Abstract
The problem of determining the effective properties of composite materials is actual problem for deformable body mechanics. The model, proposed by Crisher for modeling effective values of the coefficient of thermal conductivity, has been considered. Modifications of this mathematical model for two-component elastic composite were built. Model of Hill-Budiansky compresses classic fork of Voigt-Reuss, if it is added by Voigt component. Expressions of hybrid effective characteristics through the use of effective Hashin-Shtrikman moduli are built. The accuracy is estimated depending on the type of modification of the effective characteristics for the calculation of the stress-strain state of bodies (two-layer shell and three-layer plate) made from composite materials. The results are compared with the exact classical solutions, and admissible concordance is achieved.
| Original language | English |
|---|---|
| Title of host publication | High Technology |
| Subtitle of host publication | Research and Applications, 2015 |
| Editors | Nikita Martyushev, Anna Bogdan |
| Publisher | Trans Tech Publications Ltd |
| Pages | 206-210 |
| Number of pages | 5 |
| ISBN (Print) | 9783038357087 |
| DOIs | |
| Publication status | Published - 1 Jan 2016 |
| Event | 4th International Conference for Young Scientists High Technology: Research and Applications, HTRA 2015 - Tomsk, Russian Federation Duration: 21 Apr 2015 → 24 Apr 2015 |
Publication series
| Name | Key Engineering Materials |
|---|---|
| Volume | 685 |
| ISSN (Print) | 1013-9826 |
Conference
| Conference | 4th International Conference for Young Scientists High Technology: Research and Applications, HTRA 2015 |
|---|---|
| Country | Russian Federation |
| City | Tomsk |
| Period | 21.4.15 → 24.4.15 |
Fingerprint
Keywords
- Effective moduli
- Hashin-Shtrikman inhomogeneous body
- Voigt-Reuss type of iterative transformation
ASJC Scopus subject areas
- Materials Science(all)
- Mechanics of Materials
- Mechanical Engineering
Cite this
Modifications of the mathematical crisher model for effective moduli of two-component elastic isotropic composite. / Svetashkov, A. A.; Kupriyanov, N. A.; Manabaev, K. K.
High Technology: Research and Applications, 2015. ed. / Nikita Martyushev; Anna Bogdan. Trans Tech Publications Ltd, 2016. p. 206-210 (Key Engineering Materials; Vol. 685).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Modifications of the mathematical crisher model for effective moduli of two-component elastic isotropic composite
AU - Svetashkov, A. A.
AU - Kupriyanov, N. A.
AU - Manabaev, K. K.
PY - 2016/1/1
Y1 - 2016/1/1
N2 - The problem of determining the effective properties of composite materials is actual problem for deformable body mechanics. The model, proposed by Crisher for modeling effective values of the coefficient of thermal conductivity, has been considered. Modifications of this mathematical model for two-component elastic composite were built. Model of Hill-Budiansky compresses classic fork of Voigt-Reuss, if it is added by Voigt component. Expressions of hybrid effective characteristics through the use of effective Hashin-Shtrikman moduli are built. The accuracy is estimated depending on the type of modification of the effective characteristics for the calculation of the stress-strain state of bodies (two-layer shell and three-layer plate) made from composite materials. The results are compared with the exact classical solutions, and admissible concordance is achieved.
AB - The problem of determining the effective properties of composite materials is actual problem for deformable body mechanics. The model, proposed by Crisher for modeling effective values of the coefficient of thermal conductivity, has been considered. Modifications of this mathematical model for two-component elastic composite were built. Model of Hill-Budiansky compresses classic fork of Voigt-Reuss, if it is added by Voigt component. Expressions of hybrid effective characteristics through the use of effective Hashin-Shtrikman moduli are built. The accuracy is estimated depending on the type of modification of the effective characteristics for the calculation of the stress-strain state of bodies (two-layer shell and three-layer plate) made from composite materials. The results are compared with the exact classical solutions, and admissible concordance is achieved.
KW - Effective moduli
KW - Hashin-Shtrikman inhomogeneous body
KW - Voigt-Reuss type of iterative transformation
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UR - http://www.scopus.com/inward/citedby.url?scp=84958225266&partnerID=8YFLogxK
U2 - 10.4028/www.scientific.net/KEM.685.206
DO - 10.4028/www.scientific.net/KEM.685.206
M3 - Conference contribution
SN - 9783038357087
T3 - Key Engineering Materials
SP - 206
EP - 210
BT - High Technology
A2 - Martyushev, Nikita
A2 - Bogdan, Anna
PB - Trans Tech Publications Ltd
ER -