Effective Medium Theory for the Elastic Properties of Composite Materials with Various Percolation Thresholds
| Autor: | Mikhail Shamonin, Andrei A. Snarskii, Pavel Yuskevich |
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| Rok vydání: | 2019 |
| Předmět: |
Class (set theory)
Materials science FOS: Physical sciences 02 engineering and technology random heterogeneous medium Conductivity Self consistent Elastomer lcsh:Technology 01 natural sciences Article Electrical resistivity and conductivity percolation threshold 0103 physical sciences General Materials Science Composite material lcsh:Microscopy 010306 general physics lcsh:QC120-168.85 Variable (mathematics) Condensed Matter - Materials Science lcsh:QH201-278.5 lcsh:T Materials Science (cond-mat.mtrl-sci) Percolation threshold 021001 nanoscience & nanotechnology self-consistent lcsh:TA1-2040 Magnetorheological fluid effective medium approximation lcsh:Descriptive and experimental mechanics lcsh:Electrical engineering. Electronics. Nuclear engineering elastic properties two-phase composite material lcsh:Engineering (General). Civil engineering (General) 0210 nano-technology lcsh:TK1-9971 |
| Zdroj: | Materials Volume 13 Issue 5 Materials, Vol 13, Iss 5, p 1243 (2020) |
| DOI: | 10.48550/arxiv.1912.11621 |
| Popis: | It is discussed that the classical effective medium theory for the elastic properties of random heterogeneous materials is not congruous with the effective medium theory for the electrical conductivity. In particular, when describing the elastic and electro-conductive properties of a strongly inhomogeneous two-phase composite material, the steep rise of effective parameters occurs at different concentrations. To achieve the logical concordance between the cross-property relations, a modification of the effective medium theory of the elastic properties is introduced. It is shown that the qualitative conclusions of the theory do not change, while a possibility of describing a broader class of composite materials with various percolation thresholds arises. It is determined under what conditions there is an elastic analogue of the Dykhne formula (for the effective conductivity). The introduction of the theory with the variable percolation threshold paves the way for describing the magneto-elastic properties of magnetorheological elastomers, as it has been achieved for magneto-dielectric and magnetic properties recently. Comment: 22 pages, 9 figures, typos corrected ,new section added |
| Databáze: | OpenAIRE |
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