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Main Authors: Abbasi, Arefeh, Ricci, Maurizio, Carrara, Pietro, Flaschel, Moritz, Kumar, Siddhant, Marfia, Sonia, De Lorenzis, Laura
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2510.24747
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author Abbasi, Arefeh
Ricci, Maurizio
Carrara, Pietro
Flaschel, Moritz
Kumar, Siddhant
Marfia, Sonia
De Lorenzis, Laura
author_facet Abbasi, Arefeh
Ricci, Maurizio
Carrara, Pietro
Flaschel, Moritz
Kumar, Siddhant
Marfia, Sonia
De Lorenzis, Laura
contents We assess the performance of EUCLID, Efficient Unsupervised Constitutive Law Identification and Discovery, a recently proposed framework for automated discovery of constitutive laws, on experimental data. Mechanical tests are performed on natural rubber specimens spanning simple to complex geometries, from which we collect both global, force elongation, and local, full-field displacement, measurements. Using these data, we obtain constitutive laws via two routes, the conventional identification of unknown parameters in a priori selected material models, and EUCLID, which automates model selection and parameter identification within a unified model-discovery pipeline. We compare the two methodologies using global versus local data, analyze predictive accuracy, and examine generalization to unseen geometries. Moreover, we quantify the experimental noise, investigate the coverage of the material state space achieved by each approach and discuss the relative performance of different datasets and different a priori chosen models versus EUCLID.
format Preprint
id arxiv_https___arxiv_org_abs_2510_24747
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Discovery of Hyperelastic Constitutive Laws from Experimental Data with EUCLID
Abbasi, Arefeh
Ricci, Maurizio
Carrara, Pietro
Flaschel, Moritz
Kumar, Siddhant
Marfia, Sonia
De Lorenzis, Laura
Computational Physics
Materials Science
We assess the performance of EUCLID, Efficient Unsupervised Constitutive Law Identification and Discovery, a recently proposed framework for automated discovery of constitutive laws, on experimental data. Mechanical tests are performed on natural rubber specimens spanning simple to complex geometries, from which we collect both global, force elongation, and local, full-field displacement, measurements. Using these data, we obtain constitutive laws via two routes, the conventional identification of unknown parameters in a priori selected material models, and EUCLID, which automates model selection and parameter identification within a unified model-discovery pipeline. We compare the two methodologies using global versus local data, analyze predictive accuracy, and examine generalization to unseen geometries. Moreover, we quantify the experimental noise, investigate the coverage of the material state space achieved by each approach and discuss the relative performance of different datasets and different a priori chosen models versus EUCLID.
title Discovery of Hyperelastic Constitutive Laws from Experimental Data with EUCLID
topic Computational Physics
Materials Science
url https://arxiv.org/abs/2510.24747