Study On The Mode â…¢ Interfacial Crack-tip Under Complex Loadings In Piezoelectric/Piezomagnetic Materials

Since piezoelectric materials and magneto electric material has a unique electromechanical coupling, which can be caused deformation by load, and then load can cause change of electromagnetic field. Conversely, electromagnetic field would cause the change of deformation, stress and crack opening displacement. So in modern engineering, piezoelectric materials and magnetoelectric material has wide application prospects. This paper mainly studies the modeâ…¢interfacial crack opening displacement, screw dislocation pile-up group, stress intensity factor at the tip of crack and equivalent stress intensity factor of piezoelectric/magnetoelectric materials under residual stresses in antiplane shear. The mechanics models of correlative problems are established. The general complex potential solutions of correlative problems are obtained by means of the theory of sectionally holomorphic function, the analysis of the singularity of complex functions, the analytical extending method, Cauchy model integral and the method of solving Riemann boundary problem. Numerical results show that concentrated load only or small electromagnetic loads, the electromagnetic material can be ignored, but when the electromagnetic loads were enlarged to a certain value, can cause great potential and magnetic potential.The results of this paper provide the gists of evaluating the intensity and reliability of the piezoelectric material sets with defects in the project. The degradation results are completely consistent with existing literatures.The whole paper consists of four chapters. The first chapter mainly introduces the status quo of related fields at home and aboard, main contents and creative job. Based on the mechanical and magnetoelectric coupling relationship, from the second chapter to the forth chapter, the paper mainly studies the modeâ…¢crack opening displacement, screw dislocation pile-up group, stress intensity factor at the tip of crack and equivalent stress intensity factor of the piezoelectric/magnetoelectric materials under concentrated loads,uniform residual stresses and non-uniform residual stresses in antiplane shear.