任意跨宽比三点弯曲梁断裂力学参数的权函数法求解  

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

作　　者：童第华 吴学仁 赵晓辰 徐武[3] 胡本润 TONG Dihua;WU Xueren;ZHAO Xiaochen;XU Wu;HU Benrun(AECC Beijing Institute of Aeronautical Materials,Beijing 100095,China;Key Laboratory of Science and Technology on Aeronautical Materials Testing and Evaluation,Aero-engine Corporation of China,Beijing 100095,China;School of Aeronautics and Astronautics,Shanghai Jiao Tong University,Shanghai 200240,China;State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian University of Technology,Dalian 116024,Liaoning,China;Beijing Key Laboratory of Aeronautical Materials Testing and Evaluation,Beijing 100095,China)

机构地区：[1]中国航发北京航空材料研究院检测研究中心,北京100095 [2]中国航空发动机集团材料检测与评价重点实验室,北京100095 [3]上海交通大学航空航天学院,上海200240 [4]大连理工大学工业装备结构分析国家重点实验室,辽宁大连116024 [5]航空材料检测与评价北京市重点实验室,北京100095

出　　处：《航空材料学报》2020年第3期127-136,共10页Journal of Aeronautical Materials

摘　　要：利用有限宽板边缘裂纹的Wu(吴学仁)-Carlsson解析权函数,结合无裂纹应力分布的Filon解析解,计算任意跨宽比(S/W)三点弯曲梁的高精度应力强度因子(SIF)和裂纹嘴张开位移(CMOD)。基于解析权函数法给出的裂纹面幂函数分布应力下的SIF和CMOD解析表达式和表格数值,能够快速确定裂纹面在多项式应力作用下的SIF和CMOD,所得结果与文献中使用完全不同的解法给出的数据高度一致。讨论了利用解析权函数法确定黏聚断裂韧度的问题,为任意跨宽比三点弯曲梁的断裂力学分析提供了高效和高精度的解析计算方法。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 finitewidth 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.

关 键 词：三点弯曲梁 应力强度因子 裂纹嘴张开位移 解析权函数 黏聚断裂韧度 

分 类 号：O346.1[理学—固体力学]