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

Mahmure Avey, Nicholas Fantuzzi and Abdullah H. Sofiyev ()
Additional contact information
Mahmure Avey: Department of Mathematical Engineering, Graduate School of Istanbul Technical University, Maslak, 34469 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

Mathematics, 2023, vol. 11, issue 17, 1-21

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.

Keywords: nanocomposites; inhomogeneity; stability; cylindrical shell; thermal effect; critical combined load (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/17/3781/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/17/3781/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:17:p:3781-:d:1231921

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().