Floating stress‐point integration meshfree method for large deformation analysis of elastic and elastoplastic materials
Floating stress‐point integration meshfree method for large deformation analysis of elastic and elastoplastic materials
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DOI：
10.1002/nme.4321
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发表时间：
2012-10
影响因子：
2.9
通讯作者：
Y. Onishi;K. Amaya
中科院分区：
文献类型：
--
作者：
Y. Onishi;K. Amaya
针对弹性和弹塑性材料的大变形分析问题，提出了一种新的无网格法--浮动应力点积分方法。该方法是一种改进的拉格朗日方法和无背景网格的准隐式时间推进格式的Galerkin无网格法。它的新公式是基于从增量虚功方程导出的增量平衡方程，而增量虚功方程在无网格公式中并不常用。因此，这种技术可以自然地实现力学平衡的时间连续性。文中给出了新公式的详细内容和弹性和弹塑性材料大变形分析的几个算例，与有限元方法进行了比较，表明了该方法的有效性和准确性。版权所有©2012 John Wiley&Sons，Ltd.
A new meshfree formulation of stress‐point integration, called the floating stress‐point integration meshfree method, is proposed for the large deformation analysis of elastic and elastoplastic materials. This method is a Galerkin meshfree method with an updated Lagrangian procedure and a quasi‐implicit time‐advancing scheme without any background cell for domain integration. Its new formulation is based on incremental equilibrium equations derived from the incremental virtual work equation, which is not generally used in meshfree formulations. Hence, this technique allows the temporal continuity of the mechanical equilibrium to be naturally achieved. The details of the new formulation and several examples of the large deformation analysis of elastic and elastoplastic materials are presented to show the validity and accuracy of the proposed method in comparison with those of the finite element method. Copyright © 2012 John Wiley & Sons, Ltd.