Yuan Yi-wu. On Perfectly Stress Field at a Mixed-Mode Crack Tip under Plane and Anti-Plane Strain[J]. Applied Mathematics and Mechanics, 1987, 8(11): 1007-1014.
Citation: Yuan Yi-wu. On Perfectly Stress Field at a Mixed-Mode Crack Tip under Plane and Anti-Plane Strain[J]. Applied Mathematics and Mechanics, 1987, 8(11): 1007-1014.

On Perfectly Stress Field at a Mixed-Mode Crack Tip under Plane and Anti-Plane Strain

  • Received Date: 1986-01-09
  • Publish Date: 1987-11-15
  • In[1],under the condition that all the perfectly plastic stress components at a crack tip are functions of θ only,making use of equilibrium equations,stress-strain rate relations,compatibility equations and yield condition,Lin derived the general analytical expressions of the perfectly plastic stress field at a mixed-mode crack tip under plane and anti-plane strain.But in[1] there were several restrictions on the proportionality factor λ in the stress-strain rate relations,such as supposing that λ is independent of θ and supposing that λ=cor cr-1.In this paper,we abolish these restrictions.The cases in[1],λ=crn(n=0 or-1) are the special cases of this paper.
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  • [1]
    林拜松,应用数学和力学,6,9(1985),845-852,
    [2]
    《数学手册》编写组编,《数学手册》,人民教育出版社(1977),87-89.
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