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Bending analysis of functionally graded nanoplates based on a higher-order shear deformation theory using dynamic relaxation method
Abstract
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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Authors (4)
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M. E. Golmakani Dr.
- Islamic Azad University, Mashhad Branch, Mashhad, Iran
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S. Golshani Pour MSc
- Islamic Azad University, Mashhad Branch, Mashhad, Iran
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- Accepted or Published Version
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- Copyright (2021 Springer-Verlag GmbH Germany)
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- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
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CONTINUUM MECHANICS AND THERMODYNAMICS
no. 35,
pages 1103 - 1122,
ISSN: 0935-1175 - Language:
- English
- Publication year:
- 2023
- Bibliographic description:
- 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
- DOI:
- Digital Object Identifier (open in new tab) 10.1007/s00161-021-00995-4
- Sources of funding:
-
- COST_FREE
- Verified by:
- Gdańsk University of Technology
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