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Biaxial characterization of soft elastomers: Experiments and data-adaptive configurational forces for fracture

Miguel Angel Moreno-Mateos Orcid Logo, Simon Wiesheier Orcid Logo, Ali Esmaeili, Mokarram Hossain Orcid Logo, Paul Steinmann Orcid Logo

Journal of the Mechanics and Physics of Solids, Volume: 205, Start page: 106339

Swansea University Authors: Ali Esmaeili, Mokarram Hossain Orcid Logo

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Abstract

Understanding the fracture mechanics of soft solids remains a fundamental challenge due to theircomplex, nonlinear responses under large deformations. While multiaxial loading is key to probingtheir mechanical behavior, the role of such loading in fracture processes is still poorly understood.Here,...

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Published in: Journal of the Mechanics and Physics of Solids
ISSN: 0022-5096
Published: Elsevier BV 2025
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URI: https://cronfa.swan.ac.uk/Record/cronfa70440
Abstract: Understanding the fracture mechanics of soft solids remains a fundamental challenge due to theircomplex, nonlinear responses under large deformations. While multiaxial loading is key to probingtheir mechanical behavior, the role of such loading in fracture processes is still poorly understood.Here, we present a combined experimental–computational framework to investigate fracture insoft elastomers under equi-biaxial loading. We report original equi-biaxial quasi-static experimentson five elastomeric materials, revealing a spectrum of material and fracture behavior—frombrittle-like to highly deformable response with crack tip strains exceeding 150%. Motivated bythese observations, we develop a hybrid computational testbed that mirrors the experimental setupand enables virtual biaxial tests. Central to this framework are two components: a data-adaptiveformulation of hyperelastic energy functions that flexibly captures material behavior, and a postprocessing implementation of the Configurational Force Method, providing a computationally efficient estimate of the J-integral at the crack tip. Our data-adaptive framework for hyperelasticenergy functions proves versatility to capture with high accuracy the hyperelastic behavior observedin the biaxial experiments. This is important because accurately capturing the constitutivebehaviour of soft solids is key for a reliable application of the Configurational Force Method to soft solids. In the limit of crack onset, a critical value of the crack tip configurational force allowsfor a criterion of fracture toughness. Together, our experimental, theoretical, and computationalcontributions offer a new paradigm for characterizing and designing soft materials with tailoredfracture properties.
Keywords: Finite strains; Data-driven constitutive modeling; Parameter identification; Material model discovery; Soft fracture; Configurational Force Method
College: Faculty of Science and Engineering
Funders: Miguel Angel Moreno-Mateos, Simon Wiesheier, and Paul Steinmann acknowledge support from the European Research Council (ERC)[http://dx.doi.org/10.13039/501100000781] under the Horizon Europe program (Grant -No. 101052785, project: SoftFrac). Funded by the European Union. Mokarram Hossain acknowledges support from the Engineering and Physical Sciences Research Council (EPSRC), United Kingdom under the grant (EP/Z535710/1) and Royal Society (UK) under the International Exchange Grant (IEC/NSFC/211316).
Start Page: 106339