A variational approach to the theory of the elastic behaviour of multiphase materials

Hashin, Z.<sup>1</sup>; Shtrikman, S.<sup>2</sup>

Affiliations

¹University of Pennsylvania, Philadelphia

²The Weizmann Institute of Science, Rehovoth, Israel

Abstract

Variational principles in the linear theory of elasticity, involving the elastic polarization tensor, have been applied to the derivation of upper and lower bounds for the effective elastic moduli of quasi-isotropic and quasi-homogeneous multiphase materials of arbitrary phase geometry. When the ratios between the different phase moduli are not too large the bounds derived are close enough to provide a good estimate for the effective moduli. Comparison of theoretical and experimental results for a two-phase alloy showed good agreement.

Links

DOI: 10.1016/0022-5096(63)90060-7

WoS: A1963WZ82300005

History

Received: 1962-09-08

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