摘要
文章采用有限元方法,对带裂纹中心圆孔圆盘(hollow centre cracked disc,HCCD)试样的复合型断裂进行了数值模拟研究。采用相互作用积分法计算了试样裂尖的Ⅰ型和Ⅱ型应力强度因子(KⅠ和KⅡ)。根据大量算例结果并结合量纲分析,得到了复合型加载条件下HCCD试样裂尖KⅠ和KⅡ的拟合公式。该组公式含有试样圆盘内径r、裂纹长度a、裂纹倾角θ3个参量,从纯Ⅰ型断裂至纯Ⅱ型断裂,以及Ⅰ-Ⅱ复合型断裂均具有较高的精度。对于KⅠ拟合公式,当θ在0°~15°,r/R在0.05~0.50,a/(R-r)在0.1~0.6范围内时,其计算误差小于8%;当θ在15°~30°,r/R在0.05~0.50,a/(R-r)在0.1~0.4范围内时,其计算误差小于9%。对于KⅡ拟合公式,当θ在0°~30°,r/R在0.10~0.50,a/(R-r)在0.1~0.6范围内时,其计算误差小于10%。
In this paper,the finite element method was used to simulate the mixed-mode fracture of hollow centre cracked disc(HCCD)specimens.The interaction integral method was used to calculate the modeⅠand modeⅡstress-intensity factors(KⅠand KⅡ)of the crack tip of the specimens.According to a large number of numerical results and combined with dimensional analysis,the fitting formulas of KⅠand KⅡof HCCD specimens under mixed-mode loading were obtained.This set of formulas include three parameters of specimen inner diameter r,crack length a,and crack inclination angleθ,and have a high accuracy for pure modeⅠ,Ⅱand mixed-mode fracture.For KⅠfitting formula,when theθwas from 0°to 15°,the r/R was from 0.05 to 0.50,and the a/(R-r)was in the 0.1 to 0.6 range,the calculation error did not exceed 8%;when theθwas from 15°to 30°,the r/R was from 0.05 to 0.50,and the a/(R-r)was in the 0.1 to 0.4 range,the calculation error did not exceed 9%.For KⅡfitting formula,when theθwas from 0°to 30°,the r/R was from 0.10 to 0.50,and the a/(R-r)was in the 0.1 to 0.6 range,the calculation error did not exceed 10%.
作者
杨旺
巫绪涛
仰涛
YANG Wang;WU Xutao;YANG Tao(School of Civil and Hydraulic Engineering, Hefei University of Technology, Hefei 230009, China)
出处
《合肥工业大学学报（自然科学版）》
CAS
北大核心
2020年第9期1293-1296,共4页
Journal of Hefei University of Technology：Natural Science
基金
国家自然科学基金资助项目(51408175)。
