On the reduced parameter dependence of the Mori-Tanaka theory

Iwona Jasiuk, John Dundurs, Mingxiao Jiang

Research output: Contribution to journalArticlepeer-review


In this paper we study the effective elastic moduli of composite materials and explore the possibility of reducing the number of independent variables. More specifically we consider the results for the effective planar elastic moduli of composites containing circular inclusions. We assume that the interface between the matrix and inclusions is either perfectly bonded or is allowed to slip, and we employ the Mori-Tanaka theory (T. Mori, K. Tanaka, Acta Metall. 21 (1973) 571; Y. Benveniste, Mech. Mater. 6 (1987) 147) to account for inclusions' interaction. In the analysis we use a recent result in plane elasticity due to Cherkaev et al. (A. Cherkaev, K. Lurie, G.W. Milton, Proc. R. Soc. A 438 (1992) 519) and Dundurs constants (J. Dundurs, J. Comp. Mater. 1 (1967) 310; J. Dundurs, J. Appl. Mech. 36 (1969) 650).

Original languageEnglish (US)
Pages (from-to)130-135
Number of pages6
JournalMaterials Science and Engineering: A
Issue number1-2
StatePublished - Jun 15 2000
Externally publishedYes


  • Dundurs constants
  • Effective elastic moduli
  • Mori-Tanaka theory
  • Reduced parameter dependence
  • Slipping interfaces

ASJC Scopus subject areas

  • General Materials Science


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