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Effective thermoelastic properties of discrete-fiber reinforced materials with transversally-isotropic components

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Abstract

In the present paper, we will illustrate the application of the method of conditional moments by constructing the algorithm for determination of the effective elastic properties of composites from the given elastic constants of the components and geometrical parameters of inclusions. A special case of two-component matrix composite with randomly distributed unidirectional spheroidal inclusions is considered. To this end it is assumed that the components of the composite show transversally isotropic symmetry of thermoelastic properties and that the axes of symmetry of the thermoelastic properties of the matrix and inclusions coincide with the coordinate axis x 3. As a numerical example a composite based on carbon inclusions and epoxide matrix is investigated. The dependencies of Young’s moduli, Poisson’s ratios and shear modulus from the concentration of inclusions and for certain values which characterize the shape of inclusions are analyzed. The results are compared and discussed in context with other theoretical predictions and experimental data.

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Authors and Affiliations

  1. Technische Universität Berlin, Fakultät V, Lehrstuhl für Kontinuumsmechanik und Materialtheorie (LKM), Einsteinufer 5, 10587, Berlin, Germany

    Lidiya Nazarenko, Wolfgang H. Müller & Ralf Wille

  2. S.P. Timoshenko Institute of Mechanics of NAS Ukraine, P. Nesterov Street 3, Kiev, 57 03057, Ukraine

    Leonid Khoroshun

Authors
  1. Lidiya Nazarenko
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  2. Leonid Khoroshun
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  3. Wolfgang H. Müller
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  4. Ralf Wille
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Correspondence to Wolfgang H. Müller.

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Communicated by V. Berdichevsky

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Nazarenko, L., Khoroshun, L., Müller, W.H. et al. Effective thermoelastic properties of discrete-fiber reinforced materials with transversally-isotropic components. Continuum Mech. Thermodyn. 20, 429–458 (2009). https://doi.org/10.1007/s00161-009-0092-6

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  • DOI: https://doi.org/10.1007/s00161-009-0092-6

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