{"title":"加固多孔曲面微梁多重非线性平衡的曲率敏感等距模型","authors":"Saeid Sahmani , Babak Safaei , Kamila Kotrasova","doi":"10.1016/j.asej.2024.103042","DOIUrl":null,"url":null,"abstract":"<div><div>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.</div></div>","PeriodicalId":48648,"journal":{"name":"Ain Shams Engineering Journal","volume":"15 11","pages":"Article 103042"},"PeriodicalIF":6.0000,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Curvature sensitive model of isogeometric collocation for multiple nonlinear equilibria of reinforced porous curved microbeams\",\"authors\":\"Saeid Sahmani , Babak Safaei , Kamila Kotrasova\",\"doi\":\"10.1016/j.asej.2024.103042\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>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.</div></div>\",\"PeriodicalId\":48648,\"journal\":{\"name\":\"Ain Shams Engineering Journal\",\"volume\":\"15 11\",\"pages\":\"Article 103042\"},\"PeriodicalIF\":6.0000,\"publicationDate\":\"2024-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Ain Shams Engineering Journal\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2090447924004179\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Ain Shams Engineering Journal","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2090447924004179","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
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 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.
期刊介绍:
in Shams Engineering Journal is an international journal devoted to publication of peer reviewed original high-quality research papers and review papers in both traditional topics and those of emerging science and technology. Areas of both theoretical and fundamental interest as well as those concerning industrial applications, emerging instrumental techniques and those which have some practical application to an aspect of human endeavor, such as the preservation of the environment, health, waste disposal are welcome. The overall focus is on original and rigorous scientific research results which have generic significance.
Ain Shams Engineering Journal focuses upon aspects of mechanical engineering, electrical engineering, civil engineering, chemical engineering, petroleum engineering, environmental engineering, architectural and urban planning engineering. Papers in which knowledge from other disciplines is integrated with engineering are especially welcome like nanotechnology, material sciences, and computational methods as well as applied basic sciences: engineering mathematics, physics and chemistry.