Differential geometrical method in elastic composite with imperfect interfaces

A differential geometrical method is for the first time used to calculate the effective nmoduli of a two-phase elastic composite materials with imperfect interface which the inclusions are assumed to be ellipsoidal of revolutions. All of the interface integral items participuting in forming the potential and coplementary energyfunctionals of the composite materials are expressed in terms of intrinsic quantities of the ellipsoidal of revolutions. Based on this, the upper and the lower bound for theeffective elastic moduli of the composite materials with inclusions descrbed above have been derived. Under three limiting conditions of sphere , disk and needle shapedinclusions, the results of this paper will return to the bounds obtained by Hashin6](1992).