Dynamic Problem On A Partially Debonded Cylindrical Inclusion Near The Surface In A Semi-infinite Piezoelectric Material

The piezoelectric material has been widely used in aspects of our life because of itsspecial properties.However,the defects,which leads to stress concentration, will seriouslyaffect the life of the component made of piezoelectric materials. Therefore, the study of themechanical properties of a piezoelectric material containing defects has become an importantissue for researchers.In the paper,dynamic problem on a partially debonded cylindrical inclusion near thesurface in a semi-infinite piezoelectric medium is studied using the Green function method,complex variable function method as well as a multi-polar coordinate method. First of all,thepaper constructs the Green’s function on a cylindrical inclusion near the surface in asemi-infinite piezoelectric medium while a time-harmonic anti-plane line electromechanicalload is acting at any position. And the Green’s function is essential to solve the issue in thispaper. Then, the mechanical model of the partially debonded cylindrical inclusion isestablished using the following method. Reverse stresses with the same values are applied atposition where the cylindrical inclusion will debond. Afterwards, we can obtain theexpressions of displacement and electric potential of a partially debonded cylindricalinclusion near the surface in a semi-infinite piezoelectric medium. Accordingly, we obtain theexpressions of dynamic stress intensity factor at the crack tip.Finally, a numerical example is given in the paper. According to the numerical plots, it isdiscussed and analyzed in the paper that how the frequencies of incident wave, thepiezoelectric characteristic parameters of the material, the incident angle of SH-wave, thedepth of the cylindrical inclusion and the different size of debond influence upon dynamicstress intensity factor. The results show that it is significant to study the subject of thescattering of SH-wave caused by a partially debonded cylindrical inclusion near the surface ina piezoelectric medium under the condtions of low frequency of the incident wave and bigpiezoelectric comprehensive parameter of the material. At the same time, it is valuablereference to design and manufacture piezoelectric element.