A hybridizable discontinuous Galerkin phase-field model for brittle fracture

Authors

  • Alba Muixí Universitat Politècnica de Catalunya
  • Sonia Fernández-Méndez Universitat Politècnica de Catalunya
  • Antonio Rodríguez-Ferran Universitat Politècnica de Catalunya

Keywords:

phase-field, staggered scheme, brittle fracture, hybridizable discontinuous Galerkin (HDG).

Abstract

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).

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How to Cite

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

Issue

Vol. 4 No. 1 (2018)

Section

Articles

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