Lin Bai-song. Anisotropic Plastic Stress Field at a Mixed-Mode Crack Tip under Plane and Anti-Plane Strain[J]. Applied Mathematics and Mechanics, 1993, 14(7): 609-614.
Citation: Lin Bai-song. Anisotropic Plastic Stress Field at a Mixed-Mode Crack Tip under Plane and Anti-Plane Strain[J]. Applied Mathematics and Mechanics, 1993, 14(7): 609-614.

Anisotropic Plastic Stress Field at a Mixed-Mode Crack Tip under Plane and Anti-Plane Strain

  • Received Date: 1989-08-13
  • Publish Date: 1993-07-15
  • On condition that any perfectly plastic stress component at a crack tip is nothing but the function of by making use of equilibrium equations,unisotropii plastic stress-strain-rale relations,compatibility equations and Hill anisotropic plastic vivid condition,in the present paper,we derive the generally analytical expressions of the anisotropic plastic stress field at a mixed-mode crack tip under plane and anti-plane strain.Applying these generally analytical expressions to the mixed-mode cracks,we can obtain the analytical expressions of anisotropic plastic stress fields at the tips of mixed-mode Ⅰ-Ⅲ,Ⅱ-Ⅲ and Ⅰ-Ⅱ-Ⅲ cracks.
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  • [1]
    林拜松,奇点附近的各向异性塑性应力场,应用数学和力学,8(8)(1987),727-732.
    [2]
    林拜松,平面应变和反平面应变复合型裂纹尖端的理想塑性应力场,应用数学和力学,6(9)(1985),915-922.
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