Acta Mechanica Sinica

, Volume 13, Issue 1, pp 44–53 | Cite as

Near-tip fields for a crack growing along an elastic perfectly plastic interface

  • Zhang Lin
  • Hwang Keh-Chih


The stress and deformation fields near the tip of an anti-plane crack growing quasi-statically along an interface of elastic perfectly plastic materials are given in this paper. A family of solutions for the growing crack fields is found covering all admissible crack line shear stress ratios.

Key Words

near-tip field interfacial crack elastic perfectly plastic material 


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  1. 1.
    Williams ML. The stresses around a faultor crack in dissimilar media.Bulletin of the Seismological Society of America, 1959(49): 199–204MathSciNetGoogle Scholar
  2. 2.
    Clements DL. A crack between dissimilar anisotropic media.Int J Eng Sci, 1971(9): 257–265MATHCrossRefGoogle Scholar
  3. 3.
    Rice JR. Elastic fracture mechanics concepts for interfacial cracks.J Appl Mech, 1988 (55): 98–103CrossRefGoogle Scholar
  4. 4.
    Hutchinson JW, Mear ME, Rice JR. Crack paralleling an interface between dissimilar materials.J Appl Mech, 1987(54): 828–832Google Scholar
  5. 5.
    Shih CF, Asaro RJ. Elastic-plastic analysis of cracks on bimaterial interfaces: Part I—Small scale yielding,J Appl Mech, 1988 (55): 299–316; Part II—Structure of small scale yielding fields.J Appl Mech, 1989(56): 763–779Google Scholar
  6. 6.
    Ponte Castaneda P, Mataga PA. Stable crack growth along a brittle/ductile interface, Part I—Near-tip fields.Int J Solids Struc, 1991 (27): 105–133CrossRefGoogle Scholar
  7. 7.
    Drugan WJ. Near-tip fields for quasi-static crack growth along a ductile-brittle interface.J Appl Mech, 1991(58): 111–119Google Scholar
  8. 8.
    Rice JR. Elastic-Plastic Crack Growth. In: Mechanics of Solids: The R. Hill 60th Anniversary Volume. Oxford: Pergamon Press, 1982. 539–562Google Scholar
  9. 9.
    Chitaley AD, McClintock FA. Elastic-plastic mechanics of steady crack growth under anti-plane shear.J Mech Phys Solids, 1971(19):147–163MATHCrossRefGoogle Scholar
  10. 10.
    Gao YC, Hwang KC. On the formulation of plane strain problems for elastic perfectly-plastic medium.Int J Eng Sci, 1983(21): 765–780MATHMathSciNetCrossRefGoogle Scholar
  11. 11.
    Drugan WJ and Rice JR. Restrictions on the quasi-static moving surface of strong discontinuity in elastic-plastic solids. In: Mechanics of Material Behavior: The D.C. Druker Anniversary Volume. Amsterdam: Elsevier, 1984Google Scholar
  12. 12.
    Shih CF. Small-scale yielding analysis of mixed-mode plane strain crack problems.Fracture Analysis, ASTM STP560, 1974: 187–210Google Scholar
  13. 13.
    Bose K, Ponte Castaneda P. Stable crack growth under mixed-mode conditions.J Mech Phys Solids, 1992(40): 1053–1103MATHCrossRefGoogle Scholar

Copyright information

© Chinese Society of Theoretical and Applied Mechanics 1997

Authors and Affiliations

  • Zhang Lin
    • 1
  • Hwang Keh-Chih
    • 1
  1. 1.Department of Engineering MechanicsTsinghua UniversityBeijingChina

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