Solutions for a Mode Ⅲ Growing Crack in a Piezoelectric Plane Under Two Kinds of Electric Boundary Conditions * |
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作者姓名: | 张兴武 刘凯欣 |
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作者单位: | DepartmentofMechanicsandEngineeringScience,PekingUniversity,Beijing100871 |
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摘 要: | The solutions for a mode Ⅲ crack growing along an arbitrary propagation path in a piezoelectric plane are studied under the impermeable surface condition and the electrical contact surface condition respectively. According to the two kinds of electric boundary conditions, the Hilbert and Riemann boundary value problems in a half-plane including opening smooth arc are obtained from the theoretical analysis. Moreover, the equipollence of the solution formed under these two electric boundaries is proved, and unified solutions for the stress and electric displacement distribution in the crack-tipfield of the piezoelectric plane are achieved.
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关 键 词: | 压电材料 断裂力学 电位移分布 解 模式Ⅲ裂纹扩展 电边界条件 压电平面 |
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