Lin Bai-song. Perfectly Plastic Stress Field at a Mixed-Mode Crack tip Under Plane and Anti-Plane Strain[J]. Applied Mathematics and Mechanics, 1985, 6(9): 845-852.
Citation: Lin Bai-song. Perfectly Plastic Stress Field at a Mixed-Mode Crack tip Under Plane and Anti-Plane Strain[J]. Applied Mathematics and Mechanics, 1985, 6(9): 845-852.

Perfectly Plastic Stress Field at a Mixed-Mode Crack tip Under Plane and Anti-Plane Strain

  • Received Date: 1984-11-03
  • Publish Date: 1985-09-15
  • Under the condition that any perfectly plastic stress component at a crack tip is nothing but the function of θ only, making use of equilibrium equations, stress-strain-rate relations, compatibility equations and yield condition, in this paper, we derive the general analytical expressions of the perfectly plastic stress field at a Mixed-Mode crack tip under plane and anti-plane strain. Applying this general analytical expressions to the Mixed-Mode cracks, we can obtain the analytical expressions of perfectly plastic stress fields at the tips of Mixed-Mode Ⅰ-Ⅲ,Ⅱ-Ⅲ and Ⅰ-Ⅱ-Ⅲ cracks.
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  • [1]
    Shih C.F., SmaH-scale yielding analysis of mixed mode plane-strain crack problems, Fracture Analysis.ASTM STP 560, 187-210 (1974).
    [2]
    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), 415-422.
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