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. © 2020, The Author(s).
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Lizenzbestimmungen: | CC BY 4.0 Unported - https://creativecommons.org/licenses/by/4.0/ |
Publikationstyp: | Article |
Publikationsstatus: | publishedVersion |
Erstveröffentlichung: | 2020 |
Schlagwörter (englisch): | Bayesian estimation, Brittle fracture, Inverse problem, Multi-field problem, Phase-field propagation, Bayesian networks, Fracture, Mesh generation, Phase transitions, Bayesian approaches, Bayesian estimation methods, Computational costs, Critical energy release rate, Fracture propagation, Load-displacement curve, Phase field methods, Posterior distributions, Parameter estimation |
Fachliche Zuordnung (DDC): | 530 | Physik, 004 | Informatik |
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