Functionally graded thick-walled tubes analysis by numerical methods

Functionally graded materials are increasingly used in the practice of engineering design, as is the case with thick-walled tubes. The use of these constructive elements requires a calculation, which should be as accurate, as accessible and as fast as possible. The present work responds to these req...

Full description

Bibliographic Details
Main Authors: Vasile Nastasescu, Silvia Marzavan
Format: Article
Language:English
Published: Elsevier 2024-03-01
Series:Heliyon
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2405844024033401
_version_ 1797259707071594496
author Vasile Nastasescu
Silvia Marzavan
author_facet Vasile Nastasescu
Silvia Marzavan
author_sort Vasile Nastasescu
collection DOAJ
description Functionally graded materials are increasingly used in the practice of engineering design, as is the case with thick-walled tubes. The use of these constructive elements requires a calculation, which should be as accurate, as accessible and as fast as possible. The present work responds to these requirements. For the calculation of tubes with thick walls made of functionally graded materials, two new ways were used, based on the concepts of multilayer (material) wall and equivalent material. The multi-layered wall concept considers the tube wall made of several layers, as in the case of the well-known multilayer plates, and the equivalent material concept considers the thick-walled tube made of homogeneous and isotropic material, but with fictitious properties, equivalent in behavior to the functionally graded material. The influence of Poisson's ratio is illustrated by some comparative results. The development of the calculus, the validation of the models and the analysis of the results are based on the numerical calculus using the finite element method. The models used, the transverse plane model, the axial-symmetric plane model and the 3D longitudinal model, are made in several variants regarding the fineness of the mesh. The paper also analyzes the influence of the Poisson ratio variation, compared to adopting a constant value. The results of the study, the models and concepts used are useful to specialists and designers of structures of this type, they have a high degree of generality and present openings for the use of other calculation methods.
first_indexed 2024-04-24T23:13:42Z
format Article
id doaj.art-5c6854dac5f4413ea157c2b22c050732
institution Directory Open Access Journal
issn 2405-8440
language English
last_indexed 2024-04-24T23:13:42Z
publishDate 2024-03-01
publisher Elsevier
record_format Article
series Heliyon
spelling doaj.art-5c6854dac5f4413ea157c2b22c0507322024-03-17T07:57:53ZengElsevierHeliyon2405-84402024-03-01105e27309Functionally graded thick-walled tubes analysis by numerical methodsVasile Nastasescu0Silvia Marzavan1Corresponding author.; Military Technical Academy “Ferdinand I”, Bucharest, RomaniaMilitary Technical Academy “Ferdinand I”, Bucharest, RomaniaFunctionally graded materials are increasingly used in the practice of engineering design, as is the case with thick-walled tubes. The use of these constructive elements requires a calculation, which should be as accurate, as accessible and as fast as possible. The present work responds to these requirements. For the calculation of tubes with thick walls made of functionally graded materials, two new ways were used, based on the concepts of multilayer (material) wall and equivalent material. The multi-layered wall concept considers the tube wall made of several layers, as in the case of the well-known multilayer plates, and the equivalent material concept considers the thick-walled tube made of homogeneous and isotropic material, but with fictitious properties, equivalent in behavior to the functionally graded material. The influence of Poisson's ratio is illustrated by some comparative results. The development of the calculus, the validation of the models and the analysis of the results are based on the numerical calculus using the finite element method. The models used, the transverse plane model, the axial-symmetric plane model and the 3D longitudinal model, are made in several variants regarding the fineness of the mesh. The paper also analyzes the influence of the Poisson ratio variation, compared to adopting a constant value. The results of the study, the models and concepts used are useful to specialists and designers of structures of this type, they have a high degree of generality and present openings for the use of other calculation methods.http://www.sciencedirect.com/science/article/pii/S2405844024033401Functionally graded materialThick-walled tubeFinite element methodEquivalent material modelMulti-layer wall
spellingShingle Vasile Nastasescu
Silvia Marzavan
Functionally graded thick-walled tubes analysis by numerical methods
Heliyon
Functionally graded material
Thick-walled tube
Finite element method
Equivalent material model
Multi-layer wall
title Functionally graded thick-walled tubes analysis by numerical methods
title_full Functionally graded thick-walled tubes analysis by numerical methods
title_fullStr Functionally graded thick-walled tubes analysis by numerical methods
title_full_unstemmed Functionally graded thick-walled tubes analysis by numerical methods
title_short Functionally graded thick-walled tubes analysis by numerical methods
title_sort functionally graded thick walled tubes analysis by numerical methods
topic Functionally graded material
Thick-walled tube
Finite element method
Equivalent material model
Multi-layer wall
url http://www.sciencedirect.com/science/article/pii/S2405844024033401
work_keys_str_mv AT vasilenastasescu functionallygradedthickwalledtubesanalysisbynumericalmethods
AT silviamarzavan functionallygradedthickwalledtubesanalysisbynumericalmethods