Algorithm of iterative transformation for effective modules of multicomponent isotropic composite

International Conference on Mechanical Engineering, Automation and Control Systems 2016

机械制造;无线电电子学;计算机科学

Svetashkov, A.A.^1 ; Miciski, J.^2 ; Pavlov, M.S.^1 ; Vakurov, A.A.^1

Tomsk Polytechnic University, Lenina ave., 30, Tomsk

634050, Russia^1

University of Warmia and Mazury in Olsztyn, Faculty of Animal Bioengineering, Department of Cattle Breeding and Milk Evaluation, 5, Oczapowskiego ave., Olsztyn

10-957, Poland^2

关键词: Arbitrary number;    Elastic composites;    Elementary symmetric functions;    Isotropic composites;    Iterative transformation;    Multicomponents;    Two-component;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/177/1/012094/pdf
DOI  :  10.1088/1757-899X/177/1/012094

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

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.