两压电介质之间的界面夹杂问题

应用Stroh理论，研究了两压电介质之间的刚性介电线夹杂问题。首先该问题被化为Hilbert问题，然后分别给出了压电介质内的复势函数解、夹杂内的电场解和夹杂尖端场的解析表达式。结果表明，在夹杂尖端附近，所有的场变量均呈现奇异性和振荡性，且其强度取决于介质的材料常数和无限场远处的应变。此外，结果还表明，当从夹杂内部趋近夹杂尖端时，夹杂内的电场也呈现奇异性和振荡性。

An Interface Inclusion Between Two Dissimilar Piezoelectric Materials

The generalized two_dimensional problem of a dielectric rigid line inclusion, at the interface between two dissimilar piezoelectric media subjected to piecewise uniform loads at infinity, is studied by means of the Stroh formalism. The problem was reduced to a Hilbert problem, and then closed_form expressions were obtained, respectively, for the complex potentials in piezoelectric media, the electric field inside the inclusion and the tip fields near the inclusion. It is shown that in the media, all field variables near the inclusion_tip show square root singularity and oscillatory singularity, the intensity of which is dependent on the material constants and the strains at infinity. In addition, it is found that the electric field inside the inclusion is singular and oscillatory too, when approaching the inclusion_tips from inside the inclusion.