Bending analysis of functionally graded nanoplates based on a higher-order shear deformation theory using dynamic relaxation method

M. E. Golmakani; Mohammad Malikan; S. Golshani Pour; Victor Eremeev

doi:10.1007/s00161-021-00995-4

Bending analysis of functionally graded nanoplates based on a higher-order shear deformation theory using dynamic relaxation method

Abstrakt

In this paper, bending analysis of rectangular functionally graded (FG) nanoplates under a uniform transverse load has been considered based on the modified couple stress theory. Using Hamilton’s principle, governing equations are derived based on a higher-order shear deformation theory (HSDT). The set of coupled equations are solved using the dynamic relaxation (DR) method combined with finite difference (FD) discretization technique for clamped and simply-supported boundary conditions. Finally, the effects of aspect ratio, thickness-to-length ratio, transverse load, boundary conditions, and length scale parameter are studied in detail. The results showed that by rising the length scale-to-thickness ratio, the influence of the grading index on the deflection decreased.

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Autorzy (4)

M. E. Golmakani Dr.
- Islamic Azad University, Mashhad Branch, Mashhad, Iran
Mohammad Malikan dr inż.
S. Golshani Pour MSc
- Islamic Azad University, Mashhad Branch, Mashhad, Iran
Victor Eremeev prof. dr hab.

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Wersja publikacji: Accepted albo Published Version
Licencja: Copyright (2021 Springer-Verlag GmbH Germany)

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Kategoria:

Publikacja w czasopiśmie

Typ:

artykuły w czasopismach

Opublikowano w:

CONTINUUM MECHANICS AND THERMODYNAMICS nr 35, strony 1103 - 1122,
ISSN: 0935-1175

Język:

angielski

Rok wydania:

2023

Opis bibliograficzny:

Golmakani M. E., Malikan M., Golshani Pour S., Eremeev V.: Bending analysis of functionally graded nanoplates based on a higher-order shear deformation theory using dynamic relaxation method// CONTINUUM MECHANICS AND THERMODYNAMICS -Vol. 35,iss. 3 (2023), s.1103-1122

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