Logarithmic singularity at crack tips in piezoelectric media

【摘要】 <正> The Lekniskii-and Stroh-formalism are often used to study the crack-tip sigularity ofa two-dimensional anisotropic material, such as purely elastic material and piezoelectricmedia. The present work investigates the logarithmic singularity at crack tips inpiezoelectricity. For a semi-infinite crack in an anisotropic piezoelectric media, it is shownthat both stresses and electric displacements at crack tips may be in the order of r^-1/2, orr^1/2lnr, r^1/2ln²r, r^-1/2ln³r, as r→0, where r is the distance from crack tip to field point, de-pending on which conditions are satisfied.更多还原