Investigation of a Griffith crack subject to anti-plane shear by using the non-local theory

Field equations of the non!local elasticity are solved to determine the state of stress in a plate with a Gri.th crack subject to the anti!plane shear[ Then a set of dual!integral equations is solved using Schmidt|s method[ Contrary to the classical elasticity solution\ it is found that no stress singularity is present at the crack tip[ The signi_cance of this result is that the fracture criteria are uni_ed at both the macroscopic and the microscopic scales