A probabilistic model for fast-to-evaluate 2D crack path prediction in heterogeneous materials

This paper is devoted to the construction of a new fast-to-evaluate model for the prediction of 2D crack paths in concrete-like microstructures. The model generates piecewise linear cracks paths with segmentation points selected using a Markov chain model. The Markov chain kernel involves local indi...

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Bibliographic Details
Published inarXiv.org
Main Authors Pele, Kathleen, Baccou, Jean, Daridon, Loïc, Liandrat, Jacques, Thibaut Le Gouic, Monerie, Yann, Péralès, Frédéric
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 06.01.2022
Subjects
Markov analysis
Markov chains
Path predictors
Probabilistic models
Segmentation
Two dimensional models
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Summary:This paper is devoted to the construction of a new fast-to-evaluate model for the prediction of 2D crack paths in concrete-like microstructures. The model generates piecewise linear cracks paths with segmentation points selected using a Markov chain model. The Markov chain kernel involves local indicators of mechanical interest and its parameters are learnt from numerical full-field 2D simulations of craking using a cohesive-volumetric finite element solver called XPER. The resulting model exhibits a drastic improvement of CPU time in comparison to simulations from XPER.
ISSN:2331-8422