The Analysis of the Three-Dimensional Stress Structure Near the Crack Tip of Mode Ⅰ CT Specimens in Elastic-Plastic State(Ⅰ)——The Analysis of Constraint Parameters and Fracture Parameters

Yue Zhu-feng; Zheng Chang-qing

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Article Navigation > Applied Mathematics and Mechanics > 1993 > 14(7): 625-633

Yue Zhu-feng, Zheng Chang-qing. The Analysis of the Three-Dimensional Stress Structure Near the Crack Tip of Mode Ⅰ CT Specimens in Elastic-Plastic State(Ⅰ)——The Analysis of Constraint Parameters and Fracture Parameters[J]. Applied Mathematics and Mechanics, 1993, 14(7): 625-633.

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The Analysis of the Three-Dimensional Stress Structure Near the Crack Tip of Mode Ⅰ CT Specimens in Elastic-Plastic State(Ⅰ)——The Analysis of Constraint Parameters and Fracture Parameters

Department of Engineering Mechanics, Northwestern Polytechnical University, Xi'an

Received Date: 1992-06-25
Publish Date: 1993-07-15

Abstract

Abstract

In the present paper,three dimensional analyses of some general constraint parameters and fracture parameters near the crack tip of Mode I CT specimens in two different thicknesses are carried out by employing ADINA program.The results reveal that the constraints along the thickness direction are obviously separated into two parts:the keeping similar high constraint field(Z₂) and rapid reducing constraints one(Z₂).The two fields are experimentally confiremed to correspond to the smooth region and the shear lip on the fracture face respectively.So the three dimensional stress structure of Mode Ⅰ specimens can be derived through discussing the two fields respectively.The distribution of the Crack Tip Opening Displacement(CTOD) along the thickness direction and the three dimensional distribution of the void growth ratio(V_g) near the crack tip are also obtained.The two fracture parameters are in similar trends along the thickness direction,and both of them can reflect the effect of thickness and that of the loading level to a certain degree.
- mode I cracked specimen(CT specimens),
- plane strain constraint(γ),
- stress triaxiality(R_σ),
- crack tip opening displacement(CTOD),
- void growth ratio(V_g),

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References(20)

References

[1]	陈晓明,弹塑性三维应力结构分析,西北工业大学博士论文(1988).
[2]	Liebowtiz,H.,Computational Fracture Mechanics,Proc.ICF-7Ed.K.Salama,Pergamon Press(1989),1887-1921.
[3]	岳珠峰,金属材料韧性断裂的计算模拟分析.西北工业大学硕士论文(1991).
[4]	Nakamura,T.and D.M.Parks,Three-dimensional stress field near the crack front of a thin elastic plate,J.Appl.Mech.,55(1988),805-813.
[5]	Koers,R.W.,H.Btaam and A.Bakker,Investigation into the effect of thickness on three-and four-point single edge notch bend specimens using two-and three-dimensional elastic-plastic stress analysis,Proc.ICF-7,Ed.K.Salama,Pergamon Press(1989),379-389.
[6]	Gibson,G.P.and S.G.Gibson,Effect of specimen size and geometry on ductile crack growth resistance in a C-Mn steel,Int.J.Frac.,32(1987),219-240.
[7]	Malik,S.N.and L.S.Fu,Elastoplastic analysis for a finite thickness rectangular plate containing a through-thickness central crack,Int.J.Frac.,18(1982),45-63.
[8]	Delorenzi,H.G.and C.D.Shih,3-D elastic-plastic investigation of fracutre parameters in side-grooved compact specimen,Int.J.Frac.,21(1983),195-220.
[9]	Narasinkan,R.and A.J.Rosakis,Three-dimensional effects near a crack tip in a ductile three-point bend specimen,part 1-a numerical investigation,J.Appl.Mech.,57(1990),607-617.
[10]	郑长卿等,《韧性断裂细观力学初步研究及其应用》,西北工业大学出版社(1985).
[11]	陈篪,金属断裂研究文集,冶金出版社,(1982).
[12]	Machida,K.,M.Kikuchi,H.Miyamoto and T.Hamada,The thickness effects of the CCT specimen,Transaction of Japan Sociaty of Mechancial Engineers,No.480(1987),A.
[13]	Machida,K.,M.Kikuchi and H.Miyamoto,The thickness effects of the side-grooved CCT specimen,Transaction of Japan Sociaty of Mechanical Engineers,No.491(1987),A.
[14]	Shih,C.F.,Relationships between the J-integral and the crack opening displacement for stationary and extending cracks,J.Mech.Phys.Solids,29(1981),305-326.
[15]	Zheng,C.Q.,L.Zhou and J.M.Liu,The criterion of critical void growth rate and its applications,Proc.ICM 5(1987),213-218.
[16]	Zhang,K.S.,L.S.Hua and C.Q.Zheng,A computer simulation of ductile fracture initiation in TPB specimen-an application of vgc criterion,Eng.Frac.Mech.,35(1989),671-677.
[17]	陈晓明、杨南生、官忠信,弹塑性Ⅰ型裂纹端三维应力结构分析.固体力学学报,11(1990),191.
[18]	Kikuchi,M.K.Yano,Analysis of HRR stress field at the three-dimensional crack tip,Transaction of Japan Sociaty of Mechanical Engineers,No.516(1989),A.
[19]	Hom,C.L.and R.M.MeMeeking,Large crack tip opening in thin elastic-plastic sheets,Int.J.Frac.,45(1990),103-122.
[20]	Alan,T.Zeheder and A.J.Rosakis,Three-dimensional effects near a crack tip in a ductile three-point bend specimen,part 2-an experimental investigation using interferometry and caustics,J.Appl.Mech.,57(1990),618-626.