Multi-dimensional moving least squares method applied to 3D elasticity problems
Multi-dimensional moving least squares method applied to 3D elasticity problems
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DOI：
10.1016/j.engstruct.2012.05.010
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发表时间：
2013-02
影响因子：
5.5
通讯作者：
Kohei Sakihara;H. Matsubara;Takaaki Edo;G. Yagawa
中科院分区：
文献类型：
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作者：
Kohei Sakihara;H. Matsubara;Takaaki Edo;G. Yagawa
本研究的目的是将“带约束条件的多维移动最小二乘方法（C-MultiMLS）”应用于弱形式的三维弹性问题。我们使用C-MultiMLS来定义旋转、应变和曲率，最终应该在联立线性方程中求解的自由度（DOF）仅包含位移DOF。该方法也适用于大规模的模拟。在这项研究中，所提出的方法在解决三维弹性体的精度证明在一些数值例子的解决方案。
The aim of this study is to apply the “Multi-dimensional Moving Least Square method with Constraint condition (C-MultiMLS)” to the 3D elasticity problems in a weak form. We define the rotations, strains, and curvatures by using the C-MultiMLS, the degrees of freedom (DOFs) that should be finally solved in the simultaneous linear equation contain only displacement DOFs. This method is suitable also for the large-scale simulations. In this study, the accuracy of the proposed method in solving 3D elastic bodies is demonstrated in the solution of some numerical examples.