem. The influence of two sources of randomness is investigated. Numerical results show that applicability of spectral SFEM to the problem of non-linear solid mechanics is promising. However, discontinuities caused by loading conditions cannot yet be dealt with elegantly, which can put serious limitations on the applicability of the method.

M3 - Conference contribution

SP - 119

EP - 126

BT - Proceedings of the 10th International Conference on Applications of Statistics and Probability in Civil Engineering (ICASP 10), 31 July - 3 August 2007, Tokyo, Japan

A2 - Kanda, J.

A2 - Takada, T.

A2 - Furuta, H.

PB - Taylor and Francis Ltd.

CY - Tokyo, Japan

ER -

Verhoosel CV, Gutiérrez MA. Application of the spectral stochastic fininite element method to continuum damage modelling with softening behaviour. In Kanda J, Takada T, Furuta H, editors, Proceedings of the 10th International Conference on Applications of Statistics and Probability in Civil Engineering (ICASP 10), 31 July - 3 August 2007, Tokyo, Japan. Tokyo, Japan: Taylor and Francis Ltd. 2007. p. 119-126

Application of the spectral stochastic fininite element method to continuum damage modelling with softening behaviour

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