A hybridizable discontinuous Galerkin phase-field model for brittle fracture

• Alba Muixí ^[1] ; Sonia Fernández-Méndez ^[1] ; Antonio Rodríguez-Ferran ^[1]
  1. [1] Universitat Politècnica de Catalunya

     Universitat Politècnica de Catalunya

     Barcelona, España

     
• Localización: Reports@SCM: an electronic journal of the Societat Catalana de Matemàtiques, ISSN-e 2385-4227, Vol. 4, Nº. 1, 2018, págs. 31-42
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen
  • English

    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).

  • català

    Els models phase-field per a fractura fràgil descriuen les fractures com a zones danyades mitjançant un camp continu que varia abruptament entre els estats intacte i trencat. Per tal de capturar bé la solució, les malles han de ser fines a prop de la fractura. Presentem una formulació Hybridizable Discontinuous Galerkin (HDG) per a un model phase-field quasi-estàtic, basada en un esquema alternat a l’hora de resoldre el sistema. La motivació per a utilitzar HDG és que permet implementar estratègies d’adaptabilitat de manera senzilla.

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