[en] 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 (1 1 1) 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.
Disciplines :
Materials science & engineering
Author, co-author :
Yang, S.-W.; Institute of Structural Mechanics, Bauhaus University of WeimarWeimar, Germany, Department of Civil Engineering, National Cheng Kung University, Taiwan
Budarapu, P. R.; Institute of Structural Mechanics, Bauhaus University of WeimarWeimar, Germany, Department of Aerospace Engineering, Indian Institute of ScienceBangalore, India
Mahapatra, D. R.; Department of Aerospace Engineering, Indian Institute of ScienceBangalore, India
Bordas, Stéphane ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
Zi, G.; School of Civil, Environmental and Architectural Engineering, Korea University, South Korea
Rabczuk, T.; Institute of Structural Mechanics, Bauhaus University of WeimarWeimar, Germany, School of Civil, Environmental and Architectural Engineering, Korea University, South Korea
Title :
A meshless adaptive multiscale method for fracture
Publication date :
2015
Journal title :
Computational Materials Science
ISSN :
0927-0256
Publisher :
Elsevier
Volume :
96
Issue :
PB
Pages :
382-395
Peer reviewed :
Peer Reviewed verified by ORBi
Focus Area :
Computational Sciences
European Projects :
FP7 - 269149 - MULTIFRAC - Multiscale Methods for Fracture
