Evaluation of Stress Distribution of Isotropic, Composite, and FG Beams with Different Geometries in Nonlinear Regime via Carrera-Unified Formulation and Lagrange Polynomial Expansions

In this study, the geometrically nonlinear behaviour caused by large displacements and rotations in the cross sections of thin-walled composite beams subjected to axial loading is investigated. Newton–Raphson scheme and an arc length method are used in the solution of nonlinear equations by finite e...

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Autores principales:	Erasmo Carrera, Munise Didem Demirbas, Riccardo Augello
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	Carrera-Unified formulation geometrical nonlinear regime composite structures functionally graded structures Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999
Acceso en línea:	https://doaj.org/article/b3b872e4c81b428a815d35ca900c3d88
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spelling	oai:doaj.org-article:b3b872e4c81b428a815d35ca900c3d882021-11-25T16:33:24ZEvaluation of Stress Distribution of Isotropic, Composite, and FG Beams with Different Geometries in Nonlinear Regime via Carrera-Unified Formulation and Lagrange Polynomial Expansions10.3390/app1122106272076-3417https://doaj.org/article/b3b872e4c81b428a815d35ca900c3d882021-11-01T00:00:00Zhttps://www.mdpi.com/2076-3417/11/22/10627https://doaj.org/toc/2076-3417In this study, the geometrically nonlinear behaviour caused by large displacements and rotations in the cross sections of thin-walled composite beams subjected to axial loading is investigated. Newton–Raphson scheme and an arc length method are used in the solution of nonlinear equations by finite element method to determine the mechanical effect. The Carrera-Unified formulation (CUF) is used to solve nonlinear, low or high order kinematic refined structure theories for finite beam elements. In the study, displacement area and stress distributions of composite structures with different angles and functionally graded (FG) structures are presented for Lagrange polynomial expansions. The results show the accuracy and computational efficiency of the method used and give confidence for new research.Erasmo CarreraMunise Didem DemirbasRiccardo AugelloMDPI AGarticleCarrera-Unified formulationgeometrical nonlinear regimecomposite structuresfunctionally graded structuresTechnologyTEngineering (General). Civil engineering (General)TA1-2040Biology (General)QH301-705.5PhysicsQC1-999ChemistryQD1-999ENApplied Sciences, Vol 11, Iss 10627, p 10627 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Carrera-Unified formulation geometrical nonlinear regime composite structures functionally graded structures Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999
spellingShingle	Carrera-Unified formulation geometrical nonlinear regime composite structures functionally graded structures Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999 Erasmo Carrera Munise Didem Demirbas Riccardo Augello Evaluation of Stress Distribution of Isotropic, Composite, and FG Beams with Different Geometries in Nonlinear Regime via Carrera-Unified Formulation and Lagrange Polynomial Expansions
description	In this study, the geometrically nonlinear behaviour caused by large displacements and rotations in the cross sections of thin-walled composite beams subjected to axial loading is investigated. Newton–Raphson scheme and an arc length method are used in the solution of nonlinear equations by finite element method to determine the mechanical effect. The Carrera-Unified formulation (CUF) is used to solve nonlinear, low or high order kinematic refined structure theories for finite beam elements. In the study, displacement area and stress distributions of composite structures with different angles and functionally graded (FG) structures are presented for Lagrange polynomial expansions. The results show the accuracy and computational efficiency of the method used and give confidence for new research.
format	article
author	Erasmo Carrera Munise Didem Demirbas Riccardo Augello
author_facet	Erasmo Carrera Munise Didem Demirbas Riccardo Augello
author_sort	Erasmo Carrera
title	Evaluation of Stress Distribution of Isotropic, Composite, and FG Beams with Different Geometries in Nonlinear Regime via Carrera-Unified Formulation and Lagrange Polynomial Expansions
title_short	Evaluation of Stress Distribution of Isotropic, Composite, and FG Beams with Different Geometries in Nonlinear Regime via Carrera-Unified Formulation and Lagrange Polynomial Expansions
title_full	Evaluation of Stress Distribution of Isotropic, Composite, and FG Beams with Different Geometries in Nonlinear Regime via Carrera-Unified Formulation and Lagrange Polynomial Expansions
title_fullStr	Evaluation of Stress Distribution of Isotropic, Composite, and FG Beams with Different Geometries in Nonlinear Regime via Carrera-Unified Formulation and Lagrange Polynomial Expansions
title_full_unstemmed	Evaluation of Stress Distribution of Isotropic, Composite, and FG Beams with Different Geometries in Nonlinear Regime via Carrera-Unified Formulation and Lagrange Polynomial Expansions
title_sort	evaluation of stress distribution of isotropic, composite, and fg beams with different geometries in nonlinear regime via carrera-unified formulation and lagrange polynomial expansions
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/b3b872e4c81b428a815d35ca900c3d88
work_keys_str_mv	AT erasmocarrera evaluationofstressdistributionofisotropiccompositeandfgbeamswithdifferentgeometriesinnonlinearregimeviacarreraunifiedformulationandlagrangepolynomialexpansions AT munisedidemdemirbas evaluationofstressdistributionofisotropiccompositeandfgbeamswithdifferentgeometriesinnonlinearregimeviacarreraunifiedformulationandlagrangepolynomialexpansions AT riccardoaugello evaluationofstressdistributionofisotropiccompositeandfgbeamswithdifferentgeometriesinnonlinearregimeviacarreraunifiedformulationandlagrangepolynomialexpansions
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Evaluation of Stress Distribution of Isotropic, Composite, and FG Beams with Different Geometries in Nonlinear Regime via Carrera-Unified Formulation and Lagrange Polynomial Expansions

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