A meshless adaptive multiscale method for fracture
A meshless adaptive multiscale method for fracture
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DOI：
10.1016/j.commatsci.2014.08.054
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发表时间：
2015
影响因子：
3.3
通讯作者：
Shih-Wei Yang;P. Budarapu;D. Roy Mahapatra;Stéphane P.A. Bordas;G. Zi;T. Rabczuk
中科院分区：
文献类型：
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作者：
Shih-Wei Yang;P. Budarapu;D. Roy Mahapatra;Stéphane P.A. Bordas;G. Zi;T. Rabczuk
本文提出了一种裂纹扩展的多尺度方法。粗区域采用差分再生核粒子法建模。粗尺度区域的断裂采用幻影节点法进行建模。在精细尺度上采用分子静力学方法，其中通过断裂键自然地模拟裂纹扩展。三角晶格对应于精细尺度区域中 FCC 晶体的 (1 1 1) 面的晶格结构。伦纳德-琼斯势用于模拟原子-原子相互作用。粗尺度和细尺度之间的耦合是通过鬼原子实现的。鬼原子位置是从粗尺度解插值得到的，并作为细尺度上的边界条件强制执行。随着裂纹的扩展，精细尺度区域会自适应地细化和粗化。中心对称参数用于检测裂纹尖端位置。该方法是在二维中实现的。结果与纯原子模拟进行了比较，显示出极好的一致性。
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.