Algorithm of iterative transformation for effective modules of multicomponent isotropic composite
| Parent link: | IOP Conference Series: Materials Science and Engineering Vol. 177 : Mechanical Engineering, Automation and Control Systems (MEACS 2016).— 2017.— [012094, 6 p.] |
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| Corporate Author: | |
| Other Authors: | , , , |
| Summary: | Title screen 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. |
| Published: |
2017
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| Series: | Numerical simulation of applied problems |
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| Online Access: | http://dx.doi.org/10.1088/1757-899X/177/1/012094 http://earchive.tpu.ru/handle/11683/37865 |
| Format: | Electronic Book Chapter |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=654074 |
| Summary: | Title screen 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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| DOI: | 10.1088/1757-899X/177/1/012094 |