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基于光滑扩展有限元的平板裂纹参数不确定性反求

张利轩 卿宏军 胡德安

张利轩, 卿宏军, 胡德安. 基于光滑扩展有限元的平板裂纹参数不确定性反求[J]. 应用数学和力学, 2016, 37(1): 60-72. doi: 10.3879/j.issn.1000-0887.2016.01.005
引用本文: 张利轩, 卿宏军, 胡德安. 基于光滑扩展有限元的平板裂纹参数不确定性反求[J]. 应用数学和力学, 2016, 37(1): 60-72. doi: 10.3879/j.issn.1000-0887.2016.01.005
ZHANG Li-xuan, QING Hong-jun, HU De-an. Uncertain Inversion of Crack Parameters for Plates Based on the SmXFEM[J]. Applied Mathematics and Mechanics, 2016, 37(1): 60-72. doi: 10.3879/j.issn.1000-0887.2016.01.005
Citation: ZHANG Li-xuan, QING Hong-jun, HU De-an. Uncertain Inversion of Crack Parameters for Plates Based on the SmXFEM[J]. Applied Mathematics and Mechanics, 2016, 37(1): 60-72. doi: 10.3879/j.issn.1000-0887.2016.01.005

基于光滑扩展有限元的平板裂纹参数不确定性反求

doi: 10.3879/j.issn.1000-0887.2016.01.005
基金项目: 国家自然科学基金(11272118)
详细信息
    作者简介:

    张利轩(1987—),男,博士生(E-mail: 410182zlx@163.com);卿宏军(1971—),男,博士(通讯作者.E-mail: qinghongjun@hnu.edu.cn).

  • 中图分类号: U462.3

Uncertain Inversion of Crack Parameters for Plates Based on the SmXFEM

Funds: The National Natural Science Foundation of China(11272118)
  • 摘要: 裂纹位置和尺寸等是工程监测需掌握的非常重要的信息.光滑扩展有限元是近年来发展起来的一种模拟裂纹的有效方法,即使采用极度不规则单元仍可获得精确的模拟结果,无需单元“质量”要求.因此在单元自动划分方面具有突出的优势,这一特点也使得该方法适用于裂纹反求过程的实时调用和含裂纹仿真模型的网格自动划分.研究基于光滑扩展有限元的不确定反求方法,用于识别平面弹性板中直裂纹位置和尺寸参数,即采用光滑扩展有限元法进行拉伸工况的正问题分析,通过测量平板边缘的节点位移建立优化模型,调用遗传算法实现裂纹参数的反求.反求过程中将材料的弹性模量和Poisson(泊松)比作为区间不确定变量,采用一阶Taylor(泰勒)公式实现了平板裂纹参数的不确定性反求.
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出版历程
  • 收稿日期:  2015-09-21
  • 修回日期:  2015-10-08
  • 刊出日期:  2016-01-16

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