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Continuum Mechanics and Thermodynamics

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15-03-2021 | Original Article

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

Authors: M. E. Golmakani, Mohammad Malikan, S. Golshani Pour, Victor A. Eremeyev

Published in: Continuum Mechanics and Thermodynamics | Issue 3/2023

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Abstract

In this paper, bending analysis of rectangular functionally graded 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. The set of coupled equations are solved using the dynamic relaxation method combined with finite difference discretization technique for clamped and simply supported boundary conditions. Finally, the effects of aspect ratio, thickness-to-length ratio, boundary conditions, transverse load, 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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Title: Bending analysis of functionally graded nanoplates based on a higher-order shear deformation theory using dynamic relaxation method
Authors: M. E. Golmakani
Mohammad Malikan
S. Golshani Pour
Victor A. Eremeyev
Publication date: 15-03-2021
Publisher: Springer Berlin Heidelberg
Published in: Continuum Mechanics and Thermodynamics / Issue 3/2023
Print ISSN: 0935-1175
Electronic ISSN: 1432-0959
DOI: https://doi.org/10.1007/s00161-021-00995-4

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