Reciprocal relations for dynamic green's functions in fibre composite laminates

Reciprocal relations are derived for the Green's functions associated with a line source embedded in a plate of inhomogeneous anisotropic elastic material in which the elasticities are functions of depth only. These relations hold, in particular, for laminated plates in which the elasticities a...

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Bibliographic Details
Published in:Journal of the mechanics and physics of solids 1992-10, Vol.40 (7), p.1495-1506
Main Authors: Green, E.Rhian, Green, W.A.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
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Summary:Reciprocal relations are derived for the Green's functions associated with a line source embedded in a plate of inhomogeneous anisotropic elastic material in which the elasticities are functions of depth only. These relations hold, in particular, for laminated plates in which the elasticities are constant in each ply but jump discontinuously across the ply interfaces. Numerical results are obtained for a four-ply plate of fibre composite material and the reciprocal relations are exhibited in terms of the time histories of the normal displacements at different locations throughout the laminate.
ISSN:0022-5096
DOI:10.1016/0022-5096(92)90032-W