Applied Mathematics and Mechanics

, Volume 19, Issue 9, pp 869–879 | Cite as

Differential geometrical method in elastic composite with imperfect interfaces

  • Tong Jinzhang
  • Guan Lingyun
  • Zhang Qingiie
Article

Abstract

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).

Key words

differential geometrical method composite imperfect interface interface integral effective modulus 

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References

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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 1980

Authors and Affiliations

  • Tong Jinzhang
    • 1
  • Guan Lingyun
    • 1
  • Zhang Qingiie
    • 1
  1. 1.Department of Engineering MechanicsWuhan University of TechnologyWuhanP. R. China

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