Viscoplastic Field near a Propagating Crack-Tip

Gao Y. C.

Volume 11 Issue 1

Turn off MathJax

Article Contents

Abstract

References

Article Navigation > Applied Mathematics and Mechanics > 1990 > 11(1): 33-43

Gao Y. C.. Viscoplastic Field near a Propagating Crack-Tip[J]. Applied Mathematics and Mechanics, 1990, 11(1): 33-43.

Citation:

Gao Y. C.. Viscoplastic Field near a Propagating Crack-Tip[J]. Applied Mathematics and Mechanics, 1990, 11(1): 33-43.

Citation:

Gao Y. C.. Viscoplastic Field near a Propagating Crack-Tip[J]. Applied Mathematics and Mechanics, 1990, 11(1): 33-43.

PDF( 604 KB)

Viscoplastic Field near a Propagating Crack-Tip

Gao Y. C.

Haerbin Shipbuilding Engineering Institute, Haerbin

Received Date: 1988-06-18
Publish Date: 1990-01-15

Abstract

Abstract

An clastic-vise oplastic constitutive model is proposed instead of the usual elastoplastic model. It is assumed tha when crack-lip is approached the viscosity coefficient tends to zero (η=η₀r). Asymptoic analysis of the dynamic field near a propagating crack-tip is given, and the uniparameler solution is obtained. The numerical result is given for various Mach number and viscosity coefficient, Based on the asymptotic solution, a fracture criterion is proposed and the stability of crack propagation is discussed.

FullText(HTML)

References(20)

References

[1]	Irwin,G, R,J.Appl.Mech,24(1957),361.
[2]	Hutchinson,J.W.,J. Mech. Phbs, Solids,16 (1968),18-21.
[3]	Rice, J.R, and G, F.Rosengren, J. Mech, Phys, Solids, 16(1968), 1-12.
[4]	Gao, Y, C, sad K, C, Hwang,Advahsces in Fracture Research, Ed; D, Fraocois,2(1981),669-682.
[5]	Chitaley, A, D, and F.A, McClintock, J, Mech, Phgs, Solids, 19 (1971),147.
[6]	Slepyan, L, L,Izv, AN SSSR, Mekhanika Yverdogo Tela, 9 (1974), 57.
[7]	Gan, Y.C,Acts Mech, Sinica, 1(1980), 48, (in Chinese)
[8]	Rice, J.R,W.J. D: ugan and T.L, Sham, Fracture Mechanics, ASTM STP 700(1980),189.
[9]	Gao, Y, C,Acts Mech, Sinica, Special issue(1981),100; presented at the 16th ICTAM, Toronto,.Aug,(1980).
[10]	Gao, Y, C,Elastic Plastic-Fracture, ASTM STP 803 (i981),1-176.
[11]	Drugan W,. J.,J.R.Rice sled T, L, Sham, J, Mech, Phys, Solid;. 30(1982),447.
[12]	Gao, Y.C.,B.Han and K, C, Hwang, Acta Mech, Sinica,1 (1986), 88.(in Chinese)
[13]	Drugan, W.J.,J, Appl, Mech,53 (1986), 83.
[14]	Gao, Y, C, and S, Nemat-Nasser, Mechanics of Materials, 2 (1983), 47.
[15]	Gao, Y, C, and S, Nexriat-Nasser, Mech, of Mater 2 (1983), 305-317.
[16]	Gao, Y, C, and S, Nemat-Nasser, J, Mech Phts, Solids, 32 (1984), 1-19.
[17]	Gao, Y, C.,Int, J, Engng, Sci,24(1986), 1045-1056.
[18]	Gao, Y, C,Int, J, Fracture, 29 (1985), 171.
[19]	Gao,Y., C,Int, J, Fracture,34(1987), 111.
[20]	Hroberg, B,Recent Progress in Applied Maaharires, The Folke Odgviat Volume Ed by J. Hult et al. (1967),125.

