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Reinvestigation of Elastic-Plastic Growth of Mode III Cracks in Power Law Hardening Materials

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Abstract

This work deals with asymptotic analysis of near tip fields for mode III cracks growing quasi-statically in steady in power law hardening materials. In the analysis the stress expansion originally suggested by Gao and Hwang was modified. Attention was focused on the behavior of the asymptotic solutions as hardening exponent n→∞. Analytical expressions of the dominant terms of deformation velocity and flow factor in the centered fan sector have been obtained by expanding them in series of the small parameter s=2/(n-1). Results showed that the asymptotic solution of near tip fields for power hardening materials goes, as → ∞, to its corresponding solution for elastic-perfectly plastic materials.

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References

  • Chitaley, A.D. and McClintock, F.A. (1971). Local criteria for ductile fracture. Journal of the Mechanics and Physics of Solids 19(2), 147–163.

    Google Scholar 

  • Gao, Yu-chen and Hwang, Keh-chih (1981). Elastic-plastic fields in steady crack growth in a strain hardening material. Procedure 5th International Conference On Fracture (Edited by D. Francois), France, Vol.2, Pergamon Press, New York, 669–682.

    Google Scholar 

  • Pan, Hao. (1988). Investigation of cracks growing steadily in power-law hardening solids. Acta Mechanica Sinica 20, 142–153. (in Chinese).

    Google Scholar 

  • Peng, Shoukang and Pan, Hao. Investigation of elastic-plastic growth of plane stress mode II cracks in power hardening materials (submitted for publication elsewhere).

  • Rice, J.R. (1982). Elastic-plastic crack growth. Mechanics of Solids (Edited by H. G. Hopkins et al.), The Rodney Hill 60th Annual Volume, Pergamon Press, Oxford, 539–562.

    Google Scholar 

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Authors and Affiliations

  1. Zhejiang Economic College, Jiaxing, 314001, P. R. China

    Shoukang Peng

  2. Central Iron and Steel Research Institute, Beijing, 100081, P. R. China

    Hao Pan

Authors
  1. Shoukang Peng
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  2. Hao Pan
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Peng, S., Pan, H. Reinvestigation of Elastic-Plastic Growth of Mode III Cracks in Power Law Hardening Materials. International Journal of Fracture 88, 335–342 (1997). https://doi.org/10.1023/A:1007479809806

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  • DOI: https://doi.org/10.1023/A:1007479809806

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