An effective method for analyzing flexible porous functionally graded nanoconical sector panels taking into account temperature and electric fields
https://doi.org/10.26907/2541-7746.2025.4.689-704
Abstract
A new mathematical model of porous functionally graded (PFG) conical sector micro/nanoplates with temperature-dependent properties was developed based on the modified couple stress theory. The variational iteration method was employed to solve the nonlinear differential equations describing the bending of flexible conical (annular) sector plates under thermomechanical loading. The proposed method yielded an almost exact solution while requiring much less computational time compared to the finite difference and finite element methods.
Keywords
conical sector porous plates,
modified couple stress theory,
porous functionally graded materials,
variational iteration method
Supporting agencies: This study was supported by the Russian Science Foundation (project no. 22-11-00160-P).
About the Author
L. A. Kalutsky
Lavrentyev Institute of Hydrodynamics, Siberian Branch,
Russian Academy of Sciences
Russian Federation
Russian Federation
Leonid A. Kalutsky, Junior Researcher
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For citations:
Kalutsky L.A. An effective method for analyzing flexible porous functionally graded nanoconical sector panels taking into account temperature and electric fields. Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki. 2025;167(4):689-704. (In Russ.) https://doi.org/10.26907/2541-7746.2025.4.689-704
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