Abstract
The nuclei of strain method, which was previously developed for a perfectly bonded bi-material elastic medium, is modified to obtain the fundamental solutions for the elastic state of a bi-material, isotropic elastic medium with sliding interface. The solutions are conveniently expressed in terms of strength vectors at object and image points which are related by the transmission and reflection matrices given in the paper.
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References
Dundurs, J. and M. Hetényi: Transmission of force between two semi-infinite solids. J. of Applied Mechanics 32 (1965) 671–674.
Mindlin, R.D.: Force at a point in the interior of a semi-infinite solid. Physics 7 (1936) 195–202.
Vijayakumar, S. and Cormack, D.E.: Green's functions for the hiharmonic equation: bonded elastic media. SIAM Journal on Applied Mathematics (in press).
Rongved, J.: Force interior to one of two jointed semi-infinite solids. Proceedings of the Second Midwestern Conference on Solid Mechanics, pp 1–13 (1955).
Dundurs, J.: Effect of elastic constants on stress in a composite under plane deformation. J. Composite Materials 1 (1967) 310.
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Vijayakumar, S., Cormack, D.E. Nuclei of strain for bi-material elastic media with sliding interface. J Elasticity 17, 285–290 (1987). https://doi.org/10.1007/BF00049459
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DOI: https://doi.org/10.1007/BF00049459