Fourth order phase-field model for local max-ent approximants applied to crack propagation
We apply a fourth order phase-field model for fracture based on local maximum entropy (LME) approximants. The higher order continuity of the meshfree LME approximants allows to directly solve the fourth order phase-field equations without splitting the fourth order differential equation into two sec...
| Autores: | , , , , |
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| Formato: | artículo |
| Fecha de publicación: | 2016 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/100372 |
| Acesso em linha: | https://hdl.handle.net/2117/100372 https://dx.doi.org/10.1016/j.cma.2016.02.011 |
| Access Level: | acceso abierto |
| Palavra-chave: | Fracture mechanics--Mathematical models Fourth order phase-field model Fracture Local maximum entropy Second order phase-field model Mecànica de fractura -- Models matemàtics Àrees temàtiques de la UPC::Enginyeria dels materials::Assaig de materials::Assaig de fractura |
| Resumo: | We apply a fourth order phase-field model for fracture based on local maximum entropy (LME) approximants. The higher order continuity of the meshfree LME approximants allows to directly solve the fourth order phase-field equations without splitting the fourth order differential equation into two second order differential equations. We will first show that the crack surface can be captured more accurately in the fourth order model. Furthermore, less nodes are needed for the fourth order model to resolve the crack path. Finally, we demonstrate the performance of the proposed meshfree fourth order phase-field formulation for 5 representative numerical examples. Computational results will be compared to analytical solutions within linear elastic fracture mechanics and experimental data for three-dimensional crack propagation. |
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