A Bayesian estimation method for variational phase-field fracture problems

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 crit...

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Veröffentlicht in:Computational mechanics Jg. 66; H. 4; S. 827 - 849
Hauptverfasser: Khodadadian, Amirreza, Noii, Nima, Parvizi, Maryam, Abbaszadeh, Mostafa, Wick, Thomas, Heitzinger, Clemens
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2020
Springer
Schlagworte:
Classical and Continuum Physics
Computational Science and Engineering
Engineering
Original Paper
Theoretical and Applied Mechanics
Bayesian estimation
Multi-field problem
Phase-field propagation
Brittle fracture
Inverse problem
ISSN:0178-7675, 1432-0924
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Zusammenfassung: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.
Bibliographie:ObjectType-Article-1
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ISSN:0178-7675
1432-0924
DOI:10.1007/s00466-020-01876-4