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Acta Mechanica Sinica

, Volume 8, Issue 2, pp 156–164 | Cite as

High-order asymptotic analysis for the crack in nonlinear material

  • Xia Lin
  • Wang Tzuchiang
Article

Abstract

Accurate high-order asymptotic analyses were carried out for Mode II plane strain crack in power hardening materials. The second-order crack tip fields have been obtained. It is found that the amplitude coefficientk 2 of the second term of the asymptotic field is correlated to the first order field as the hardening exponentn<n * (n *≈5), but asn≥n *,k 2 turns to become an independent parameter. Our results also indicated that, the second term of the asymptotic field has little influence on the near-crack-tip field and can be neglected whenn<n *. In fact,k 2 directly reflects the effects of triaxiality near the crack tip, the crack geometry and the loading mode, so that besidesJ-integral it can be used as another characteristic parameter in the two-parameter criterion.

Key Words

asymptotic analysis near-crack-tip field triaxiality 

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Copyright information

© Chinese Society of Theoretical and Applied Mechanics 1992

Authors and Affiliations

  • Xia Lin
    • 1
  • Wang Tzuchiang
    • 1
  1. 1.Institute of MechanicsChinese Academy of SciencesBeijingChina

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