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On a Method for Solving Inelastic Deformation Problems of a Laminated Composite

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Abstract

To analyze the deformation process of layered structural elements of inelastic materials, an approach is proposed that makes it easier to solve the problem with complex types of loading. In this method, the package is homogenized, basing on its replacement by a plate with a homogeneous structure through the thickness, the mechanical characteristics of which are determined by identification methods based on the results of numerical experiments with simple types of loading. The results of solving the formulated problem of cyclic tension of three-layer plates with linearly elastic outer layers and a viscoelastic middle layer are presented, obtained by the standard and proposed method.

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Funding

The work was supported by Russian Foundation for Basic Research (project no. 19-08-00349, Section 1) and Russian Scientific Foundation (project no. 19-19-00059, Section 2).

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Authors and Affiliations

  1. Kazan National Research Technical University named after A.N. Tupolev – KAI, 10 k. marks str., 420111, Kazan, Russia

    V. N. Paimushin, R. A. Kayumov & S. A. Kholmogorov

  2. Kazan Federal (Volga region) University, 18 Kremlyovskaya str., 420008, Kazan, Russia

    V. N. Paimushin

  3. Kazan State University of Architecture and Engineering, 1 Zelenaya str., 420043, Kazan, Russia

    R. A. Kayumov

Authors
  1. V. N. Paimushin
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  2. R. A. Kayumov
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  3. S. A. Kholmogorov
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Corresponding authors

Correspondence to V. N. Paimushin, R. A. Kayumov or S. A. Kholmogorov.

Additional information

Russian Text © The Author(s), 2021, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, No. 6, pp. 55–66.

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Paimushin, V.N., Kayumov, R.A. & Kholmogorov, S.A. On a Method for Solving Inelastic Deformation Problems of a Laminated Composite. Russ Math. 65, 47–56 (2021). https://doi.org/10.3103/S1066369X21060062

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  • DOI: https://doi.org/10.3103/S1066369X21060062

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