TY  - JOUR
AV  - none
ID  - eprints2648
TI  - A meshless adaptive multiscale method for fracture 
UR  - http://www.sciencedirect.com/science/article/pii/S0927025614006168
KW  - Meshless methods;
Multiscale;
Fracture; Molecular dynamics 
VL  - 96, B
PB  - Elsevier
EP  -  395
SP  - 382 
A1  - Yang, Shih-Wei
A1  - Budarapu, Pattabhi R.
A1  - Mahapatra, D. Roy
A1  - Bordas, Stéphane P.A.
A1  - Zi, Goangseup
A1  - Rabczuk, Timon
N1  - Special Issue Polymeric Composites 
JF  - Computational Materials Science
N2  - 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. 
SN  - 0927-0256
Y1  - 2015/01//
ER  -