Propagation of a semi-infinite conducting crack in piezoelectric materials: Mode-I problem
Propagation of a semi-infinite conducting crack in piezoelectric materials: Mode-I problem
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DOI：
10.1016/j.jmps.2014.03.010
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发表时间：
2014-08
影响因子：
5.3
通讯作者：
Haosen Chen;Wei-yi Wei-Wei-yi-Wei-2149192147;Jinxi Liu;D. Fang
中科院分区：
文献类型：
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作者：
Haosen Chen;Wei-yi Wei-Wei-yi-Wei-2149192147;Jinxi Liu;D. Fang
本文研究了在正冲击载荷作用下，六角对称压电材料中半无限长导电裂纹扩展的Ⅰ型瞬态响应。积分变换方法与Wiener-Hopf技术一起被用来解决所考虑的混合边值问题。对于两种情况导出了耦合场的解，即，是否存在广义瑞利波。得到了动应力强度因子和动电位移强度因子及其通用函数的封闭形式。给出了两个通用函数的数值结果，以说明动态裂纹扩展的特性。研究发现，当裂纹扩展速度达到金属化压电半空间中表面波的传播速度广义Rayleigh速度时，动应力强度因子和电位移强度因子的普适函数均为零。结果表明，机电耦合系数对动态断裂特性有重要影响。
In this paper, the mode-I transient response of a semi-infinite conducting crack propagating in a piezoelectric material with hexagonal symmetry under normal impact loading is investigated. The integral transform methods together with the Wiener–Hopf technique are used to solve the mixed boundary value problem under consideration. The solutions of the coupled fields are derived for two cases, i.e., generalized Rayleigh wave exists or not. The dynamic stress intensity factor and dynamic electric displacement intensity factor as well as their universal functions are obtained in a closed form. The numerical results for two universal functions are provided to illustrate the characteristics of dynamic crack propagation. It is found that the universal functions for the dynamic stress and electric displacement intensity factors vanish when the crack propagation speed reaches the generalized Rayleigh speed which is the propagation speed of surface wave in a piezoelectric half-space with metallized surface. It is noted that the electromechanical coupling coefficient has an important influence on the dynamic fracture characteristics.