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

• Main Authors: TONG Dihua, WU Xueren, ZHAO Xiaochen, XU Wu, HU Benrun
• Format: Article
• Language: zho
• Published: Journal of Aeronautical Materials 2020-06-01
• Series: Journal of Aeronautical Materials
• Subjects: three-point bending beam; stress intensity factors; crack mouth opening displacements; analytical weight function; cohesive fracture toughness
• Online Access: http://jam.biam.ac.cn/article/doi/10.11868/j.issn.1005-5053.2020.000052
• ISSN: 1005-5053; 1005-5053

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.