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Analytical Solution of Stability Problem of Nanocomposite Cylindrical Shells under Combined Loadings in Thermal Environments

Author

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  • Mahmure Avey

    (Department of Mathematical Engineering, Graduate School of Istanbul Technical University, Maslak, 34469 Istanbul, Turkey
    Analytical Information Resources Center of UNEC, Azerbaijan State Economics University, 1001 Baku, Azerbaijan
    Application and Research Center, Istanbul Ticaret University, 34445 Istanbul, Turkey)

  • Nicholas Fantuzzi

    (Department of Civil, Chemical, Environmental, and Materials Engineering, University Bologna, 40136 Bologna, Italy)

  • Abdullah H. Sofiyev

    (Department of Mathematics, Istanbul Ticaret University, Beyoglu, 34445 Istanbul, Turkey
    Scientific Research Centers for Composition Materials of UNEC, Azerbaijan State Economic University, 100 Baku, Azerbaijan
    Scientific Research Centers for Composite Constructions, Odlar Yurdu University, 1072 Baku, Azerbaijan)

Abstract

The mathematical modeling of the stability problem of nanocomposite cylindrical shells is one of the applications of partial differential equations (PDEs). In this study, the stability behavior of inhomogeneous nanocomposite cylindrical shells (INH-NCCSs), under combined axial compression and hydrostatic pressure in the thermal environment, is investigated by means of the first-order shear deformation theory (FSDT). The nanocomposite material is modeled as homogeneous and heterogeneous and is based on a carbon nanotube (CNT)-reinforced polymer with the linear variation of the mechanical properties throughout the thickness. In the heterogeneous case, the mechanical properties are modeled as the linear function of the thickness coordinate. The basic equations are derived as partial differential equations and solved in a closed form, using the Galerkin procedure, to determine the critical combined loads for the selected structure in thermal environments. To test the reliability of the proposed formulation, comparisons with the results obtained by finite element and numerical methods in the literature are accompanied by a systematic study aimed at testing the sensitivity of the design response to the loading parameters, CNT models, and thermal environment.

Suggested Citation

  • Mahmure Avey & Nicholas Fantuzzi & Abdullah H. Sofiyev, 2023. "Analytical Solution of Stability Problem of Nanocomposite Cylindrical Shells under Combined Loadings in Thermal Environments," Mathematics, MDPI, vol. 11(17), pages 1-21, September.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:17:p:3781-:d:1231921
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    References listed on IDEAS

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    1. Giovanni Tocci Monaco & Nicholas Fantuzzi & Francesco Fabbrocino & Raimondo Luciano, 2021. "Trigonometric Solution for the Bending Analysis of Magneto-Electro-Elastic Strain Gradient Nonlocal Nanoplates in Hygro-Thermal Environment," Mathematics, MDPI, vol. 9(5), pages 1-22, March.
    2. Mahmure Avey & Nicholas Fantuzzi & Abdullah Sofiyev, 2022. "Mathematical Modeling and Analytical Solution of Thermoelastic Stability Problem of Functionally Graded Nanocomposite Cylinders within Different Theories," Mathematics, MDPI, vol. 10(7), pages 1-11, March.
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    Cited by:

    1. Yunki Gwak & Sy-Ngoc Nguyen & Jun-Sik Kim & Hyungbum Park & Jaehun Lee & Jang-Woo Han, 2024. "Improved Finite Element Thermomechanical Analysis of Laminated Composite and Sandwich Plates Using the New Enhanced First-Order Shear Deformation Theory," Mathematics, MDPI, vol. 12(7), pages 1-21, March.

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