人民长江 ›› 2023, Vol. 54 ›› Issue (6): 186-193.doi: 10.16232/j.cnki.1001-4179.2023.06.027

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支点摩擦对半圆弯曲试样应力强度因子影响研究

唐晓宇 吕川 黄诗渊   

  • 发布日期:2023-07-10

Study on effect of supporting point friction on stress intensity factor of notched semi-circular bending specimen

TANG Xiaoyu LYU Chuan HUANG Shiyuan   

  • Published:2023-07-10

摘要: 为探讨支点摩擦对直槽半圆盘三点弯曲(NSCB)试样应力强度因子的影响,采用有限元方法研究了无量纲裂缝长度a/R、支点跨距S/2R及支点摩擦系数f对无量纲应力强度因子YI的影响规律。结果表明:当a/R或S/2R一定时,随着f的增大,YI逐渐减小并趋于稳定;当f一定时,YI随a/R或S/2R的增大而增大,且a/R或S/2R越大,YI受支点摩擦的影响越显著;考虑摩擦作用后,YI与S/2R、a/R、f的关系为多个不规则空间曲面,故根据图中曲线进行插值计算较为方便。最后根据研究成果对两种类岩石材料的I型断裂测试结果进行了误差修正。在室内三点弯曲I型断裂试验中,若将支点取为固定约束,需在应力强度因子标定中考虑支点的摩擦影响。

关键词: 摩擦系数;应力强度因子;断裂韧度;半圆弯曲试验;

Abstract: In order to investigate the influence of supporting point friction on the stress intensity factor of Notched Semi-Circular Bending(NSCB) specimen samples, the finite element method was used to study the effects of supporting point friction coefficient(f) on the dimensionless stress intensity factor(YI) of NSCB specimens with different dimensionless crack lengths(a/R) and different supporting spans(S/2R).The results show that when a/R or S/2R is constant, YI will gradually decrease and tend to be stable with the increase of f. When f is constant, YI will increase with the increase of a/R or S/2R,and the larger a/R or S/2R is, the more significantly YI is affected by the supporting point friction.The relationship between YI and S/2R,a/R and f after considering friction were actually multiple irregular spatial surfaces, so it was more convenient to carry out interpolation calculation according to the curves in the figure.Finally, the error correction of the mode I fracture test results for two kinds of rock-like materials was carried out based on the calculated results.According to the results, in the mode I fracture of three-point bending test, if the supporting point was fixed, the supporting point friction should be considered in the stress intensity factor calibration.

Key words: friction coefficient; stress intensity factor; fracture toughness; semicircle bending test;