Investigation of two Griffith cracks subject to uniform tension 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 two Griffith cracks subject to uniform tension. Then a set of triple integral equations is solved using a new method, namely Schmidt method. This method is simple and convenient for solving this problem. Contrary to the classical elasticity solution, it is found that no stress singularity is present at the crack tip. The maximum shear stress does not occur at the crack tip, but slightly away from it. The significance of this result is that the fracture criterion is unified at both the macroscopic and the microscopic scales. The finite hoop stress at the crack tip depends on the crack length.