压电体光滑接触界面上的滑移界面波理论分析

Theoretical Analysis of Slip Waves Propagating Along the Frictionless Contact Interface of Piezoelectric Solids

应用压电材料Stroh方法分析压电体光滑接触界面上滑移波的存在性条件,给出其存在的判据.压电体由外加单向压力作用而光滑接触,同时处于一定场强的电场中,设在波的作用下界面不会发生分离.通过具体压电材料的数值计算发现:当沿界面传播的波速满足一定条件时,滑移界面波能存在.特别地,两压电体的Rayleigh波速、极限波速一样时,滑移波将不存在;两压电体的Rayleigh波速、极限波速不同时,滑移界面波速将是两个Rayleigh波速之间的某个值或者是较小Rayleigh波速与较小的极限波速之间的值;滑移界面波的存在决定于材料本身的性质,而与外加载荷没有关系.

The Stroh formalism and vectors analysis are applied to investigate the existence of slip waves propagating along the frictionless contact interface between two general pieaoelectric solids. The solids are pressed together by uniaxial pressure and laid in the electric field. The numerical calculation of cadmium sulfur crystals （hexagonal symmetry） shows that when both the Rayleigh and utmost wave speeds of two piezoelectric solids are the same, the slip waves will not exist; when the wave speeds are different, the slip waves will propagate at cortain speed between Rayleigh wave speeds of two piezoelectric solids or between the smaller RayMgh wave speeds and utmost wave speeds. Meanwhile, it is found that the existence of slip waves is detexmined by the property of material itself, and irrelevant to external loads.