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An Approach to the Determination of the Deformation Characteristics of Viscoelastic Materials

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Abstract

An efficient method is proposed to determine the deformation function of a viscoelastic material from experimental data. The deformation function is assumed to be an integral operator with Rabotnov's fractional-exponential kernel or a sum of such kernels. This representation enables effective use of the method of operator continued fractions. To illustrate the method, deformation data for polymethylmethacrylate are used. The viscoelastic characteristics of a composite based on this material are obtained using the method of operator continued fractions

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev, Ukraine

    A. A. Kaminskii & M. F. Selivanov

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  1. A. A. Kaminskii
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  2. M. F. Selivanov
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Translated from Prikladnaya Mekhanika, Vol. 41, No. 8, pp. 41–50, August 2005.

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Kaminskii, A.A., Selivanov, M.F. An Approach to the Determination of the Deformation Characteristics of Viscoelastic Materials. Int Appl Mech 41, 867–875 (2005). https://doi.org/10.1007/s10778-005-0153-x

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  • DOI: https://doi.org/10.1007/s10778-005-0153-x

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