Effects of graded-index and Poisson's ratio on elastic-solutions of a pressurized functionally graded material thick-walled cylinder

In this study, the effect of graded-index and Poisson's ratio on the elastic-numerical solutions of an axisymmetric functionally graded material (FGM) thick-walled cylinder under internal pressure in-plane strain condition is presented. We assumed that the cylinder is made up of two different l...

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Autores principales:	Yihunie Mognhod Bezzie, Dereje Engida Woldemichael
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Graded-index Functionally graded material Thick-walled cylinder Poisson's ratio Volumetric fraction Mechanics of engineering. Applied mechanics TA349-359 Technology T
Acceso en línea:	https://doaj.org/article/a0fa7f0e2e56420abeeab8fecef247ed
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spelling	oai:doaj.org-article:a0fa7f0e2e56420abeeab8fecef247ed2021-11-18T04:51:56ZEffects of graded-index and Poisson's ratio on elastic-solutions of a pressurized functionally graded material thick-walled cylinder2666-359710.1016/j.finmec.2021.100032https://doaj.org/article/a0fa7f0e2e56420abeeab8fecef247ed2021-10-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2666359721000238https://doaj.org/toc/2666-3597In this study, the effect of graded-index and Poisson's ratio on the elastic-numerical solutions of an axisymmetric functionally graded material (FGM) thick-walled cylinder under internal pressure in-plane strain condition is presented. We assumed that the cylinder is made up of two different linear elastic materials and the volumetric fraction varied continuously and gradually through the radial direction. The thermo-mechanical properties are considered to be temperature-independent (TID) and defined by using the rule of mixture. The effects of the graded-index and Poisson's ratio on the stresses, strains and radial displacement are presented. The governing equations of an FGM cylinder are solved by using the non-linear shooting method and the Runge-Kutta fourth-order algorithm. The numerical solutions are obtained by writing the code of the governing equation in python open-access environment software package. The analytical solutions of a homogeneous cylinder are performed to validate the numerical solutions of an FGM cylinder. The results are presented in graphical form. The results show that the graded-index and Poisson's ratio have remarkable influences on the response of stresses, strains, and displacement distributions across the radial direction. But, both graded-index and Poisson's ratios have insignificant impacts on the radial stress of a pressurized FGM cylinder. Furthermore, the graded-index has a great significant effect on the material properties variations through the radial direction.Yihunie Mognhod BezzieDereje Engida WoldemichaelElsevierarticleGraded-indexFunctionally graded materialThick-walled cylinderPoisson's ratioVolumetric fractionMechanics of engineering. Applied mechanicsTA349-359TechnologyTENForces in Mechanics, Vol 4, Iss , Pp 100032- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Graded-index Functionally graded material Thick-walled cylinder Poisson's ratio Volumetric fraction Mechanics of engineering. Applied mechanics TA349-359 Technology T
spellingShingle	Graded-index Functionally graded material Thick-walled cylinder Poisson's ratio Volumetric fraction Mechanics of engineering. Applied mechanics TA349-359 Technology T Yihunie Mognhod Bezzie Dereje Engida Woldemichael Effects of graded-index and Poisson's ratio on elastic-solutions of a pressurized functionally graded material thick-walled cylinder
description	In this study, the effect of graded-index and Poisson's ratio on the elastic-numerical solutions of an axisymmetric functionally graded material (FGM) thick-walled cylinder under internal pressure in-plane strain condition is presented. We assumed that the cylinder is made up of two different linear elastic materials and the volumetric fraction varied continuously and gradually through the radial direction. The thermo-mechanical properties are considered to be temperature-independent (TID) and defined by using the rule of mixture. The effects of the graded-index and Poisson's ratio on the stresses, strains and radial displacement are presented. The governing equations of an FGM cylinder are solved by using the non-linear shooting method and the Runge-Kutta fourth-order algorithm. The numerical solutions are obtained by writing the code of the governing equation in python open-access environment software package. The analytical solutions of a homogeneous cylinder are performed to validate the numerical solutions of an FGM cylinder. The results are presented in graphical form. The results show that the graded-index and Poisson's ratio have remarkable influences on the response of stresses, strains, and displacement distributions across the radial direction. But, both graded-index and Poisson's ratios have insignificant impacts on the radial stress of a pressurized FGM cylinder. Furthermore, the graded-index has a great significant effect on the material properties variations through the radial direction.
format	article
author	Yihunie Mognhod Bezzie Dereje Engida Woldemichael
author_facet	Yihunie Mognhod Bezzie Dereje Engida Woldemichael
author_sort	Yihunie Mognhod Bezzie
title	Effects of graded-index and Poisson's ratio on elastic-solutions of a pressurized functionally graded material thick-walled cylinder
title_short	Effects of graded-index and Poisson's ratio on elastic-solutions of a pressurized functionally graded material thick-walled cylinder
title_full	Effects of graded-index and Poisson's ratio on elastic-solutions of a pressurized functionally graded material thick-walled cylinder
title_fullStr	Effects of graded-index and Poisson's ratio on elastic-solutions of a pressurized functionally graded material thick-walled cylinder
title_full_unstemmed	Effects of graded-index and Poisson's ratio on elastic-solutions of a pressurized functionally graded material thick-walled cylinder
title_sort	effects of graded-index and poisson's ratio on elastic-solutions of a pressurized functionally graded material thick-walled cylinder
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/a0fa7f0e2e56420abeeab8fecef247ed
work_keys_str_mv	AT yihuniemognhodbezzie effectsofgradedindexandpoissonsratioonelasticsolutionsofapressurizedfunctionallygradedmaterialthickwalledcylinder AT derejeengidawoldemichael effectsofgradedindexandpoissonsratioonelasticsolutionsofapressurizedfunctionallygradedmaterialthickwalledcylinder
_version_	1718424995588210688

Effects of graded-index and Poisson's ratio on elastic-solutions of a pressurized functionally graded material thick-walled cylinder

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