Data-driven discovery of interpretable causal relations for deep learning material laws with uncertainty propagation

نویسندگان

چکیده

This paper presents a computational framework that generates ensemble predictive mechanics models with uncertainty quantification (UQ). We first develop causal discovery algorithm to infer relations among time-history data measured during each representative volume element (RVE) simulation through directed acyclic graph. With multiple plausible sets of relationships estimated from RVE simulations, the predictions are propagated in derived graph while using deep neural network equipped dropout layers as Bayesian approximation for UQ. select two numerical examples (traction-separation laws frictional interfaces, elastoplasticity granular assembles) examine accuracy and robustness proposed method common material law civil engineering applications.

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ژورنال

عنوان ژورنال: Granular Matter

سال: 2021

ISSN: ['1434-5021', '1434-7636']

DOI: https://doi.org/10.1007/s10035-021-01137-y