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Perturbation solutions for non-linear crack problems

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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.

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References

  1. He Ming Yuan and Hatchinson, J.W.,Journal of Applied Mechanics,48 (1981), 830–840.

    Article  Google Scholar 

  2. He Ming Yuan Fully Plastic Analysis of Mixed Mode Plane-Strain Crack Problems, Proceedings of ICF International Symposium on Fracture Mechanics (Beijing), Science Press (1983), 31–41.

  3. 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 

  4. Eshelby, J.D. Proceedings of the Royal Society, London, Series A.

  5. Abeyaratne, R., On the Estimation of Energy Release Rates,Journal of Mechanics,50 (1983), 19–23.

    MATH  Google Scholar 

  6. Amazigo, J.C., Fully Plastic Crack in an Infinite Body under Anti-Plane Shear,International Journal of Solids and Structures,10 (1974), 1003–1015.

    Article  MATH  Google Scholar 

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Mingyuan, H. Perturbation solutions for non-linear crack problems. Acta Mech Sinica 4, 15–21 (1988). https://doi.org/10.1007/BF02487693

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  • DOI: https://doi.org/10.1007/BF02487693

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