Modifications of the Mathematical Crisher Model for Effective Moduli of Two-Component Elastic Isotropic Composite

Alexander Svetashkov; Nikolay Kupriyanov; Kayrat Manabaev

doi:10.4028/www.scientific.net/KEM.685.206

Paper Titles

Mathematical Simulation of Cramped Bending of Sheet Parts Using Finite Element Analysis
p.186

Accounting Viscous Dissipation at Round Tubes Filling
p.191

Features of Difference Scheme for the Diffusion-Kinetic Problem of Ion Implantation with Intermetallic Phases Formation
p.195

Thermal Activated Elements Redistribution between Two-Component Coating and Substrate
p.200

Modifications of the Mathematical Crisher Model for Effective Moduli of Two-Component Elastic Isotropic Composite
p.206

Solving Unsteady Boundary Value Problems Using Discrete-Analytic Method for Non-Iterative Simulation of Temperature Processes in Time
p.211

Correct Numerical Methods of Analysis of Structural Strength and Stability of High-Rise Panel Buildings - Part 1: Theoretical Foundations of Modelling
p.217

Correct Numerical Methods of Analysis of Structural Strength and Stability of High-Rise Panel Buildings - Part 2: Results of Modelling
p.221

Spectral Analysis of Narrow Band Periodic Signals
p.225

HomeKey Engineering MaterialsKey Engineering Materials Vol. 685Modifications of the Mathematical Crisher Model...

Modifications of the Mathematical Crisher Model for Effective Moduli of Two-Component Elastic Isotropic Composite

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.

You might also be interested in these eBooks

High Technology: Research and Applications 2015

View Preview

Info:

Periodical:

Key Engineering Materials (Volume 685)

Pages:

206-210

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.685.206

Citation:

Cite this paper

Online since:

February 2016

Authors:

Alexander Svetashkov, Nikolay Kupriyanov, Kayrat Manabaev*

Keywords:

Effective Moduli, Hashin-Shtrikman Inhomogeneous Body, Voigt-Reuss Type of Iterative Transformation

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

* - Corresponding Author

References

[1] Sendeckyj, G.P., Mechanics of composite materials. vol 2. New York and London 1974: Academic Press.

Google Scholar

[2] Christensen, R.M., Mechanics of Composite Materials. New-York: Academic Press, (1979).

Google Scholar

[3] Hashin, Z., The elastic moduli of heterogeneous materials. J. Appl. 29 (1962)143-150.

Google Scholar

[4] Hashin, Z. & Shtrikman, S., A variational approalh to the theory of elastic behavior of multiphase materials. J. Mech. Phys. Solids II, 11, 2 (1963) 127-140.

DOI: 10.1016/0022-5096(63)90060-7

Google Scholar

[5] Hill, R., A self-consistent mechanics of composite materials. J. Mech. Phys. Solids. 13, 4 (1965) 213-222.

Google Scholar

[6] Budiansky B. On the elastic moduli of some heterogeneous materials. J. Mech. and Phys. Solids, 13, 4 (1965) 223-227.

Google Scholar

[7] Pogorelov V.I. Structural mechanics of thin-walled structures. SPb.: BHV-Peterburg. (2007).

Google Scholar

[8] Svetashkov A. A, Kupriyanov, N. A, Manabaev K.K., One modification of the effective moduli of isotropic two-component composite. Izvestiya visshih uchebnih zavedeniy. Fizika. 7-3 (2013) 209-211.

DOI: 10.4028/www.scientific.net/kem.685.206

Google Scholar