Algorithm of iterative transformation for effective modules of multicomponent isotropic composite

A. A. Svetashkov, J. Miciński, M. S. Pavlov, A. A. Vakurov

Research output: Contribution to journal › Conference article

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.

Original language	English
Article number	012094
Journal	IOP Conference Series: Materials Science and Engineering
Volume	177
Issue number	1
DOIs	https://doi.org/10.1088/1757-899X/177/1/012094
Publication status	Published - 1 Mar 2017
Event	10th International Conference on Mechanical Engineering, Automation and Control Systems 2016, MEACS 2016 - Tomsk, Russian Federation Duration: 27 Oct 2016 → 29 Oct 2016

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ASJC Scopus subject areas

Materials Science(all)
Engineering(all)

Cite this

Svetashkov, A. A., Miciński, J., Pavlov, M. S., & Vakurov, A. A. (2017). Algorithm of iterative transformation for effective modules of multicomponent isotropic composite. IOP Conference Series: Materials Science and Engineering, 177(1), [012094]. https://doi.org/10.1088/1757-899X/177/1/012094

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AU - Miciński, J.

AU - Pavlov, M. S.

AU - Vakurov, A. A.

PY - 2017/3/1

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N2 - 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.

AB - 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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JO - IOP Conference Series: Materials Science and Engineering

JF - IOP Conference Series: Materials Science and Engineering

SN - 1757-8981

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Access to Document

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