Material point method for crack propagation in anisotropic media: a phase field approach

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Kakouris, E.G. and Triantafyllou, S.P. (2018) Material point method for crack propagation in anisotropic media: a phase field approach. Archive of Applied Mechanics, 88 (1-2). pp. 287-316. ISSN 0939-1533

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Official URL: https://link.springer.com/article/10.1007%2Fs00419-017-1272-7

Abstract

A novel phase field formulation implemented within a material point method setting is developed to address brittle fracture simulation in anisotropic media. The case of strong anisotropy in the crack surface energy is treated by considering an appropriate variational, i.e., phase field approach. Material point method is utilized to efficiently treat the resulting coupled governing equations. The brittle fracture governing equations are defined at a set of Lagrangian material points and subsequently interpolated at the nodes of a fixed Eulerian mesh where solution is performed. As a result, the quality of the solution does not depend on the quality of the underlying finite element mesh and is relieved from mesh-distortion errors. The efficiency and validity of the proposed method is assessed through a set of benchmark problems.

Item Type:	Article
RIS ID:	https://nottingham-repository.worktribe.com/output/910118
Additional Information:	The final publication is available at Springer via http://dx.doi.org/ 10.1007/s00419-017-1272-7
Keywords:	Brittle fracture, Anisotropy,, Phase field Material point method
Schools/Departments:	University of Nottingham, UK > Faculty of Engineering
Identification Number:	doi: 10.1007/s00419-017-1272-7
Depositing User:	Eprints, Support
Date Deposited:	22 Jun 2017 10:58
Last Modified:	04 May 2020 19:30
URI:	https://eprints.nottingham.ac.uk/id/eprint/43715

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