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功能梯度材料动态断裂力学的径向积分边界元法

高效伟 郑保敬 刘健

高效伟, 郑保敬, 刘健. 功能梯度材料动态断裂力学的径向积分边界元法[J]. 力学学报, 2015, 47(5): 868-873. doi: 10.6052/0459-1879-15-150
引用本文: 高效伟, 郑保敬, 刘健. 功能梯度材料动态断裂力学的径向积分边界元法[J]. 力学学报, 2015, 47(5): 868-873. doi: 10.6052/0459-1879-15-150
Gao Xiaowei, Zheng Baojing, Liu Jian. DYNAMIC FRACTURE ANALYSIS OF FUNCTIONALLY GRADED MATERIALS BY RADIAL INTEGRATION BEM[J]. Chinese Journal of Theoretical and Applied Mechanics, 2015, 47(5): 868-873. doi: 10.6052/0459-1879-15-150
Citation: Gao Xiaowei, Zheng Baojing, Liu Jian. DYNAMIC FRACTURE ANALYSIS OF FUNCTIONALLY GRADED MATERIALS BY RADIAL INTEGRATION BEM[J]. Chinese Journal of Theoretical and Applied Mechanics, 2015, 47(5): 868-873. doi: 10.6052/0459-1879-15-150

功能梯度材料动态断裂力学的径向积分边界元法

doi: 10.6052/0459-1879-15-150
基金项目: 国家自然科学基金资助项目(11172055,11202045).
详细信息
    通讯作者:

    高效伟,教授,主要研究方向:计算力学,边界单元法.E-mail:xwgao@dlut.edu.cn

  • 中图分类号: TB301

DYNAMIC FRACTURE ANALYSIS OF FUNCTIONALLY GRADED MATERIALS BY RADIAL INTEGRATION BEM

Funds: The project was supported by the National Natural Science Foundation of China (11172055, 11202045).
  • 摘要: 采用径向积分边界元法分析功能梯度材料动态断裂力学问题. 该方法使用与弹性模量无关的弹性静力学开尔文基本解作为问题的基本解,在导出的边界-域积分方程中含有由材料的非均质性和惯性项引起的域积分,通过径向积分法将域积分转化为等效的边界积分,得到只含边界积分的纯边界积分方程;从而建立只需边界离散的无内部网格边界元算法. 采用候博特方法求解关于时间二阶导数的系统离散的常微分方程组. 最后通过数值算例验证本文方法的精度和有效性.

     

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出版历程
  • 收稿日期:  2015-04-29
  • 修回日期:  2015-06-24
  • 刊出日期:  2015-09-18

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