The antiplane electro-mechanical field of a piezoelectric wedge under a pair of concentrated forces and free charges

This paper presents general antiplane electro-mechanical field solutions for a piezoelectric wedge subjected to a pair of concentrated forces and free charges. Using the Mellin transform method, singularity orders and generalized stress, strain, electrical field and electrical displacement intensity factors are derived analytically. The solutions can be used as a weighting function in other more complicated crack problems. An example of a partially loaded piezoelectric wedge is demonstrated and all intensity factors are obtained accordingly. After being reduced to the problem of a semi-infinite antiplane crack in a piezoelectric medium or an isotropic elastic body, the results compare well with those of previous studies. The coupling effects, which come from nonzero constant e(15), on the intensity factors are demonstrated graphically. In many cases, the existence of the constant e(15) will reduce the intensity factors.