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基于滑动Kriging插值的MLPG法求解结构非耦合热应力问题

王峰 周宜红 郑保敬 林皋

王峰, 周宜红, 郑保敬, 林皋. 基于滑动Kriging插值的MLPG法求解结构非耦合热应力问题[J]. 应用数学和力学, 2016, 37(11): 1217-1227. doi: 10.21656/1000-0887.370189
引用本文: 王峰, 周宜红, 郑保敬, 林皋. 基于滑动Kriging插值的MLPG法求解结构非耦合热应力问题[J]. 应用数学和力学, 2016, 37(11): 1217-1227. doi: 10.21656/1000-0887.370189
WANG Feng, ZHOU Yi-hong, ZHENG Bao-jing, LIN Gao. A Meshless Local Petrov-Galerkin Method Based on theMoving Kriging Interpolation for Structural Uncoupled Thermal Stress Analysis[J]. Applied Mathematics and Mechanics, 2016, 37(11): 1217-1227. doi: 10.21656/1000-0887.370189
Citation: WANG Feng, ZHOU Yi-hong, ZHENG Bao-jing, LIN Gao. A Meshless Local Petrov-Galerkin Method Based on theMoving Kriging Interpolation for Structural Uncoupled Thermal Stress Analysis[J]. Applied Mathematics and Mechanics, 2016, 37(11): 1217-1227. doi: 10.21656/1000-0887.370189

基于滑动Kriging插值的MLPG法求解结构非耦合热应力问题

doi: 10.21656/1000-0887.370189
基金项目: 国家自然科学基金(51479103);国家自然科学基金青年科学基金(51109134);中国博士后科学基金(2013T60283)
详细信息
    作者简介:

    王峰(1987—),男,讲师,博士(通讯作者. E-mail: wangfeng@mail.dlut.edu.cn).

  • 中图分类号: O343.6

A Meshless Local Petrov-Galerkin Method Based on theMoving Kriging Interpolation for Structural Uncoupled Thermal Stress Analysis

Funds: The National Natural Science Foundation of China(51479103);The National Science Fund for Young Scholars of China(51109134);China Postdoctoral Science Foundation(2013T60283)
  • 摘要: 将基于滑动Kriging插值的无网格局部Petrov-Galerkin(MLPG)法用来求解二维结构非耦合热应力问题,首先进行瞬态热传导的求解,然后再通过顺序耦合法将不同时刻节点温度作为附加体力项施加到应力分析中.瞬态温度场和非耦合热应力分析通过加权余量法来离散,同时用Heaviside分段函数作为局部弱形式的权函数.由于滑动Kriging插值构造的形函数满足Kronecker δ函数的性质,因此方便了本质边界条件的施加.刚度矩阵形成过程中只涉及到边界积分而没有涉及到区域积分,因此可以减少计算工作量,最后通过两个数值算例来验证本文方法的有效性.
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出版历程
  • 收稿日期:  2016-06-14
  • 修回日期:  2016-08-30
  • 刊出日期:  2016-11-15

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