K I -solutions for single edge notch specimens under fixed end displacements

Abstract

The K I solution for a finite length single-edge notch specimen loaded under fixed-end displacements is derived using a crack compliance analysis. Numerical and experimental checks of the K 1 solution are provided. Good agreement between the experimental and numerical solutions is observed. The applicability of conventional fracture mechanics to correlate crack growth data generated under displacement control is discussed.

Fatigue life prediction of heavy mining equipment. Part 1: Fatigue load assessment and crack growth rate tests

“…The stress intensity factor for this kind of specimen can be obtained from the superposition of stress intensity factors for remote uniform stress and bending stress distributions such that the resultant rotations of the edges are zero and the displacement of the ends is uniform. The stress intensity factor for single edge crack specimens with clamped ends is expressed in terms of the crack length a as [4,5]:…”

Weight functions for the determination of stress intensity factor and T-stress for edge-cracked plates with built-in ends

“…Note that since beam theory is used in the superposition representations shown in Figs. 2 and 3, they are, therefore, only valid for the problem with uniform or linearly varying stress distributions on the crack face, and the length of the plate L has to be large relative to the width W [5]. Since there is no crack in problem I-B, the solution for displacements in problem I-B is a standard one.…”

“…In the present analysis, the 'compliance analysis method' summarized by Marchand et al [5] is applied to calculate the stress intensity factor and T-stress solutions for edge-cracked-plates with built-in ends under uniform and linear crack face stress distributions. A flat plate with an edge crack, length a; and with both ends built-in as shown in Fig.…”

“…An effective approach which can be used to solve stress intensity factors for crack problems with built-in ends boundary conditions was summarised by Marchand et al [5], for edge-cracked plates under tension and bending loads. A compliance analysis is employed to determine the reaction forces on the built-in ends for a given crack geometry and loading condition.…”

“…However, all the solutions for SECP specimens from Refs. [5,6] are for the simple tension or bending loading conditions. The general solutions for any arbitrary non-linear loading conditions are not available.…”