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.

Viscoplastic Field near a Propagating Crack-Tip

  • Received Date: 1988-06-18
  • Publish Date: 1990-01-15
  • 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.
  • loading
  • [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.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1419) PDF downloads(686) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return