Reference : An Adaptive Multiscale Method for Quasi-static Crack Growth |
Scientific journals : Article | |||
Engineering, computing & technology : Mechanical engineering | |||
Computational Sciences | |||
http://hdl.handle.net/10993/11890 | |||
An Adaptive Multiscale Method for Quasi-static Crack Growth | |
English | |
Pattabhi, Budarapu ![]() | |
Robert, Gracie ![]() | |
Bordas, Stéphane ![]() | |
Timon, Rabczuk ![]() | |
2013 | |
Computational Mechanics | |
Springer Science & Business Media B.V. | |
Yes (verified by ORBilu) | |
International | |
0178-7675 | |
New York | |
NY | |
[en] multiscale ; adaptivity ; refinement | |
[en] This paper proposes an adaptive atomistic-continuum numerical method for quasi-static
<br />crack growth. The phantom node method is used to model the crack in the continuum region <br />and a molecular statics model is used near the crack tip. To ensure self-consistency in the bulk, <br />a virtual atom cluster is used to model the material of the coarse scale. The coupling between <br />the coarse scale and ne scale is realized through ghost atoms. The ghost atom positions are <br />interpolated from the coarse scale solution and enforced as boundary conditions on the ne <br />scale. The ne scale region is adaptively enlarged as the crack propagates and the region behind <br />the crack tip is adaptively coarsened. An energy criterion is used to detect the crack tip loca- <br />tion. The triangular lattice in the ne scale region corresponds to the lattice structure of the <br />(111) plane of an FCC crystal. The Lennard-Jones potential is used to model the atom-atom <br />interactions. The method is implemented in two dimensions. The results are compared to pure <br />atomistic simulations; they show excellent agreement. | |
Researchers ; Professionals ; Students ; Others | |
http://hdl.handle.net/10993/11890 | |
10.1007/s00466-013-0952-6 | |
FP7 ; 279578 - REALTCUT - Towards real time multiscale simulation of cutting in non-linear materials with applications to surgical simulation and computer guided surgery |
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