Differential geometrical method in elastic composite with imperfect interfaces

Autor: Tong Jin-zhang, Guan Lingyun, Zhang Qingiie
Rok vydání: 1998
Předmět:
Zdroj: Applied Mathematics and Mechanics. 19:869-879
ISSN: 1573-2754
0253-4827
DOI: 10.1007/bf02458242
Popis: A differential geometrical method is for the first time used to calculate the effective moduli of a two-phase elastic composite matarials with imperfect interface which the inclusions are assumed to be ellipsoidal of revolutions. All of the interface integral items participating in forming the potential and complementary energy functionals 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 the effective elastic moduli of the composite materials with inclusions described above have been derived Under three limiting conditions of sphere, disk and needle shaped inclusions, the results of this paper will return to the bounds obtained by Hashin[6] (1992).
Databáze: OpenAIRE