冯文杰, 张会斌, 王丽群. 加层压电条界面裂纹的稳态扩展[J]. 工程力学, 2004, 21(4): 112-117.
引用本文: 冯文杰, 张会斌, 王丽群. 加层压电条界面裂纹的稳态扩展[J]. 工程力学, 2004, 21(4): 112-117.
FENG Wen-jie, Zhang Hui-bin, WANG Li-qun. STEADY PROPAGATION OF INTERFACIAL CRACK IN LAYERED PIEZOELECTRIC STRIPS[J]. Engineering Mechanics, 2004, 21(4): 112-117.
Citation: FENG Wen-jie, Zhang Hui-bin, WANG Li-qun. STEADY PROPAGATION OF INTERFACIAL CRACK IN LAYERED PIEZOELECTRIC STRIPS[J]. Engineering Mechanics, 2004, 21(4): 112-117.

加层压电条界面裂纹的稳态扩展

STEADY PROPAGATION OF INTERFACIAL CRACK IN LAYERED PIEZOELECTRIC STRIPS

  • 摘要: 研究当压电条同时与两个不同材料的弹性条粘接在一起,在反平面机械载荷及面内电载荷联合作用下,长度不变的有限Griffith 界面裂纹沿加层压电条界面以常速稳态扩展时裂尖的动态断裂问题.应用Fourier积分变换将问题化为以第二类Fredholm积分方程表示的对偶积分方程,导出了相应的动应力强度因子表达式.给出了动应力强度因子与裂纹传播速度、裂纹长度、压电条及弹性条厚度、电荷载大小及方向的关系曲线.研究结果对结构设计及结构失效的预防具有理论和应用价值.

     

    Abstract: An analysis is performed for the dynamic fracture problem of a finite Griffith crack propagating steadily with constant velocity along the interface between piezoelectric and elastic strips. The crack length is assumed to be unchanged. The combined out-of plane mechanical and in-plane electrical loads are applied to the layered piezoelectric strip. Fourier transforms are used to reduce the problem to a pair of dual integral equations, which are then expressed in terms of a Fredholm integral equation of the second kind. The dynamic stress intensity factor is determined. Plotted are the curves of dynamic stress intensity factor versus crack propagating speed, crack length, piezoelectric strip or elastic strip thickness and magnitude and direction of electrical loads, respectively. The results have potentially theoretical and applied value to structural design and the prevention of structural failure.

     

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