Numerical Study on Two-Dimensional Crack Problems in Three-Layered Isotropic Elastic Materials

Article Preview

Abstract:

Two-dimensional crack problems in a three-layered material are analysed numerically under the conditions of plane strain. An image method is proposed to obtain a fundamental solution for dislocation dipoles in trilayered media. The governing equations can be constructed by distributed dislocation technique and the solutions are sought in terms of the displacement discontinuity method. Comparisons are made between existing results in the literature and numerical results for different cases and good agreements are found.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

53-58

Citation:

Online since:

June 2006

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2006 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] J. W. Hutchinson and Z. Suo: Advances in Applied Mechanics Vol. 29 (1992), p.63.

Google Scholar

[2] D. D. Pollard and A. Aydin: Geological Society of American Bulletin Vol 100 (1988), p.1181.

Google Scholar

[3] P. D. Hilton and G. C. Sih: Int. J. Solids Struct. Vol. 7 (1971), p.913.

Google Scholar

[4] N. A. Fleck, J. W. Hutchinson and Z. Suo: Int. J. Solids Struct. Vol. 27 (1991), p.1683.

Google Scholar

[5] H. Chai: Int. J. Fract. Vol. 32 (1987), p.211.

Google Scholar

[6] A. R. Akisanya, and N. A. Fleck: Int. J. Fract. Vol. 55 (1992), p.29.

Google Scholar

[7] K. Aderogba: J. Mech. Phys. Solids Vol. 51 (2003), p.267.

Google Scholar

[8] K. Aderogba: Philos. Mag. Vol. 35 (1977), p.281.

Google Scholar

[9] D. A. Hills, P. A. Kelly, D. N. Dai and A. M. Korsunsky: Solution of Crack Problems, the Distributed Dislocation Technique (Kulwer Academic Publishers, 1996).

Google Scholar

[10] T. Fett and D. Munz: Stress Intensity Factors and Weight Functions (Computational Mechanics Publications, 1997).

Google Scholar

[11] K. J. Shou and J. A. L. Napier: Int J Rock Mech. Min. Sci. & Geomech. Abstr. 36 (1999), p.719.

Google Scholar