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Mat. Mod. Chisl. Met., 2014, Issue 2, Pages 28–48 (Mi mmcm12)  

This article is cited in 7 scientific papers (total in 7 papers)

Finite element modulation of effective viscoelastic properties of unilateral composite materials

Yu. I. Dimitrienko, E. A. Gubareva, S. V. Sborshchikov

Bauman Moscow State Technical University

Abstract: We propose a method for calculating effective viscoelastic properties of composite materials under steady-state cyclical vibrations. The method is based on asymptotic averaging of periodic structures and finite-element solution of local problems of viscoelasticity in periodicity cells of composite materials. We provide examples of numerical simulation of viscoelastic properties for composites with unidirectional reinforcement, and of calculations of complex tensors of stress concentration in a periodicity cell. The paper presents a comparative analysis of dependencies of loss tangent of complex composite elasticity modulus on vibration frequencies obtained through FEA calculations and rough mixed formulae. We show that rough mixed formulae, often used for calculating dissipative properties of composite materials, can yield appreciable calculation errors.

Keywords: Composites, viscoelasticity, stable-state vibrations, complex elasticity modulus, unilateral composites, asymptotic averaging method, finite element method, loss tangent, numerical simulation

Full text: PDF file (3658 kB)
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UDC: 539.3
Received: 25.12.2014

Citation: Yu. I. Dimitrienko, E. A. Gubareva, S. V. Sborshchikov, “Finite element modulation of effective viscoelastic properties of unilateral composite materials”, Mat. Mod. Chisl. Met., 2014, no. 2, 28–48

Citation in format AMSBIB
\Bibitem{DimGubSbo14}
\by Yu.~I.~Dimitrienko, E.~A.~Gubareva, S.~V.~Sborshchikov
\paper Finite element modulation of effective viscoelastic properties of unilateral composite materials
\jour Mat. Mod. Chisl. Met.
\yr 2014
\issue 2
\pages 28--48
\mathnet{http://mi.mathnet.ru/mmcm12}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Yu. I. Dimitrienko, E. A. Gubareva, S. V. Sborschikov, V. S. Erasov, N. O. Yakovlev, “Chislennoe modelirovanie i ekperimentalnoe issledovanie deformirovaniya uprugoplasticheskikh plastin pri smyatii”, Mat. modelir. i chisl. metody, 2015, no. 5, 67–82  mathnet
    2. Yu. I. Dimitrienko, E. A. Gubareva, S. V. Sborschikov, O. A. Bazyleva, A. N. Lutsenko, E. I. Oreshko, “Modelirovanie uprugoplasticheskikh kharakteristik monokristallicheskikh intermetallidnykh splavov na osnove mikrostrukturnogo chislennogo analiza”, Mat. modelir. i chisl. metody, 2015, no. 6, 3–22  mathnet
    3. S. K. Golushko, B. V. Semisalov, “Chislennoe modelirovanie deformirovaniya anizogridnykh konstruktsii s primeneniem vysokotochnykh skhem bez nasyscheniya”, Mat. modelir. i chisl. metody, 2015, no. 6, 23–45  mathnet
    4. Yu. I. Dimitrienko, Yu. V. Yurin, “Konechno-elementnoe modelirovanie napryazhenno-deformirovannogo sostoyaniya gornykh porod s uchetom polzuchesti”, Mat. modelir. i chisl. metody, 2015, no. 7, 101–118  mathnet
    5. Kh. Kh. Khudoinazarov, A. Abdirashidov, Sh. M. Burkutboev, “Modelirovanie krutilnykh kolebanii vyazkouprugogo kruglogo sterzhnya, vraschayuschegosya s postoyannoi uglovoi skorostyu”, Mat. modelir. i chisl. metody, 2016, no. 9, 38–51  mathnet
    6. Yu. I. Dimitrienko, E. A. Gubareva, S. V. Sborschikov, “Mnogomasshtabnoe modelirovanie uprugoplasticheskikh kompozitov s uchetom povrezhdaemosti”, Mat. modelir. i chisl. metody, 2016, no. 10, 3–23  mathnet
    7. Yu. I. Dimitrienko, E. A. Gubareva, D. Yu. Kolzhanova, S. B. Karimov, “Modelirovanie neszhimaemykh sloistykh kompozitov s konechnymi deformatsiyami na osnove metoda asimptoticheskogo osredneniya”, Mat. modelir. i chisl. metody, 2017, no. 13, 32–54  mathnet  crossref
  • Математическое моделирование и численные методы
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