Investigation of the scattering of anti- plane shear waves by two griffith cracks using the non-local theory

摘要

In this paper, the scattering of harmonic antiplane shear waves by two finite cracks is studied using the non-local theory. The Fourier transform is applied and a mixed boundary value prob- lem is formulated. Then a set of triple integral equations is solved using a new method, namely Schimidt's method. This method is more exact and more reasonable than Erigen's for solving this Kind of problem. The result of the stress near the crack tip was obtained. Contrary to the classical elas- Ticity solution, it is found that no stress singularity is present at the crack tip, which can explain the Problem of macroscopic and microscopic mechanics.