SIF and CMOD for three-point bending beams with arbitrary span-to-width ratios by using analytical weight function method

Abstract

Stress intensity factors (SIF) and crack mouth opening displacements (CMOD) for three-point bending beams with arbitrary span-to-width ratios (S/W) were calculated by using the Wu-Carlsson analytical weight function for edge-cracked finite-width plate and the analytical solution of un-cracked stress by Filon. Based on the analytical weight function and tabulated SIF and CMOD data for power-law crack-line stresses, SIF and CMOD for general polynomial crack face loadings could be rapidly determined by simple arithmetic. The results obtained for several span-to-width ratios determined by using fundamentally different methods are in excellent agreement with those in literature. A brief discussion is made for calculating cohesive fracture toughness by analytical weight function method. The present study provides a high efficient and accurate method for fracture mechanics analysis of the three-point bending beam with arbitrary span-to-width ratio.

Keywords

• three-point bending beam
• stress intensity factors
• crack mouth opening displacements
• analytical weight function
• cohesive fracture toughness