New Cyclic <em>J</em>-Integral for Low-Cycle Fatigue Crack Growth

HU Hong-jiu; GUO Xing-ming; LI Pei-ning; XIE Yu-jun; LI Jie

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2006 > 27(2): 134-143

HU Hong-jiu, GUO Xing-ming, LI Pei-ning, XIE Yu-jun, LI Jie. New Cyclic J-Integral for Low-Cycle Fatigue Crack Growth[J]. Applied Mathematics and Mechanics, 2006, 27(2): 134-143.

Citation:

HU Hong-jiu, GUO Xing-ming, LI Pei-ning, XIE Yu-jun, LI Jie. New Cyclic J-Integral for Low-Cycle Fatigue Crack Growth[J]. Applied Mathematics and Mechanics, 2006, 27(2): 134-143.

Citation:

HU Hong-jiu, GUO Xing-ming, LI Pei-ning, XIE Yu-jun, LI Jie. New Cyclic J-Integral for Low-Cycle Fatigue Crack Growth[J]. Applied Mathematics and Mechanics, 2006, 27(2): 134-143.

PDF( 469 KB)

New Cyclic J-Integral for Low-Cycle Fatigue Crack Growth

1.
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China;

Received Date: 2005-08-23
Rev Recd Date: 2005-10-17
Publish Date: 2006-02-15

Abstract

Abstract

The constitutive equation under low-cycle fatigue (LCF) was discussed, and a two-dimensional (2-D) model for simulating fatigue crack extension was put forward in order to propose a new cyclic J-integral. The definition, primary characteristics, physical interpretations and numerical evaluation of the new parameter were investigated in detail. Moreover, the new cyclic J-integral for LCF behaviors was validated by the compact tension (CT) specimens, results show that the calculated values of new parameter can correlate well with LCF crack growth rate, during constant-amplitude loading. In addition, the phenomenon of fatigue retardation was explained through the viewpoint of energy based on the concept of new parameter.
- cyclic J-integral,
- low-cycle fatigue,
- constitutive equation,
- numerical evaluation,
- fatigue retardation

FullText(HTML)

References(17)

References

[1]	Paris P C,Erdogan F.A critical analysis of crack propagation laws[J].J Basic Eng,1960,85:528—534.
[2]	Dowling N E,Begley J A.Fatigue crack growth during gross plasticity and the J-integral[J].ASTM STP,1976,590:82—103.
[3]	Tanaka K.The cyclic J-integral as a criterion for fatigue crack growth[J].Internat J Fracture,1983,22(2):91—104. doi: 10.1007/BF00942715
[4]	Tanaka K,Akiniwa Y,Shimizu K.Propagation and closure of small cracks in SiC particulate reinforced aluminum alloy in high cycle and low cycle fatigue[J].Eng Fract Mech,1996,55(5):751—762. doi: 10.1016/0013-7944(96)00009-4
[5]	Wuthrich C.The extension of theJ-integral applied to fatigue cracking[J].Internat J Fracture,1982,20(2):R35—R37.
[6]	Chow C L,Lu T J.CyclicJ-integral in relation to fatigue crack initiation and propagation[J].Eng Fract Mech,1991,39(1):1—20. doi: 10.1016/0013-7944(91)90018-V
[7]	Brose W R,Dowling N E.Size effects on the fatigue crack growth rate of type 304 stainless steel[J].ASTM STP,1979,668:720—735.
[8]	Matthias Weick, Jarir Aktaa. Microcrack propagation and fatigue lifetime under non-proportional multiaxial cyclic loading[J].Internat J Fatigue,2003,25(9/11):1117—1124. doi: 10.1016/S0142-1123(03)00117-8
[9]	HU Hong-jiu,LEI Yue-bao,LI Pei-ning. Engineering method for calculation of cyclic J-integral[J].J Mech Strength,1998,20(4):257—260.
[10]	Miura N,Fujioka T,Kashima K.Evaluation of low-cycle fatigue crack growth and subsequent ductile fracture for cracked pipe experiments using cyclic J-integral[J].J Press Vess-T ASME,1996,323(1):249—256.
[11]	Skallerud B,Zhang Z L.On numerical analysis of damage evolution in cyclic elastic-plastic crack growth problems[J].Fatigue Fract Eng M Struct,2001,24(1):81—86. doi: 10.1046/j.1460-2695.2001.00353.x
[12]	CHEN Xue-dong,YANG Tie-cheng,JIANG Jia-ling,et al.An experimental research on the strain fatigue crack propagation in high-strain region of pressure vessels[J].J Exp Mech,2003,18(4):520—528.
[13]	Rice J R.A path independent integral and the approximate analysis of strain concentration by notches and cracks[J].J Appl Mech,1968,35:379—386. doi: 10.1115/1.3601206
[14]	Owen D R J,Fawkes A J.Engineering Fracture Mechanics: Numerical Methods and Applications[M].Swansea: Pineridge Press Limited, 1983.
[15]	Kumar V,German M D,Shih C F.An Engineering Approach for Elastic-Plastic Fracture Analysis[M].Palo Alto,CA:Electric Power Research Institute,1981.
[16]	雷月葆.应变疲劳扩展与应力疲劳扩展的统一规律[D].上海:华东理工大学,1993.
[17]	Anderson T L.Fracture Mechanics: Fundamental and Application[M].Boston: CRC Press, 2000.