Dynamic Interaction Of Interfacial Circular Cavities On Two Dissimilar Piezoelectric Media

Piezoelectric materials as a kind of new intelligent materials, has been widely applied tothe national defense construction, industrial production and people’s life and closely related tomany fields, such as power electric sensors, the transmitter and actuators, etc. And moreattention is paid to the investigation of the fracture behaviors on piezoelectric materials withvarious kinds of defects due to their strong electromechanical coupling characteristics.Dynamics of the piezoelectric material with all kinds of defects, such as cracks, holes,non-circular cavity have been an important problem in mechanics and materials home andabroad. Based on the linear piezoelectric theory, dynamic antiplane problems of twodissimilar piezoelectric media with interface multi-circles is investigated, and got somevaluable conclusions.The present thesis investigates the interaction of interfacial circular cavities by Greenfunction method, complex variable theory and multipolar coordinate method. At the sametime, the division technique and the conjunction method have been applied. First of all, thesuitable Green’s function is the solution of displacement field for piezoelectric elastic halfspace with multiple senti-circle impacted by out-plane harmonic line source loading athorizontal surface．Second, the problem can be summarized to the scattering problem ofSH-wave by piezoelectric bimaterials with no defects. The model of the problem is composedof two half spaces with half cylindrical gaps. Then, a pair of the first kind of Fredholmintegral equations for solutions can be established. And the integral equations are solved bythe direct numerical integration method. At the same time the dynamic stress concentrationfactor will be obtained. At last, some examples on the interaction of two same interfacecircular cavities were chose in order to illustrate the correctness of this method. The resultsare given and plotted to show how the influence of wave number, incident wave orientationand combination of different piezoelectric media parameters upon dynamic stressconcentration factors. Meanwhile the calculating results are discussed and some of them arecompared with related published documents.