Relative Articles

[1]	LIANG Wen-yan, WANG Zhen-qing, YANG Zeng-jie. Steady-State Growing Crack-Tip Field Characteristics of Mode Ⅲ Elastic-Viscoplastic/Rigid Interface Cracks[J]. Applied Mathematics and Mechanics, 2010, 31(2): 210-217. doi: 10.3879/j.issn.1000-0887.2010.02.010
[2]	ZHANG Xue-xia, CUI Xiao-chao, YANG Wei-yang, LI Jun-lin. Crack-Tip Field on Mode Ⅱ Interface Crack of Double Dissimilar Orthotropic Composite Materials[J]. Applied Mathematics and Mechanics, 2009, 30(12): 1399-1414. doi: 10.3879/j.issn.1000-0887.2009.12.002
[3]	JIA Bin, WANG Zhen-qing, LI Yong-dong. Investigation Into Field Structure at Mode Ⅲ Dynamically Propagating Crack Tip in Elastic-Visco-Plastic Materials[J]. Applied Mathematics and Mechanics, 2008, 29(7): 633-638.
[4]	WANG Zhen-qing, LIANG Wen-yan, ZHOU Bo, SU Juan. Perfect Elastic-Viscoplastic Field at Mode Ⅰ Dynamic Propagating Crack-Tip[J]. Applied Mathematics and Mechanics, 2007, 28(4): 447-452.
[5]	WU Yan-qing, ZHANG Ke-shi. Crack Propagation in Polycrystalline Elastic-Viscoplastic Materials Using Cohesive Zone Models[J]. Applied Mathematics and Mechanics, 2006, 27(4): 454-462.
[6]	JIA Bin, WANG Zhen-qing, LI Yong-dong, LIANG Wen-yan. Viscoplastic Solution to the Field at Steadily Propagating Crack Tip in Linear-Hardening Materials[J]. Applied Mathematics and Mechanics, 2006, 27(4): 470-476.
[7]	LI Fan-chun, ZHAO Wen-sheng, TANG Long-sheng. Elastic-Viscoplastic Fieds Near The Tip of a Propagating Crack Under Anti-Plane Shear[J]. Applied Mathematics and Mechanics, 2004, 25(9): 983-990.
[8]	LI Fan-chun. Asymptotic Dynamic Solution to the Mode Ⅰ Propagating Crack-Tip Field in Elastic-Viscoplastic Material[J]. Applied Mathematics and Mechanics, 2003, 24(2): 185-191.
[9]	Huang Debin, Zhao Xiaohua. The Vector Fields Admitting One-Parameter Spatial Symmetry Group and Their Reduction[J]. Applied Mathematics and Mechanics, 2000, 21(2): 154-160.
[10]	Li Fanchun, Qi Hui. The Asymptotic Solution to the Antiplane Shear Dynamic Crack-Tip Field in an Elastic Strain-Softening Viscoplastic Material[J]. Applied Mathematics and Mechanics, 1997, 18(2): 161-167.
[11]	Lin Baisong. A Supplemtary Study of Anisotropic Plastic Fields at a Rapidly Propagating Plane-Stress Crack-Tip(I)[J]. Applied Mathematics and Mechanics, 1995, 16(11): 1025-1035.
[12]	Lin Bai-song. Anisotropic Plastic Fields at a Rapidly Propagating Plane-Stress Crack-Tip[J]. Applied Mathematics and Mechanics, 1993, 14(1): 25-38.
[13]	Lin Bai-song. Anisotropic Plastic Fields at a Rapidly Propagating Crack-Tip[J]. Applied Mathematics and Mechanics, 1993, 14(2): 157-163.
[14]	Lin Bai-song. Effect of the Poisson Ratio on the Perfectly Plastic Stress Field at a Stationary Plane-Strain Crack Tip[J]. Applied Mathematics and Mechanics, 1992, 13(3): 271-278.
[15]	Zeng Pan, Qian Ling-xi. Parametric Quadratic Programming Method for Viscoplasticity[J]. Applied Mathematics and Mechanics, 1991, 12(6): 541-545.
[16]	Zhang Ning-sheng, Zhao Xue-ren, Hsueh Dah-wei. A Weighted Residual Method for Elastic-Plastic Analysis near a Crack Tip and the Calculation of the Plastic Stress Intensity Factors[J]. Applied Mathematics and Mechanics, 1991, 12(12): 1055-1066.
[17]	Lin Bai-song. Effect of Poisson Ratio on the Perfectly Plastic Field at a Rapidly Propagating Plane-Strain Crack-Tip[J]. Applied Mathematics and Mechanics, 1991, 12(10): 943-950.
[18]	Lin Bai-song. Perfectly Plastic Fields at a Rapidly Propagating Plane-Stress Crack Tip[J]. Applied Mathematics and Mechanics, 1991, 12(7): 613-620.
[19]	Lin Bai-song. Perfectly Plastic Stress Field at a Stationary Crack Tip[J]. Applied Mathematics and Mechanics, 1985, 6(5): 415-421.
[20]	Lin Bai-song. Elastic Perfectly-Plastic Fields at a Rapidly Propagating Crack-Tip[J]. Applied Mathematics and Mechanics, 1985, 6(10): 939-946.