Boundary Element Methods for Two Dimensional Bimaterial Fracture Problems

  • P. K. Bhattacharyya
  • T. Willment
Conference paper
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)


The work described below examines the application of boundary element techniques to problems in which the bond between two regions occupied by dissimilar elastic materials is weakened by cracks.

The numerical method employed is a modification of the displacement discontinuity method and the explicit forms of the influence coefficients for a quadratically varying discontinuity across a bimaterial interface are given.

Results are obtained for an example problem and are compared with the known analytic solution.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Williams, M.L. ‘The stresses around a fault or crack in dissimilar media’, Bulletin of the Seismological Society of America, Vol. 49 (1959) pp. 199–204.MathSciNetGoogle Scholar
  2. 2.
    England, A.E. ‘A crack between dissimilar media’, Journal of Applied Mechanics, Vol. 32. Trans A.S.M.E. Vol. 87 Series E (1965) pp. 400–402.Google Scholar
  3. 3.
    Crouch, S.L. & Starfield, A.M. ‘Boundary element methods in solid mechanics’. (1983) George Allen & Unwin.Google Scholar
  4. 4.
    Willment, T. & Bhattacharyya, P.K. ‘Displacement discontinuity method with quadratic variation elements’. BETECH 86: proc. of the 2nd boundary element technology conf., M.I.T. June 1986 Eds. Brebbia, C.A. & Conner, J.J., pp. 633–649.Google Scholar
  5. 5.
    Erdogan, F. & Gupta, G. ‘The stresses analysis of multilayered composites with a flaw.’ International Journal of Solids and Structures, Vol. 7 (1971) pp. 39–61.MATHCrossRefGoogle Scholar
  6. 6.
    Rice, J.R. & Sih, G.C., ‘Plane problems of cracks in dissimilar media’ Journal of Applied Mechanics, Vol 32. Trans. A.S.M.E., Vol. 85, Series E (1965) pp. 418–423.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • P. K. Bhattacharyya
    • 1
  • T. Willment
    • 1
  1. 1.School of Applicable MathematicsPolytechnic of Central LondonLondonUK

Personalised recommendations