A hybridizable discontinuous Galerkin phase-field model for brittle fracture Autors/ores Alba Muixí Universitat Politècnica de Catalunya Sonia Fernández-Méndez Universitat Politècnica de Catalunya Antonio Rodríguez-Ferran Universitat Politècnica de Catalunya Paraules clau: phase-field, staggered scheme, brittle fracture, hybridizable discontinuous Galerkin (HDG). Resum Phase-field models for brittle fracture consider smeared representations of cracks, which are described by a continuous eld that varies abruptly in the transition zone between unbroken and broken states. Computationally, meshes have to be ne locally near the crack to capture the solution. We present a Hybridizable Discontinuous Galerkin (HDG) formulation for a quasi-static phase-field model, based on a staggered approach to solve the system. The use of HDG for this model is motivated by the suitability of the method for adaptivity.Keywords: phase-field, staggered scheme, brittle fracture, hybridizable discontinuous Galerkin (HDG). Descàrregues PDF (English) Com citar Muixí, A., Fernández-Méndez, S., & Rodríguez-Ferran, A. (2019). A hybridizable discontinuous Galerkin phase-field model for brittle fracture. Reports@SCM, 4(1), 31–42. Retrieved from https://revistes.iec.cat/index.php/reports/article/view/145800 Més formats de citació ACM ACS APA ABNT Chicago Harvard IEEE MLA Turabian Vancouver Descarregar citació Endnote/Zotero/Mendeley (RIS) BibTeX Número Vol. 4 Núm. 1 (2018) Secció Articles Llicència The intellectual property of articles belongs to the respective authors.On submitting articles for publication to the journal Reports@SCM, authors accept the following terms:Authors assign to Societat Catalana de Matemàtiques (a subsidiary of Institut d’Estudis Catalans) the rights of reproduction, communication to the public and distribution of the articles submitted for publication to Reports@SCM.Authors answer to Societat Catalana de Matemàtiques for the authorship and originality of submitted articles.Authors are responsible for obtaining permission for the reproduction of all graphic material included in articles.Societat Catalana de Matemàtiques declines all liability for the possible infringement of intellectual property rights by authors.The contents published in the journal, unless otherwise stated in the text or in the graphic material, are subject to a Creative Commons Attribution-NonCommercial-NoDerivs (by-nc-nd) 3.0 Spain licence, the complete text of which may be found at https://creativecommons.org/licenses/by-nc-nd/3.0/es/deed.en. Consequently, the general public is authorised to reproduce, distribute and communicate the work, provided that its authorship and the body publishing it are acknowledged, and that no commercial use and no derivative works are made of it.The journal Reports@SCM is not responsible for the ideas and opinions expressed by the authors of the published articles.