非连续变形分析的MLS后处理方法

孙越; 冯象初; 肖俊; 王颖

doi:10.21656/1000-0887.370259

非连续变形分析的MLS后处理方法

doi: 10.21656/1000-0887.370259

¹西安电子科技大学数学与统计学院, 西安 710126;²中国科学院大学工程科学学院, 北京 100049

基金项目: 国家自然科学基金(61271294;61471338)

详细信息

作者简介:
孙越(1983—)，男，博士生(通讯作者. E-mail: yue_sun@163.com).

中图分类号: O242.1
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- 被引次数: 0
出版历程
- 收稿日期: 2016-08-24
- 修回日期: 2016-11-18
- 刊出日期: 2017-07-15

MLS-Based Postprocessing Procedure for Discontinuous Deformation Analysis

¹School of Mathematics and Statistics, Xidian University, Xi’an 710126, P.R.China;²School of Engineering Science, University of Chinese Academy of Sciences, Beijing 100049, P.R.China

Funds: The National Natural Science Foundation of China(61271294;61471338)

摘要

摘要: 非连续变形分析(discontinuous deformatrion analysis, DDA)通过引入虚拟节理网格将块体离散成子块体系统进行断裂扩展数值模拟.针对这种方法难以获得精确块体应力分布的问题, 提出一种基于无网格法移动最小二乘(moving least squares, MLS)插值的应力恢复算法.利用DDA计算得到的节点位移, 通过恰当构造MLS形函数及其导数, 推导了块体任意点应力的计算公式.数值算例将基于MLS后处理的结果与解析解及平均值法后处理结果进行比较, 验证了所提出方法的精确性和有效性.
- 无网格法 /
- 移动最小二乘插值 /
- 应力恢复 /
- 非连续变形分析 /
- 块体粘接模型
Abstract: The discontinuous deformation analysis (DDA) simulates fracture propagations by introducing fictitious joint meshes in blocks to generate sub-blocks. In order to obtain accurate stress distributions with this method, a stress recovery procedure was proposed based on the moving least squares (MLS) interpolation technique. With the MLS shape functions and their derivatives, the stress at any point within a block can be expressed by means of nodal displacements. Numerical examples were given to verify the accuracy and effectiveness of the proposed method. Comparison of the stress results between the analytical method, the averaging postprocessing method and the proposed MLS-based postprocessing procedure indicates that, the MLS-based stress recovery procedure is of high accuracy in providing more reliable block stress distributions.
- meshless method /
- moving least squares interpolation /
- stress recovery /
- discontinuous deformation analysis /
- bonding block model

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参考文献(20)

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