A meshless adaptive multiscale method for fracture
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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]
[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.
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[University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit]
