Modifications of the mathematical crisher model for effective moduli of two-component elastic isotropic composite

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Citations (Scopus)

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 languageEnglish
Title of host publicationHigh Technology
Subtitle of host publicationResearch and Applications, 2015
EditorsNikita Martyushev, Anna Bogdan
PublisherTrans Tech Publications Ltd
Pages206-210
Number of pages5
ISBN (Print)9783038357087
DOIs
Publication statusPublished - 1 Jan 2016
Event4th International Conference for Young Scientists High Technology: Research and Applications, HTRA 2015 - Tomsk, Russian Federation
Duration: 21 Apr 201524 Apr 2015

Publication series

NameKey Engineering Materials
Volume685
ISSN (Print)1013-9826

Conference

Conference4th International Conference for Young Scientists High Technology: Research and Applications, HTRA 2015
CountryRussian Federation
CityTomsk
Period21.4.1524.4.15

Fingerprint

Mathematical models
Composite materials
Thermal conductivity
Mechanics

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

Svetashkov, A. A., Kupriyanov, N. A., & Manabaev, K. K. (2016). Modifications of the mathematical crisher model for effective moduli of two-component elastic isotropic composite. In N. Martyushev, & A. Bogdan (Eds.), High Technology: Research and Applications, 2015 (pp. 206-210). (Key Engineering Materials; Vol. 685). Trans Tech Publications Ltd. https://doi.org/10.4028/www.scientific.net/KEM.685.206

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 proceedingConference contribution

Svetashkov, AA, Kupriyanov, NA & Manabaev, KK 2016, Modifications of the mathematical crisher model for effective moduli of two-component elastic isotropic composite. in N Martyushev & A Bogdan (eds), High Technology: Research and Applications, 2015. Key Engineering Materials, vol. 685, Trans Tech Publications Ltd, pp. 206-210, 4th International Conference for Young Scientists High Technology: Research and Applications, HTRA 2015, Tomsk, Russian Federation, 21.4.15. https://doi.org/10.4028/www.scientific.net/KEM.685.206
Svetashkov AA, Kupriyanov NA, Manabaev KK. Modifications of the mathematical crisher model for effective moduli of two-component elastic isotropic composite. In Martyushev N, Bogdan A, editors, High Technology: Research and Applications, 2015. Trans Tech Publications Ltd. 2016. p. 206-210. (Key Engineering Materials). https://doi.org/10.4028/www.scientific.net/KEM.685.206
Svetashkov, A. A. ; Kupriyanov, N. A. ; Manabaev, K. K. / Modifications of the mathematical crisher model for effective moduli of two-component elastic isotropic composite. High Technology: Research and Applications, 2015. editor / Nikita Martyushev ; Anna Bogdan. Trans Tech Publications Ltd, 2016. pp. 206-210 (Key Engineering Materials).
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