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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Published in:International journal for numerical methods in engineering Vol. 102; no. 3-4; pp. 711 - 727
Main Authors: Li, Bin, Peco, Christian, Millán, Daniel, Arias, Irene, Arroyo, Marino
Format: Journal Article Publication
Language:English
Published: Bognor Regis Blackwell Publishing Ltd 20.04.2015
Wiley Subscription Services, Inc
John Wiley & Sons
Subjects:
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
Online Access:Get full text
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Summary: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.
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ISSN:0029-5981
1097-0207
DOI:10.1002/nme.4726