A central crack of mode III across the interface between two orthotropic media in a rectangular sheet

Abstract

Without the customary assumption that the cracked-body is infinite in linear elastic fracture mechanics, the general solution of a central crack across the interface between two orthotropic media in a rectangular sheet under anti-plane shear is obtained by means of the Fourier transform and Fourier seires in this paper. It may easily be proved that the results of a central-crack across the interface between two orthotropic media in a strip for tearing mode are the special cases of the general solution in the article. In addition, it can also be found that the stress intensity factor of a central crack of Mode III across the interface between two orthotropic media in an infinite plate is identical with the result of a central crack in an isotropic infinite plate for tearing mode.