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 | |
| 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)
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Algorithm of iterative transformation for effective modules of multicomponent isotropic composite. / Svetashkov, A. A.; Miciński, J.; Pavlov, M. S.; Vakurov, A. A.
In: IOP Conference Series: Materials Science and Engineering, Vol. 177, No. 1, 012094, 01.03.2017.Research output: Contribution to journal › Conference article
}
TY - JOUR
T1 - Algorithm of iterative transformation for effective modules of multicomponent isotropic composite
AU - Svetashkov, A. A.
AU - Miciński, J.
AU - Pavlov, M. S.
AU - Vakurov, A. A.
PY - 2017/3/1
Y1 - 2017/3/1
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.
UR - http://www.scopus.com/inward/record.url?scp=85016184666&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85016184666&partnerID=8YFLogxK
U2 - 10.1088/1757-899X/177/1/012094
DO - 10.1088/1757-899X/177/1/012094
M3 - Conference article
VL - 177
JO - IOP Conference Series: Materials Science and Engineering
JF - IOP Conference Series: Materials Science and Engineering
SN - 1757-8981
IS - 1
M1 - 012094
ER -