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

arXiv: https://arxiv.org/abs/2112.13578 · HTML: https://mlsanity.com/paper/2112.13578/

## Key facts

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- First posted on arXiv 27 Dec 2021.

## Abstract (arXiv)

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.