A hybridizable discontinuous Galerkin phase-field model for brittle fracture
Alba Muixí, Sonia Fernández‐Méndez, Antonio Rodríguez Ferran · Estudis Romànics (Institut d'Estudis Catalans) · 2018
EnglishPhase-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). catalaEls models phase-field per a fractura fragil descriuen les fractures com a zones danyades mitjancant un camp continu que varia abruptament entre els estats intacte i trencat. Per tal de capturar be la solucio, les malles han de ser fines a prop de la fractura. Presentem una formulacio Hybridizable Discontinuous Galerkin (HDG) per a un model phase-field quasi-estatic, basada en un esquema alternat a l’hora de resoldre el sistema. La motivacio per a utilitzar HDG es que permet implementar estrategies d’adaptabilitat de manera senzilla.