Non-linear finite element analysis under mixed epistemic and aleatory uncertain random field input

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

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OriginalspracheEnglisch
Titel des SammelwerksProceedings of the 29th European Safety and Reliability Conference, ESREL 2019
Herausgeber/-innenMichael Beer, Enrico Zio
Seiten2693-2698
Seitenumfang6
ISBN (elektronisch)978-981-11-0745-0
PublikationsstatusVeröffentlicht - 2019
Veranstaltung29th European Safety and Reliability Conference, ESREL 2019 - Leibniz University Hannover, Hannover, Deutschland
Dauer: 22 Sept. 201926 Sept. 2019

Abstract

Within this work, a probability box approach is investigated to capture mixed aleatory and epistemic uncertainties within non-linear finite element method. The approach is applied to brittle damage problems regarding one and two input random fields. While random fields describe naturally aleatory uncertainty, the epistemic part is introduced by an interval-valued correlation length. The random field is discretized by Karhunen-Loève expansion. To avoid the truncation error affecting the probability box, the truncation error is kept constant with regard to the different assumed correlation lengths. Outcome of interest are the probability boxes of the local and the global damage of a four-point bending simulation of a concrete beam. It is shown that the correlation length mainly affects the standard deviation but not the mean value of the outcome. Furthermore, despite the non-linearity of the problem, it can be shown that the probability box is described by the correlation length interval bounds only for this example.

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Non-linear finite element analysis under mixed epistemic and aleatory uncertain random field input. / Dannert, Mona M.; Fleury, Rodolfo M. N.; Fau, Amelie et al.
Proceedings of the 29th European Safety and Reliability Conference, ESREL 2019. Hrsg. / Michael Beer; Enrico Zio. 2019. S. 2693-2698.

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

Dannert, MM, Fleury, RMN, Fau, A & Nackenhorst, U 2019, Non-linear finite element analysis under mixed epistemic and aleatory uncertain random field input. in M Beer & E Zio (Hrsg.), Proceedings of the 29th European Safety and Reliability Conference, ESREL 2019. S. 2693-2698, 29th European Safety and Reliability Conference, ESREL 2019, Hannover, Deutschland, 22 Sept. 2019. https://doi.org/10.3850/978-981-11-2724-3_0286-cd
Dannert, M. M., Fleury, R. M. N., Fau, A., & Nackenhorst, U. (2019). Non-linear finite element analysis under mixed epistemic and aleatory uncertain random field input. In M. Beer, & E. Zio (Hrsg.), Proceedings of the 29th European Safety and Reliability Conference, ESREL 2019 (S. 2693-2698) https://doi.org/10.3850/978-981-11-2724-3_0286-cd
Dannert MM, Fleury RMN, Fau A, Nackenhorst U. Non-linear finite element analysis under mixed epistemic and aleatory uncertain random field input. in Beer M, Zio E, Hrsg., Proceedings of the 29th European Safety and Reliability Conference, ESREL 2019. 2019. S. 2693-2698 doi: 10.3850/978-981-11-2724-3_0286-cd
Dannert, Mona M. ; Fleury, Rodolfo M. N. ; Fau, Amelie et al. / Non-linear finite element analysis under mixed epistemic and aleatory uncertain random field input. Proceedings of the 29th European Safety and Reliability Conference, ESREL 2019. Hrsg. / Michael Beer ; Enrico Zio. 2019. S. 2693-2698
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abstract = "Within this work, a probability box approach is investigated to capture mixed aleatory and epistemic uncertainties within non-linear finite element method. The approach is applied to brittle damage problems regarding one and two input random fields. While random fields describe naturally aleatory uncertainty, the epistemic part is introduced by an interval-valued correlation length. The random field is discretized by Karhunen-Lo{\`e}ve expansion. To avoid the truncation error affecting the probability box, the truncation error is kept constant with regard to the different assumed correlation lengths. Outcome of interest are the probability boxes of the local and the global damage of a four-point bending simulation of a concrete beam. It is shown that the correlation length mainly affects the standard deviation but not the mean value of the outcome. Furthermore, despite the non-linearity of the problem, it can be shown that the probability box is described by the correlation length interval bounds only for this example.",
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note = "Funding information: The demonstrated results arise from the project Sophisticated computational techniques for damage mechanics with mixed uncertain input fields (NA 330/12-1), a part of the Priority Programme SPP 1886. The funding by the German Research Foundation (DFG) is gratefully acknowledged.; 29th European Safety and Reliability Conference, ESREL 2019, ESREL 2019 ; Conference date: 22-09-2019 Through 26-09-2019",
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AU - Fleury, Rodolfo M. N.

AU - Fau, Amelie

AU - Nackenhorst, Udo

N1 - Funding information: The demonstrated results arise from the project Sophisticated computational techniques for damage mechanics with mixed uncertain input fields (NA 330/12-1), a part of the Priority Programme SPP 1886. The funding by the German Research Foundation (DFG) is gratefully acknowledged.

PY - 2019

Y1 - 2019

N2 - Within this work, a probability box approach is investigated to capture mixed aleatory and epistemic uncertainties within non-linear finite element method. The approach is applied to brittle damage problems regarding one and two input random fields. While random fields describe naturally aleatory uncertainty, the epistemic part is introduced by an interval-valued correlation length. The random field is discretized by Karhunen-Loève expansion. To avoid the truncation error affecting the probability box, the truncation error is kept constant with regard to the different assumed correlation lengths. Outcome of interest are the probability boxes of the local and the global damage of a four-point bending simulation of a concrete beam. It is shown that the correlation length mainly affects the standard deviation but not the mean value of the outcome. Furthermore, despite the non-linearity of the problem, it can be shown that the probability box is described by the correlation length interval bounds only for this example.

AB - Within this work, a probability box approach is investigated to capture mixed aleatory and epistemic uncertainties within non-linear finite element method. The approach is applied to brittle damage problems regarding one and two input random fields. While random fields describe naturally aleatory uncertainty, the epistemic part is introduced by an interval-valued correlation length. The random field is discretized by Karhunen-Loève expansion. To avoid the truncation error affecting the probability box, the truncation error is kept constant with regard to the different assumed correlation lengths. Outcome of interest are the probability boxes of the local and the global damage of a four-point bending simulation of a concrete beam. It is shown that the correlation length mainly affects the standard deviation but not the mean value of the outcome. Furthermore, despite the non-linearity of the problem, it can be shown that the probability box is described by the correlation length interval bounds only for this example.

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KW - Non-linear finite element method

KW - Probability bound analysis

KW - Random fields

KW - Uncertain correlation length

KW - Uncertainty quantification

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A2 - Zio, Enrico

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