杨军辉, 雷勇军. 垂直界面裂纹应力强度因子的加料有限元分析[J]. 工程力学, 2016, 33(2): 59-65. DOI: 10.6052/j.issn.1000-4750.2014.10.0881
引用本文: 杨军辉, 雷勇军. 垂直界面裂纹应力强度因子的加料有限元分析[J]. 工程力学, 2016, 33(2): 59-65. DOI: 10.6052/j.issn.1000-4750.2014.10.0881
YANG Jun-hui, LEI Yong-jun. THE ENRICHED FINITE ELEMENT ANALYSIS OF STRESS INTENSITY FACTOR FOR A CRACK NORMALTO BI-MATERIAL INTERFACE[J]. Engineering Mechanics, 2016, 33(2): 59-65. DOI: 10.6052/j.issn.1000-4750.2014.10.0881
Citation: YANG Jun-hui, LEI Yong-jun. THE ENRICHED FINITE ELEMENT ANALYSIS OF STRESS INTENSITY FACTOR FOR A CRACK NORMALTO BI-MATERIAL INTERFACE[J]. Engineering Mechanics, 2016, 33(2): 59-65. DOI: 10.6052/j.issn.1000-4750.2014.10.0881

垂直界面裂纹应力强度因子的加料有限元分析

THE ENRICHED FINITE ELEMENT ANALYSIS OF STRESS INTENSITY FACTOR FOR A CRACK NORMALTO BI-MATERIAL INTERFACE

  • 摘要: 为求解裂尖位于界面上的垂直双材料界面裂纹应力强度因子,发展了一种加料有限元方法。该方法应用Williams本征函数展开和线性变换方法求解裂尖渐进位移场,将该位移场加入常规单元位移模式中,得到加料垂直界面裂纹单元和过渡单元的位移模式,给出加料有限元方程。建立了典型垂直界面裂纹平面问题的加料有限元模型,求解加料有限元方程直接得到应力强度因子,与文献结果对比表明该方法具有较高的精度,可方便地推广应用于垂直界面裂纹的计算分析。

     

    Abstract: An enriched finite element method is developed to solve the stress intensity factors of the crack normal to bi-material interface. The crack tip asymptotic displacement fields in the method is derived through an approach based on the Williams' series expansion and linear transforms. By incorporating the displacement expressions to the displacement model of common element, the enriched and transition element displacement models are deduced, and the enriched finite element equations are derived consequently. The enriched finite element models of typical plane problem containing a crack normal to bi-material interface are established and the stress intensity factors are obtained directly by solving the enriched finite element equations. Comparisons between the result and published data indicate that the proposed method is fairly accurate and can be conveniently used to analyze the crack normal to bi-material interface.

     

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