RECIPROCAL RELATIONS FOR DYNAMIC GREEN-FUNCTIONS IN FIBER 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 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.