Lin Bai-song. Perfectly Plastic Stress Field at a Stationary Crack Tip[J]. Applied Mathematics and Mechanics, 1985, 6(5): 415-421.
Citation: Lin Bai-song. Perfectly Plastic Stress Field at a Stationary Crack Tip[J]. Applied Mathematics and Mechanics, 1985, 6(5): 415-421.

Perfectly Plastic Stress Field at a Stationary Crack Tip

  • Received Date: 1984-06-05
  • Publish Date: 1985-05-15
  • Under the hypothesis that all the perfectly plastic stress components at a orach tip are the functions of θ only, making use of yield conditions and equilibrium equations. we derive the generally analytical expressions of the perfectly plastic stress field at a crack tip. Applying these generally analytical expressions to the concrete cracks, the analytical expressions of perfectly plastic stress fields at the tips of Mode Ⅰ Mode Ⅱ, Mode Ⅲ and Mixed Mode Ⅰ-Ⅱ cracks are obtained.
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  • [1]
    Hutchinson,J.W.Plastic stress and strain fields at a crack tip,J Mech.Phys.Solids,16.5(1968),337-347.
    [2]
    Shih,C.F.Small-scale yielding analysis of mixed mode plane-stress crack problems.Fracture Analysis,ASTM STP 560(1974),187-210.
    [3]
    Hult,J.A.and F.A.McClintock,proc.ninth International Congress,Appl.Mech.8,51,(1956).
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