A Bayesian estimation method for variational phase-field fracture problems

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • Amirreza Khodadadian
  • Nima Noii
  • Maryam Parvizi
  • Mostafa Abbaszadeh
  • Thomas Wick
  • Clemens Heitzinger

Organisationseinheiten

Externe Organisationen

  • Technische Universität Wien (TUW)
  • Amirkabir University of Technology
  • Arizona State University
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)827-849
Seitenumfang23
FachzeitschriftComputational mechanics
Jahrgang66
Ausgabenummer4
Frühes Online-Datum14 Juli 2020
PublikationsstatusVeröffentlicht - Okt. 2020

Abstract

In this work, we propose a parameter estimation framework for fracture propagation problems. The fracture problem is described by a phase-field method. Parameter estimation is realized with a Bayesian approach. Here, the focus is on uncertainties arising in the solid material parameters and the critical energy release rate. A reference value (obtained on a sufficiently refined mesh) as the replacement of measurement data will be chosen, and their posterior distribution is obtained. Due to time- and mesh dependencies of the problem, the computational costs can be high. Using Bayesian inversion, we solve the problem on a relatively coarse mesh and fit the parameters. In several numerical examples our proposed framework is substantiated and the obtained load-displacement curves, that are usually the target functions, are matched with the reference values.

ASJC Scopus Sachgebiete

Zitieren

A Bayesian estimation method for variational phase-field fracture problems. / Khodadadian, Amirreza; Noii, Nima; Parvizi, Maryam et al.
in: Computational mechanics, Jahrgang 66, Nr. 4, 10.2020, S. 827-849.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Khodadadian, A, Noii, N, Parvizi, M, Abbaszadeh, M, Wick, T & Heitzinger, C 2020, 'A Bayesian estimation method for variational phase-field fracture problems', Computational mechanics, Jg. 66, Nr. 4, S. 827-849. https://doi.org/10.1007/s00466-020-01876-4
Khodadadian, A., Noii, N., Parvizi, M., Abbaszadeh, M., Wick, T., & Heitzinger, C. (2020). A Bayesian estimation method for variational phase-field fracture problems. Computational mechanics, 66(4), 827-849. https://doi.org/10.1007/s00466-020-01876-4
Khodadadian A, Noii N, Parvizi M, Abbaszadeh M, Wick T, Heitzinger C. A Bayesian estimation method for variational phase-field fracture problems. Computational mechanics. 2020 Okt;66(4):827-849. Epub 2020 Jul 14. doi: 10.1007/s00466-020-01876-4
Khodadadian, Amirreza ; Noii, Nima ; Parvizi, Maryam et al. / A Bayesian estimation method for variational phase-field fracture problems. in: Computational mechanics. 2020 ; Jahrgang 66, Nr. 4. S. 827-849.
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AU - Parvizi, Maryam

AU - Abbaszadeh, Mostafa

AU - Wick, Thomas

AU - Heitzinger, Clemens

N1 - Funding Information: Open access funding provided by Austrian Science Fund (FWF). T. Wick and N. Noii have been financially supported by the German Research Foundation, Priority Program 1748 (DFG SPP 1748) in the subproject Structure Preserving Adaptive Enriched Galerkin Methods for Pressure-Driven 3D Fracture Phase-Field Models with the project No. 392587580. A. Khodadadian and C. Heitzinger acknowledge financial support by FWF (Austrian Science Fund) START Project no. Y660 PDE Models for Nanotechnology. M. Parvizi has been supported by FWF Project no. P28367-N35. Furthermore, the authors appreciate the useful comments given by the anonymous reviewers.

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KW - Brittle fracture

KW - Inverse problem

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