Curvature sensitive model of isogeometric collocation for multiple nonlinear equilibria of reinforced porous curved microbeams
This research examination aims to demonstrate for the first time the multiple nonlinear equilibria attributed to the curvature sensitivity in thermomechanical stability characteristics of clamped porous curved microbeams. The modeled microstructures are reinforced by graphene nanoplatelet including...
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| Language: | English |
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Elsevier
2024-11-01
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| Series: | Ain Shams Engineering Journal |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2090447924004179 |
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| author | Saeid Sahmani Babak Safaei Kamila Kotrasova |
| author_facet | Saeid Sahmani Babak Safaei Kamila Kotrasova |
| author_sort | Saeid Sahmani |
| collection | DOAJ |
| description | This research examination aims to demonstrate for the first time the multiple nonlinear equilibria attributed to the curvature sensitivity in thermomechanical stability characteristics of clamped porous curved microbeams. The modeled microstructures are reinforced by graphene nanoplatelet including the roles of couple and nonlocal stress tensors. In this regard, curved microbeams possessing different magnitudes of curvature are taken into account which classified as microbeams with small, medium, and large curvatures. Based upon a power law, the porosity is graded in thickness direction, along which the graphene nanoplatelet reinforcements are dispersed uniformly. Through implementation of the size dependencies within the formulations of the third-order shear flexibility, an efficient curvature sensitive model of isogeometric collocation is established. The employed numerical approach embodies the Greville abscissae associated with the employed spline space and knot vector. It comes to the conclusion that for a higher value of the porosity index, the prominence attributed to the both effects of the couple and nonlocal stress tensors diminishes on the lateral loads at the upper limit points for the reinforced porous microbeam with small curvature, while it intensifies on the lateral loads at the upper limit points for the reinforced porous microbeams with medium and large curvatures. This venture becomes opposite on the lateral loads at the lower limit points. |
| format | Article |
| id | doaj-art-ded4065ab74248f8a6c409b0859cbf11 |
| institution | Kabale University |
| issn | 2090-4479 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Ain Shams Engineering Journal |
| spelling | doaj-art-ded4065ab74248f8a6c409b0859cbf112024-11-18T04:32:58ZengElsevierAin Shams Engineering Journal2090-44792024-11-011511103042Curvature sensitive model of isogeometric collocation for multiple nonlinear equilibria of reinforced porous curved microbeamsSaeid Sahmani0Babak Safaei1Kamila Kotrasova2Department of Civil Engineering, School of Science and Technology, The University of Georgia, Tbilisi 0171, Georgia; Center for Advanced Materials and Structures, School of Science and Technology, The University of Georgia, Tbilisi 0171, GeorgiaDepartment of Mechanical Engineering, Eastern Mediterranean University, Famagusta, North Cyprus via Mersin 10, Turkey; UNESCO-UNISA Africa Chair in Nanosciences and Nanotechnology, College of Graduate Studies, University of South Africa, Muckleneuk Ridge, PO Box 392, Pretoria, South AfricaDepartment of Structural Mechanics, Institute of Structural Engineering and Transportation Structures, Faculty of Civil Engineering, Technical University of Kosice, Vysokoskolska 4, 04200 Kosice, Slovakia; Corresponding author.This research examination aims to demonstrate for the first time the multiple nonlinear equilibria attributed to the curvature sensitivity in thermomechanical stability characteristics of clamped porous curved microbeams. The modeled microstructures are reinforced by graphene nanoplatelet including the roles of couple and nonlocal stress tensors. In this regard, curved microbeams possessing different magnitudes of curvature are taken into account which classified as microbeams with small, medium, and large curvatures. Based upon a power law, the porosity is graded in thickness direction, along which the graphene nanoplatelet reinforcements are dispersed uniformly. Through implementation of the size dependencies within the formulations of the third-order shear flexibility, an efficient curvature sensitive model of isogeometric collocation is established. The employed numerical approach embodies the Greville abscissae associated with the employed spline space and knot vector. It comes to the conclusion that for a higher value of the porosity index, the prominence attributed to the both effects of the couple and nonlocal stress tensors diminishes on the lateral loads at the upper limit points for the reinforced porous microbeam with small curvature, while it intensifies on the lateral loads at the upper limit points for the reinforced porous microbeams with medium and large curvatures. This venture becomes opposite on the lateral loads at the lower limit points.http://www.sciencedirect.com/science/article/pii/S2090447924004179Size dependencyNonlinear stabilityFunctionally graded porosityTemperature riseGraphene nanoplatelets |
| spellingShingle | Saeid Sahmani Babak Safaei Kamila Kotrasova Curvature sensitive model of isogeometric collocation for multiple nonlinear equilibria of reinforced porous curved microbeams Ain Shams Engineering Journal Size dependency Nonlinear stability Functionally graded porosity Temperature rise Graphene nanoplatelets |
| title | Curvature sensitive model of isogeometric collocation for multiple nonlinear equilibria of reinforced porous curved microbeams |
| title_full | Curvature sensitive model of isogeometric collocation for multiple nonlinear equilibria of reinforced porous curved microbeams |
| title_fullStr | Curvature sensitive model of isogeometric collocation for multiple nonlinear equilibria of reinforced porous curved microbeams |
| title_full_unstemmed | Curvature sensitive model of isogeometric collocation for multiple nonlinear equilibria of reinforced porous curved microbeams |
| title_short | Curvature sensitive model of isogeometric collocation for multiple nonlinear equilibria of reinforced porous curved microbeams |
| title_sort | curvature sensitive model of isogeometric collocation for multiple nonlinear equilibria of reinforced porous curved microbeams |
| topic | Size dependency Nonlinear stability Functionally graded porosity Temperature rise Graphene nanoplatelets |
| url | http://www.sciencedirect.com/science/article/pii/S2090447924004179 |
| work_keys_str_mv | AT saeidsahmani curvaturesensitivemodelofisogeometriccollocationformultiplenonlinearequilibriaofreinforcedporouscurvedmicrobeams AT babaksafaei curvaturesensitivemodelofisogeometriccollocationformultiplenonlinearequilibriaofreinforcedporouscurvedmicrobeams AT kamilakotrasova curvaturesensitivemodelofisogeometriccollocationformultiplenonlinearequilibriaofreinforcedporouscurvedmicrobeams |