Stress intensity factor evaluation for central oriented cracks by stress dead‐zone concept

Abstract

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.

A fracture study of slanted cracks using the stress dead‐zone hypothesis

“…Recently, the authors analytically investigated the SDZ in finite plates with central oriented cracks. 21 The dead zone was geometrically characterised following the slant angle respecting the tensile loading direction (θ) and the height of dead zone in the projected horizontal crack which has been introduced as αa. In addition, a new alternative analytical solution on the mode I SIF has been suggested relying on the Griffith theory, 19 which is of interest in the present study.…”

“…As stated, the below equations are accordingly employed here to acquire the analytical SIF K SDZ I À Á following the compliance function together with SDZ hypothesis. 21 Figure 4 depicts a physical meaning of the SDZ notation for the finite plate with a slant notch.…”

“…The authors previously established a set of equations based on the compliance function to analytically propose a new SIF solution for infinite/finite plates with slant notches. 21 Only mathematics were taken into account. In addition, SDZ notation was generally studied for the corresponding plates, and the SDZ was geometrically characterised through some measureable parameters.…”

“…Moreover, in terms of geometrical characteristics of the SDZ, the physical parameters were analytically determined for the studied benchmark test in the previously published work by the authors. 21 Thus, in this regard, this study aims at using those proposed geometrical characteristics in both experimental DIC and numerical FEM. Once the dead zone was assessed, it is feasible to monitor the longitudinal strain in the loaded and unloaded regions.…”

“…The authors previously established a set of equations based on the compliance function to analytically propose a new SIF solution for infinite/finite plates with slant notches 21 . Only mathematics were taken into account.…”