282 / 2023-10-08 19:45:33

Analytical Solution for Stress Intensity Factor at the Tip of Closed Cracks

compression circular hole plate;closed crack ;frictional crack;stress intensity factor

Investigating the stress intensity factor (SIF) at the crack tip under the interaction of multiple stress fields is a crucial aspect of fracture mechanics. Exploring the impact of the crack-tip SIF under compressive load, specifically in the interaction between a circular hole and a crack, is vitally important for understanding the fracture criterion and strength of compressed materials. Based on the initial solution involving a plate with a circular hole under uniaxial compression, the SIF integral equation for a uniaxially compressed plate with a circular hole was derived using the superposition principle. An approximate solution to the integral equation was also derived using Chebyshev polynomials. The same problem was analyzed using the finite element method and compared with the approximate solution of the integral equation. Furthermore, the effects of the circular hole size, crack size, crack position, and friction coefficient on the crack surface on the SIF were analyzed. Results indicate that the SIF solution obtained through the superposition principle is essentially in agreement with the finite element method solution, verifying the accuracy of the SIF integral equation derived from the initial solution and superposition principle. Larger crack and hole sizes, a position closer to the hole edge, and a smaller friction coefficient on the crack surface result in a larger SIF, while the SIF fluctuation is more pronounced for cracks closer to the hole edge compared to those farther away.