Viscoplastic Field near a Propagating Crack-Tip

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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.

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.

[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.