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A point force and an edge dislocation in an elliptical inclusion embedded in an infinite medium

โœ Scribed by Dai-Heng Chen

Publisher
Springer Netherlands
Year
1995
Tongue
English
Weight
607 KB
Volume
71
Category
Article
ISSN
1573-2673

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โœฆ Synopsis

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 plus an infinite series. The numerical convergence of the solutions is found to be better 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.

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An eective method is developed and used to investigate the elastic ยฎeld and electric ยฎeld of a rigid line in a confocal elliptic piezoelectric inhomogeneity embedded in an inยฎnite piezoelectric medium. The matrix is subjected to the remote antiplane shear and inplane electric ยฎeld. The analytical so