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Boundary Element Methods for Two Dimensional Bimaterial Fracture Problems

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Advanced Boundary Element Methods

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Summary

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.

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References

  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.

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  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.

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  3. Crouch, S.L. & Starfield, A.M. ‘Boundary element methods in solid mechanics’. (1983) George Allen & Unwin.

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  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.

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  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.

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  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.

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Author information

Authors and Affiliations

  1. School of Applicable Mathematics, Polytechnic of Central London, 115 New Cavendish Street, London, W1M 8JS, UK

    P. K. Bhattacharyya & T. Willment

Authors
  1. P. K. Bhattacharyya
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  2. T. Willment
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Editor information

Editors and Affiliations

  1. Department of Engineering Mechanics, Southwest Research Institute, Post Office Drawer 28510, 6220 Culebra Road, 78284, San Antonio, Texas, USA

    Thomas A. Cruse

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© 1988 Springer-Verlag Berlin Heidelberg

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Bhattacharyya, P.K., Willment, T. (1988). Boundary Element Methods for Two Dimensional Bimaterial Fracture Problems. In: Cruse, T.A. (eds) Advanced Boundary Element Methods. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83003-7_4

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  • DOI: https://doi.org/10.1007/978-3-642-83003-7_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-83005-1

  • Online ISBN: 978-3-642-83003-7

  • eBook Packages: Springer Book Archive

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