Acta Mechanica Sinica

, Volume 10, Issue 1, pp 27–39 | Cite as

Higher-order analysis of near-tip fields around an interfacial crack between two dissimilar power law hardening materials

  • Xia Lin
  • Wang Tzuchiang


By means of an asymptotic expansion method of a regular series, an exact higher-order analysis has been carried out for the near-tip fields of an interfacial crack between two different elastic-plastic materials. The condition of plane strain is invoked. Two group of solutions have been obtained for the crack surface conditions: (1) traction free and (2) frictionless contact, respectively. It is found that along the interface ahead of crack tip the stress fields are co-order continuous while the displacement fields are cross-order continuous. The zone of dominance of the asymptotic solutions has been estimated.

Key Words

interfacial crack elastic-plastic near-tip fields higher-order asymptotic analysis 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Ruhle M, Evans AG, Ashby MF and Hirth JP. Metal-Ceramic Interfaces. Acta Scripta Metallurgica Proceedings Series 4. New York: Peraman Press, 1990Google Scholar
  2. [2]
    Shih CF, Asaro RJ,J Appl Mech, 1988, 55: 299–316CrossRefGoogle Scholar
  3. [3]
    Shih CF, Asaro RJ.J Appl Mech, 1989, 56: 763–779Google Scholar
  4. [4]
    Shih CF, Asaro RJ, O'Dowd NP.J Appl Mech, 1991, 58: 450–463Google Scholar
  5. [5]
    Shih CF, Asaro RJ.Int J Fract, 1990, 42: 101–116CrossRefGoogle Scholar
  6. [6]
    Wang TC.Engng Fract Mech, 1990, 37: 525–538Google Scholar
  7. [7]
    Gao YC, Lou ZW.Int J Fract, 1990, 43: 241–256CrossRefGoogle Scholar
  8. [8]
    Xia L, Wang TC.Acta Mechanica Solida, 1992, 8: 245–258CrossRefGoogle Scholar
  9. [9]
    Xia L, Wang TC. Elastic-Plastic stress field of frictionless contact at interfacial crack tip, submitted to publication, 1991Google Scholar
  10. [10]
    Xia L, Wang TC.Acta Mechanica Sinica, 1992, 8: 147–155CrossRefGoogle Scholar
  11. [11]
    Aravas N, Sharma SM.J Mech Phys Solids, 1991, 39: 311–344CrossRefGoogle Scholar
  12. [12]
    Shih CF. Mater.Sci Engng, 1991, A143: 77–90CrossRefGoogle Scholar
  13. [13]
    Shih CF. STP 560, ASTM. 1974, 187–210Google Scholar
  14. [14]
    Xia L, Wang TC.Acta Mechanica Sinica, 1992, 8: 156–164MATHCrossRefGoogle Scholar

Copyright information

© Chinese Society of Theoretical and Applied Mechanics 1994

Authors and Affiliations

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

Personalised recommendations