An explicit material point finite element method for hyper‐velocity impact
An explicit material point finite element method for hyper‐velocity impact
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DOI：
10.1002/nme.1579
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发表时间：
2006-04
影响因子：
2.9
通讯作者：
Xiong Zhang;K. Sze;S. Ma
中科院分区：
文献类型：
--
作者：
Xiong Zhang;K. Sze;S. Ma
本文提出了一种显式物点有限元方法，并开发了用于模拟超高速碰撞的计算机程序EMPFE-3D。材料域由有限元网格离散。动量方程在大变形区的预定义计算网格(如物质点法)上求解，而在其他地方则在有限元网格(如传统的有限元方法)上求解。网格可以在空间中固定，也可以以预定义的方式移动。栅格覆盖的节点被视为材质粒子，其余节点被视为FE节点。当网格为零时，该方法得到的结果与传统的有限元方法相同。另一方面，如果栅格在所有时间步长覆盖整个材质域，则它会产生与材质点方法相同的结果。该方法结合了欧拉和拉格朗日运动描述的优点，同时消除了它们因单元纠缠和数值耗散而造成的缺点。该方法计算效率高，可以很容易地在现有的显式有限元程序如DYNA3D中实现。版权所有©2005 John Wiley&Sons，Ltd.
In this paper, an explicit material point finite element (FE) method is proposed and a computer code EMPFE‐3D is developed for simulating hyper‐velocity impact. The material domain is discretized by a mesh of finite elements. The momentum equations are solved on a predefined computational grid (like the material point method) in the large deformation zone, and on the FE mesh (like the traditional FE method) elsewhere. The grid may be fixed in space or moved in a predefined way. The nodes covered by the grid are treated as material particles, and the remaining nodes are treated as FE nodes. The proposed method yields the same results as the traditional FE method if the grid vanishes. On the other hand, it yields the same results as the material point method if the grid covers the entire material domain at all time steps. The method combines the advantages of Eulerian and Lagrangian descriptions of motion while eliminates their drawbacks due to element entanglement and numerical dissipation. The method is computationally efficient and can be easily implemented in an existing explicit FE code like DYNA3D. Copyright © 2005 John Wiley & Sons, Ltd.