Abstract
The plane elasticity problem of an infinite plate containing an elliptical inclusion is considered and the solutions for a point force and/or a dislocation located inside the inclusion are derived. By using the complex potential approach of Muskhelishvili, the general solutions are obtained in a form of a certain function flus an infinite series. The numerical convergence of the solutions is found to be tter than that of Warren's solutions for the same problem. The proposed solutions are also appropriate for the case of a point force and dislocation acting at a point just on the interface.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
J. Dundurs and M. Hetenyi, Journal of Applied Mechanics 28 (1961) 103–111.
M. Hetenyi and J. Dundurs, Journal of Applied Mechanics 29 (1962) 362–368.
J. Dundurs and T. Mura, Journal of the Mechanics and Physics of Solids 12 (1964) 177–189.
J. Dundurs and G.P. Sendecky, Journal of the Mechanics and Physics of Solids 13 (1965) 141–147.
W.E. Warren, Mechanics of Materials 2 (1983) 319–330.
L. Stagni and R. Lizzio, Applied Physics A 30 (1983) 217–221.
D.H. Chen, Transactions Japan Society of Mechanical Eigineers, submitted.
N.I. Muskhelishvili, Some Basic Problems of the Mathematical Theory of Elasticity, 4th edn., P. Noordhoff, Groningen, The Netherlands (1954).
D.B. Bogy, Journal of Applied Mechanics 35 (1968) 460–466.
J. Dundurs, Journal of Applied Mechanics 36 (1969) 650–652.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Chen, DH. A point force and an edge dislocation in an elliptical inclusion embedded in an infinite medium. Int J Fract 71, 311–322 (1995). https://doi.org/10.1007/BF00037812
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00037812