二维压电材料动强度因子的扩展有限元计算

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振动与冲击 ›› 2013, Vol. 32 ›› Issue (13) : 76-80.

论文

二维压电材料动强度因子的扩展有限元计算

刘鹏，余天堂

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Dynamic intensity factor computations using the extended finite element method for two-dimensional piezoelectric media

Liu Peng Yu Tiantang

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文章历史 +

摘要

采用扩展有限元求解二维弹性压电材料动断裂问题。扩展有限元的网格独立于裂纹，因此网格生成可大大地简化，且裂纹扩展时不需重构网格。采用相互作用积分技术计算动强度因子。比较了标准的力裂尖加强函数和力-电裂尖加强函数对动强度因子的影响，结果表明标准的力裂尖加强函数能有效地分析压电材料动断裂问题。分析了极化方向对动强度因子的影响。数值分析表明采用扩展有限元获得的动强度因子与其他数值方法解吻合得很好。

Abstract

The extended finite element method (XFEM) is applied to solve dynamic fracture problems in 2D elastic piezoelectric solids. The XFEM allows the representation of crack faces independent of the mesh, so mesh generation can be greatly simplified and re-meshing can be avoided as the crack grows. The dynamic intensity factors (DIFs) are evaluated using the contour interaction integral technique. The influence of the standard mechanical crack tip enrichment functions and the electro-mechanical crack tip enrichment functions on the DIFs is compared. It shows that the standard mechanical crack tip enrichment functions are efficient to analyze the dynamic fracture problems in piezoelectric solids. The influence of the poling direction on the DIFs is investigated. The DIFs obtained with the XFEM are compared with other numerical solutions, and remarkable agreements can be observed.

导出引用

刘鹏;余天堂. 二维压电材料动强度因子的扩展有限元计算[J]. 振动与冲击, 2013, 32(13): 76-80

Liu Peng Yu Tiantang. Dynamic intensity factor computations using the extended finite element method for two-dimensional piezoelectric media[J]. Journal of Vibration and Shock, 2013, 32(13): 76-80