Active Learning of A Crystal Plasticity Flow Rule From Discrete Dislocation Dynamics Simulations

Fuente: arXiv
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Autori principali: Julian, Nicholas Huebner, Po, Giacomo, Martinez, Enrique, Mathew, Nithin, Perez, Danny
Natura: Preprint
Pubblicazione: 2025
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author Julian, Nicholas Huebner
Po, Giacomo
Martinez, Enrique
Mathew, Nithin
Perez, Danny
author_facet Julian, Nicholas Huebner
Po, Giacomo
Martinez, Enrique
Mathew, Nithin
Perez, Danny
contents Continuum-scale material deformation models, such as crystal plasticity, can significantly enhance their predictive accuracy by incorporating input from lower-scale (i.e., mesoscale) models. The procedure to generate and extract the relevant information is however typically complex and ad hoc, involving decision and intervention by domain experts, leading to long development times. In this study, we develop a principled approach for calibration of continuum-scale models using lower scale information by representing a crystal plasticity flow rule as a Gaussian process model. This representation allows for efficient parameter space exploration, guided by the uncertainty embedded in the model through a process known as Bayesian optimization. We demonstrate a semi-autonomous Bayesian optimization loop which instantiates discrete dislocation dynamics simulations whose initial conditions are automatically chosen to optimize the uncertainty of a model crystal plasticity flow rule. Our self-guided computational pipeline efficiently generated a dataset and corresponding model whose error, uncertainty, and physical feature sensitivities were validated with comparison to an independent dataset four times larger, demonstrating a valuable and efficient active learning implementation readily transferable to similar material systems.
format Preprint
id arxiv_https___arxiv_org_abs_2509_04788
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Active Learning of A Crystal Plasticity Flow Rule From Discrete Dislocation Dynamics Simulations
Julian, Nicholas Huebner
Po, Giacomo
Martinez, Enrique
Mathew, Nithin
Perez, Danny
Materials Science
Continuum-scale material deformation models, such as crystal plasticity, can significantly enhance their predictive accuracy by incorporating input from lower-scale (i.e., mesoscale) models. The procedure to generate and extract the relevant information is however typically complex and ad hoc, involving decision and intervention by domain experts, leading to long development times. In this study, we develop a principled approach for calibration of continuum-scale models using lower scale information by representing a crystal plasticity flow rule as a Gaussian process model. This representation allows for efficient parameter space exploration, guided by the uncertainty embedded in the model through a process known as Bayesian optimization. We demonstrate a semi-autonomous Bayesian optimization loop which instantiates discrete dislocation dynamics simulations whose initial conditions are automatically chosen to optimize the uncertainty of a model crystal plasticity flow rule. Our self-guided computational pipeline efficiently generated a dataset and corresponding model whose error, uncertainty, and physical feature sensitivities were validated with comparison to an independent dataset four times larger, demonstrating a valuable and efficient active learning implementation readily transferable to similar material systems.
title Active Learning of A Crystal Plasticity Flow Rule From Discrete Dislocation Dynamics Simulations
topic Materials Science
url https://arxiv.org/abs/2509.04788