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Algorithm of iterative transformation for effective modules of multicomponent isotropic composite

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Published under licence by IOP Publishing Ltd
, , Citation A A Svetashkov et al 2017 IOP Conf. Ser.: Mater. Sci. Eng. 177 012094 DOI 10.1088/1757-899X/177/1/012094

1757-899X/177/1/012094

Abstract

We consider the effective modules of Voigt, Reiss for isotropic elastic composites. We have reformed the method for constructing iterative transformation of the upper and lower estimates of fork (Voigt-Reuss) towards two-component composite in case of an arbitrary number of components. The method is based on the fact that effective modules of Voigt and Reuss can be regarded as elementary symmetric functions introduced by Gauss. The conditions, which the iteratively – transformed efficient modules must fulfill at every iteration, are shown.

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10.1088/1757-899X/177/1/012094