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

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UDC.coleccionInvestigación
UDC.departamentoMatemáticas
UDC.endPage503
UDC.grupoInvGrupo de Modelización e Resolución de Modelos (GMRM)
UDC.issue3
UDC.journalTitleMathematics and Mechanics of Solids
UDC.startPage493
UDC.volume2026
UDC.volume31
dc.contributor.authorCao Rial, María Teresa
dc.contributor.authorQuintela-Estévez, Peregrina
dc.date.accessioned2026-01-21T08:11:54Z
dc.date.available2026-01-21T08:11:54Z
dc.date.issued2026
dc.descriptionThis manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/. This version of the article: Cao-Rial M.T., Quintela P. A short note on obtaining the energy release rate for hyperelastic materials via configurational forces. Mathematics and Mechanics of Solids. 2026. https://doi.org/10.1177/10812865251401244 Copyright © 2025 Sage Publications, © The Author(s)
dc.description.abstract[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.
dc.description.sponsorshipFunding 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).
dc.description.sponsorshipXunta de Galicia; ED431C 2025/09
dc.identifier.citationCao-Rial M.T. & Quintela, P. A short note on obtaining the energy release rate for hyperelastic materials via configurational forces. Mathematics and Mechanics of Solids, 2026;31(3), 493–503. https://doi.org/10.1177/10812865251401244
dc.identifier.doi10.1177/10812865251401244
dc.identifier.urihttps://hdl.handle.net/2183/47005
dc.language.isoeng
dc.publisherSage
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2023-146841OB-I00/ES/DESARROLLO DE HERRAMIENTAS DE SIMULACION NUMERICA PARA LA MEJORA DE PROCESOS EN FABRICACION ADITIVA
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/H2020/823731
dc.relation.urihttps://doi.org/10.1177/10812865251401244
dc.rightsCopyright © 2025 Sage Publications, © The Author(s)
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectEnergy release rate
dc.subjectJ-integral
dc.subjectConfigurational forces
dc.subjectHyperelasticity
dc.subjectSt. Venant-Kirchhoff material
dc.subjectlinear elasticity
dc.titleA short note on obtaining the energy release rate for hyperelastic materials via configurational forces
dc.typejournal article
dc.type.hasVersionAM
dspace.entity.typePublication
relation.isAuthorOfPublication28985cc2-4413-4a00-b126-e828e722cce4
relation.isAuthorOfPublication.latestForDiscovery28985cc2-4413-4a00-b126-e828e722cce4

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