A short note on obtaining the energy release rate for hyperelastic materials via configurational forces

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ISSN: 1081-2865
E-ISSN: 1741-3028

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Sage Publications
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Abstract

This work aims to derive an expression for the energy release rate for hyperelastic materials using the configurational force framework. As a specific example, the classical expression of the path independent J-integral for elastic materials undergoing small deformations will be derived

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This is the accepted version of the following article: Cao-Rial, M.T. & Quintela, P. (2025). A short note on obtaining the energy release rate for hyperelastic materials via configurational forces. Mathematics and Mechanics of Solids. Copyright © 2025, Sage Publications. DOI: 10.1177/10812865251401244

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Cao-Rial, M.T. & Quintela, P. (2025). A short note on obtaining the energy release rate for hyperelastic materials via configurational forces. Mathematics and Mechanics of Solids. https://doi.org/10.1177/10812865251401244

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The authors disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: This research was funded by grant PID2023-146841OB-I00 from Ministerio de Ciencia, Innovación y Universidades of Spain. The first author was also partially supported by grant PID2024-158035NB-100 from Ministerio de Ciencia, Innovación y Universidades of Spain and the European Union’s Horizon 2020 research and innovation programme, under the Marie Sklodowska-Curie Grant Agreement No. 823731 CONMECH. The second author received partial support from the Consellería de Educación, Ciencia, Universidades e Formación Profesional – Xunta de Galicia (ED431C 2025/09)

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Copyright © 2025, Sage Publications. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/