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A wedge disclination dipole interacting with a circular inclusion

The problem involving the interaction effects between a wedge disclination dipole and an elastic circular inclusion is investigated. Utilizing the Muskhelishvili complex variable method, the closed form solutions are derived for complex potentials and stress fields due to a wedge disclination dipole...

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Bibliographic Details
Published in:Physica status solidi. A, Applications and materials science Applications and materials science, 2006-02, Vol.203 (3), p.443-458
Main Authors: Liu, Y. W., Fang, Q. H., Jiang, C. P.
Format: Article
Language:English
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Summary:The problem involving the interaction effects between a wedge disclination dipole and an elastic circular inclusion is investigated. Utilizing the Muskhelishvili complex variable method, the closed form solutions are derived for complex potentials and stress fields due to a wedge disclination dipole located near the circular inclusion. The strain energy and the force acting on the disclination dipole center are also calculated. The influence of the orientation and the location of the disclination dipole as well as the material elastic dissimilarity upon the equilibrium position of the disclination dipole is discussed in detail. The results show that for certain combinations of materials constants, the disclination dipole has a stable equilibrium point near the inclusion. Moreover, the force on the disclination dipole is very much affected by the orientation of the disclination dipole. The present solutions contain previously known results as the special cases. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
ISSN:1862-6300
0031-8965
1862-6319
DOI:10.1002/pssa.200521049