The effect of ghost forces for a quasicontinuum method in three dimension
The effect of ghost forces for a quasicontinuum method in three dimension
复制标题
DOI：
10.1007/s11425-013-4726-6
复制
发表时间：
2013-10
期刊：
影响因子：
--
通讯作者：
Long Cui;P. Ming
中科院分区：
文献类型：
--
作者：
Long Cui;P. Ming
研究了具有平面界面的三维拟连续方法的“鬼力”效应。“鬼力”是在原子区和连续区之间的界面上准连续介质方法的不一致性。数值结果表明，“鬼力”可能导致解的不可约误差，但会导致解的梯度有限大小的误差。该误差具有层状轮廓，界面层宽度为Ofo(ɛ)。位移梯度的某些分量中的误差从远离界面的(1)(ɛ)开始以代数方式衰减。提出并分析了一个代理模型，该模型对“幽灵力量”的影响提出了同样的假设。我们的分析是基于代理模型的显式解。
We study the effect of “ghost forces” for a quasicontinuum method in three dimension with a planar interface. “Ghost forces” are the inconsistency of the quasicontinuum method across the interface between the atomistic region and the continuum region. Numerical results suggest that “ghost forces” may lead to a negilible error on the solution, while lead to a finite size error on the gradient of the solution. The error has a layer-like profile, and the interfacial layer width is ofO(ɛ). The error in certain component of the displacement gradient decays algebraically fromO(1) toO(ɛ) away from the interface. A surrogate model is proposed and analyzed, which suggests the same scenario for the effect of “ghost forces”. Our analysis is based on the explicit solution of the surrogate model.