A hybridizable discontinuous Galerkin phase-field model for brittle fracture with adaptive refinement
| Autor: | Sonia Fernández-Méndez, Alba Muixí, Antonio Rodríguez-Ferran |
|---|---|
| Přispěvatelé: | Universitat Politècnica de Catalunya. Doctorat en Matemàtica Aplicada, Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
phase-field modeling
Field (physics) Computer science Phase (waves) Matemàtiques i estadística::Matemàtica aplicada a les ciències [Àrees temàtiques de la UPC] 02 engineering and technology 01 natural sciences brittle fracture staggered scheme 0203 mechanical engineering Materials--Fatigue Discontinuous Galerkin method Applied mathematics 0101 mathematics 65 Numerical analysis::65L Ordinary differential equations [Classificació AMS] Difference equations--Numerical solutions 74 Mechanics of deformable solids::74R Fracture and damage [Classificació AMS] Numerical Analysis Adaptive refinement Applied Mathematics Numerical analysis Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics [Àrees temàtiques de la UPC] General Engineering adaptive refinement 010101 applied mathematics Materials--Fatiga 020303 mechanical engineering & transports hybridizable discontinuous Galerkin Brittle fracture |
| Zdroj: | UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) |
| Popis: | This is the peer reviewed version of the following article: Muixi, A.; Rodriguez-Ferran, A.; Fernandez, S. A hybridizable discontinuous Galerkin phase-field model for brittle fracture with adaptive refinement. "International journal for numerical methods in engineering", 30 Març 2020, vol. 121, núm. 6, p. 1147-1169, which has been published in final form at DOI: 10.1002/nme.6260. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving. In this paper, we propose an adaptive refinement strategy for phase-field models of brittle fracture, which is based on a novel hybridizable discontinuous Galerkin (HDG) formulation of the problem. The adaptive procedure considers standard elements and only one type of h-refined elements, dynamically located along the propagating cracks. Thanks to the weak imposition of interelement continuity in HDG methods, and in contrast with other existing adaptive approaches, hanging nodes or special transition elements are not needed, which simplifies the implementation. Various numerical experiments, including one branching test, show the accuracy, robustness, and applicability of the presented approach to quasistatic phase-field simulations. |
| Databáze: | OpenAIRE |
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