THE MODE I ELASTIC STRESS DISTRIBUTION NEAR THE ROOT OF A DEEP NOTCH WITH A PARABOLIC ROOT PROFILE

摘要

The basis of a fracture mechanics type methodology for fracture initiation at a blunt notch is the elastic stress distribution immediately ahead of a notch root. Earlier work, presented at the 2006 ASME PVP Conference [7], for the Mode Ⅲ deformation of a deep notch with a parabolic root profile, has shown that the shear stress σ(x) at a distance x ahead of the root is uniquely defined by the peak stress σ_(p, x) and p (the notch root radius of curvature), when x and p are both small compared with the notch depth, irrespective of the loading characteristics and the notch shape away from the root. This paper is concerned with the corresponding Mode I deformation situation, with the objective of providing support for the viability of a similar conclusion for Mode I deformation.