Phase-field modeling and simulation of fracture in brittle materials with strongly anisotropic surface energy

SummaryCrack propagation in brittle materials with anisotropic surface energy is important in applications involving single crystals, extruded polymers, or geological and organic materials. Furthermore, when this anisotropy is strong, the phenomenology of crack propagation becomes very rich, with fo...

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Podrobná bibliografie
Vydáno v:	International journal for numerical methods in engineering Ročník 102; číslo 3-4; s. 711 - 727
Hlavní autoři:	Li, Bin, Peco, Christian, Millán, Daniel, Arias, Irene, Arroyo, Marino
Médium:	Journal Article Publikace
Jazyk:	angličtina
Vydáno:	Bognor Regis Blackwell Publishing Ltd 20.04.2015 Wiley Subscription Services, Inc John Wiley & Sons
Témata:	65K Mathematical programming, optimization and variational techniques Anisotropy Anàlisi numèrica Brittle materials Computer simulation Crack propagation Elements finits, Mètode dels Finite element method fracture Fracture mechanics Galerkin methods local maximum entropy approximants Matemàtiques i estadística Mathematical models meshfree methods Mètodes en elements finits Numerical analysis phase-field models strongly anisotropic surface energy Surface energy Àrees temàtiques de la UPC
ISSN:	0029-5981, 1097-0207
On-line přístup:	Získat plný text
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Popis
Shrnutí:	SummaryCrack propagation in brittle materials with anisotropic surface energy is important in applications involving single crystals, extruded polymers, or geological and organic materials. Furthermore, when this anisotropy is strong, the phenomenology of crack propagation becomes very rich, with forbidden crack propagation directions or complex sawtooth crack patterns. This problem interrogates fundamental issues in fracture mechanics, including the principles behind the selection of crack direction. Here, we propose a variational phase‐field model for strongly anisotropic fracture, which resorts to the extended Cahn‐Hilliard framework proposed in the context of crystal growth. Previous phase‐field models for anisotropic fracture were formulated in a framework only allowing for weak anisotropy. We implement numerically our higher‐order phase‐field model with smooth local maximum entropy approximants in a direct Galerkin method. The numerical results exhibit all the features of strongly anisotropic fracture and reproduce strikingly well recent experimental observations. Copyright © 2014 John Wiley & Sons, Ltd.
Bibliografie:	ArticleID:NME4726 ark:/67375/WNG-P6BM5JQS-J istex:B70B500693E9005464995660336BF631B833869E ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 content type line 23
ISSN:	0029-5981 1097-0207
DOI:	10.1002/nme.4726