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A meshless adaptive multiscale method for fracture

Yang, Shih-Wei and Budarapu, Pattabhi R. and Mahapatra, D. Roy and Bordas, Stéphane P.A. and Zi, Goangseup and Rabczuk, Timon A meshless adaptive multiscale method for fracture. Computational Materials Science, 96, B. 382 - 395. ISSN 0927-0256 (2015)

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Abstract

Abstract The paper presents a multiscale method for crack propagation. The coarse region is modelled by the differential reproducing kernel particle method. Fracture in the coarse scale region is modelled with the Phantom node method. A molecular statics approach is employed in the fine scale where crack propagation is modelled naturally by breaking of bonds. The triangular lattice corresponds to the lattice structure of the (111)plane of an {FCC} crystal in the fine scale region. The Lennard–Jones potential is used to model the atom–atom interactions. The coupling between the coarse scale and fine scale is realized through ghost atoms. The ghost atom positions are interpolated from the coarse scale solution and enforced as boundary conditions on the fine scale. The fine scale region is adaptively refined and coarsened as the crack propagates. The centro symmetry parameter is used to detect the crack tip location. The method is implemented in two dimensions. The results are compared to pure atomistic simulations and show excellent agreement.

Item Type: Article
Additional Information: Special Issue Polymeric Composites
Uncontrolled Keywords: Meshless methods; Multiscale; Fracture; Molecular dynamics
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Research Area: Computer Science and Applications
Depositing User: Pattabhi Budarapu
Date Deposited: 27 Mar 2015 10:40
Last Modified: 27 Mar 2015 12:54
URI: http://eprints.imtlucca.it/id/eprint/2648

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