CHEN Yi-zhou. Stress Analysis for an Infinite Strip Weakned by Periodic Cracks[J]. Applied Mathematics and Mechanics, 2004, 25(11): 1189-1194.
Citation: CHEN Yi-zhou. Stress Analysis for an Infinite Strip Weakned by Periodic Cracks[J]. Applied Mathematics and Mechanics, 2004, 25(11): 1189-1194.

Stress Analysis for an Infinite Strip Weakned by Periodic Cracks

  • Received Date: 2003-08-20
  • Rev Recd Date: 2004-06-05
  • Publish Date: 2004-11-15
  • Stress analysis for an infinite strip weakened by periodic cracks is studied. The cracks were assumed in a horizontal position, and the strip is applied by tension "p" in y-direction. The boundary value problem can be reduced into a complex mixed one. It is found that the EEVM (eigen-function expansion variational method) is efficient to solve the problem. The stress intensity factor at the crack tip and the T-stress were evaluated. From the deformation response under tension the cracked strip can be equivalent to an orthotropic strip without cracks. The elastic properties in the equivalent orthotropic strip were also investigated. Finally, numerical examples and results were given.
  • loading
  • [1]
    Savruk M P.Two-dimensional Problems of Elasticity for Body with Cracks[M].Kiev:Nauka Dumka,1981.
    [2]
    CHEN Yi-zhou.A survey of new integral equations in plane elasticity crack problem[J].Engng Fract Mech,1995,51(5):387—394.
    [3]
    CHEN Yi-zhou,Lee K Y.An infinite plate weakened by periodic cracks[J].J Appl Mech,2002,69(3):552—555. doi: 10.1115/1.1458558
    [4]
    Isida M,Usijima N,Kishine N.Rectangular plate,strips and wide plates containing internal cracks under various boundary conditions[J].Trans Japan Soc Mech Engrs,1981,47:27—35. doi: 10.1299/kikaia.47.27
    [5]
    Delameter W R,Herrmann G,Barnett D M. Weakening of elastic solid by a rectangular array of cracks[J].J Appl Mech,1975,42(1):74—80. doi: 10.1115/1.3423557
    [6]
    Parton V Z,Perlin P I.Integral Equations in Elasticity[M].Moscow: Mir,1982.
    [7]
    Benthem J P, Koiter W T. Asymptotic approximations to crack problems[A].In: G C Sih Ed.Mechanics of Fracture[C].1973,1:131—178.
    [8]
    Huang Y,Hu K X,Chandra A.Stiffness evaluation for solids containing dilute distributions of inclusions and microcracks[J].J Appl Mech,1995,62(1):71—77. doi: 10.1115/1.2895886
    [9]
    Kachanov M.Elastic solids with many cracks and related problems[A].In:J W Hutchinson,T Wu Eds.Advances in Applied Mechanics[C].1993,30:259—445.
    [10]
    CHEN Yi-zhou.An investigation of the stress intensity factor for a finite internally cracked plate by using variational method[J].Engng Fract Mech,1983,17(5):387—394. doi: 10.1016/0013-7944(83)90035-8
    [11]
    Wang W C, Chen J T. Stress analysis of finite interfacially cracked bimaterial plates by using variational method[J].Comput Methods Appl Mech Engrg,1989,73:153—171.
    [12]
    Muskhelishvili N I.Some Basic Problems in the Theory of Elasticity[M].Gronigen: Noordhoff, 1953.
    [13]
    CHEN Yi-zhou.Closed form solution of T-stress in plane elasticity crack problems[J].Internat J Solids and Structures,2000,37(11):1629—1637. doi: 10.1016/S0020-7683(98)00312-6
    [14]
    Lekhnitsky S G.Theory of Elasticity of Anisotropic Elastic Body[M].San Francisco: Holden-Day, 1963.
  • 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 (2007) PDF downloads(608) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return