Lin Bai-song. Hydrostatic Stress-Dependent Perfectly-Plastic Stress Fields at a Stationary Plane-Stress Crack-Tip[J]. Applied Mathematics and Mechanics, 1992, 13(8): 741-744.
Citation: Lin Bai-song. Hydrostatic Stress-Dependent Perfectly-Plastic Stress Fields at a Stationary Plane-Stress Crack-Tip[J]. Applied Mathematics and Mechanics, 1992, 13(8): 741-744.

Hydrostatic Stress-Dependent Perfectly-Plastic Stress Fields at a Stationary Plane-Stress Crack-Tip

  • Received Date: 1990-11-24
  • Publish Date: 1992-08-15
  • Under the condition that all the stress components at a crack-tip are the functions of θ only, making use of equilibrium equations and hydrostatic stress-dependent yield condition, in this paper, we derive the generally analytical expressions of the hydrostatic stress-dependent perfectly-plastic stress fields at a stationary plane-stress crack-tip. Applying these generally analytical expressions to the concrete cracks, the analytical expressions of hydrostatic stress-dependent perfectly-plastic stress fields at the tips of mode Ⅰ and mode Ⅱ cracks are obtained.
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  • [1]
    Li, F.Z, and J. Pan, Planc-stress crack-tip fields for pressure-sensitive dilatant materials,Engineering Fracture Mechanics, 35(6) (1990).1105-1116.
    [2]
    林拜松,高速扩展平面应力裂纹尖端的静水应力相关理想塑性场,应用数学和力学.(待发表)
    [3]
    林拜松,静止裂纹尖端的理想塑性应力场,应用数学和力学,6(5) (1985), 415-421,
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