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Acta Mechanica Sinica

, Volume 4, Issue 1, pp 15–21 | Cite as

Perturbation solutions for non-linear crack problems

  • He Mingyuan
Article
  • 4 Downloads

Abstract

Approximate solutions ofJ integrals under plane loadings (modes I and II combined) and antiplane shear loadings (mode III) are obtained for bodies with central through cracks of power hardening materials, by using a perturbation method. The obtained calculating formula is very simple and a comparison with available results shows that the formula enjoys quite good accuracy and is suitable for engineering uses.

Key Words

perturbation method non-linear crack 

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References

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    He Ming Yuan and Hutchinson, J.W., Bounds for Fully Plastic Crack Problems for Infinite Bodies, Elastic-Plastic Fracture, Vol. 1-Inelastic Crack Analysis, ASTM STP 803 (1983), I-277–I-290.Google Scholar
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Copyright information

© Chinese Society of Theoretical and Applied Mechanics 1988

Authors and Affiliations

  • He Mingyuan
    • 1
  1. 1.Institute of MechanicsAcademia SinicaBeijingChina

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