The concept of the stress dead zone (SDZ) at the crack vicinity of a plate submitted to a uniform tensile condition is key in the simplification of fracture characterization, in particular, in the calculation of the stress intensity factor (SIF). The stress field close to a crack face can be negligible in any structure, and thus, the corresponding region would be discarded from the initial structural component contributing to suppress the crack tip singularity. The computation of the Griffith compliance method based on disregarding this area can thereby be done with simple analytical formulations following linear elastic fracture mechanics principles. In this study, the SDZ concept was considered, together with the compliance function, to formulate the SIF analytical solution.