弯曲载荷作用下圆柱壳环向周期裂纹应力强度因子
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摘要
应力强度因子作为表征裂纹尖端应力场强弱和断裂分析的一个重要参量,其简单而有效的求解方法具有重要的工程实际意义。利用J_2守恒积分建立了一个求解弯曲载荷作用下圆柱壳环向周期裂纹应力强度因子的计算方法。该方法原理清晰,计算简单。
Stress intensity factor is an important parameter that characterizes the stress field near the tip in fracture analysis. The simple and effective methods to estimate intensity factor become significant. Based on the J_2 conservation integral, a simple exact method is proposed to determine the stress intensity factor for periodic cracked pipe under the bending effect. The principle of this method is clear and the calculation process is simple.
Stress intensity factor is an important parameter that characterizes the stress field near the tip in fracture analysis. The simple and effective methods to estimate intensity factor become significant. Based on the J_2 conservation integral, a simple exact method is proposed to determine the stress intensity factor for periodic cracked pipe under the bending effect. The principle of this method is clear and the calculation process is simple.
引文
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[2] Xie Y J.Zhang X,Wang X H.An exact method on penny-shaped cracked homogeneous and composite cylinders[J].International Journal of Solids and Structures,2001,38:6953-6963.
[3] 王伟,蔡永梅,谢禹钧.椭圆形截面管环向裂纹应力强度因子分析方法[J].工程力学,2011,28(11):197-201.WANG Wei,CAI YongMei,Xie YuJun.An analytical method on stress intensity factor for circumferential cracked elliptical pipes[J].Engineering Mechanics,2011,28(11):197-201(In Chinese).
[4] 谢禹钧.方形截面管横向裂纹的应力强度因子KⅠ[J].工程力学,2004,21(6):183-86.XIE YuJun.Stress intensity factor KI for cracked box beams[J].Engineering Mechanics,2004,21(6):183-186(In Chinese).
[5] 谢禹钧.弯曲载荷作用下工字形截面梁腹板中心穿透裂纹的应力强度因子[J].机械强度,2006,28(3):397-400.Xie YuJun.Stress intensity factor for cracked I beams [J].Journal of Mechanical Strength,2006,28(3):397-400(In Chinese).
[6] 谢禹钧,王晓华,王伟,等.拉伸环向周期裂纹管的应力强度因子[J].工程力学,2006,23(6):173-176.XIE YuJun,WANG XiaoHua,WANG Wei,et al.Stress intensity factor for circumferential periodic cracked pipes under tension [J].Engineering Mechanics,2006,23(6):173-176(In Chinese).
[7] Budiansky B and Rice J R.Conservation laws and energy-release rates[J].Journal of Applied Mechanics,1973,40(2):201-03.
[8] Eshelby J D.The force on an elastic singularity[J].Phil.Trans.Roy.Soc.London Ser.,1951,244(1):87-112.
[9] J.R.Rice,A path independent integral and the approximate analysis of strain concentration by notches and cracks[J].Journal of Applied Mechanics,1968(35):379-386.
[10] Sih G C.Dynamic aspects of crack aspects of crack propagation.Inelastic Behavior of Solids[M].New York:Mc-Graw-Hill Book,Co.,1969(11):234-257.
[11] 程靳,赵树山.断裂力学[M].北京:科技出版社,2006:1-14.CHENG Jin,ZHAO ShuShan.Facture mechanics[M].Beijing:Science Press,2006:1-14(In Chinese).
[12] 聂毓琴,孟广伟.材料力学[M].北京:机械工业出版社,2010:122.NIE LiuQin,MENG GuangWei.Mechanics of materials[M].Beijing:China Machine Press,2010:122(In Chinese).
[13] Hiroshi Tada,Paul C.Paris,George R.Irwin.The stress analysis of cracks handbook[M].Third edition,New York:ASME,2000:481-482.