Thermo–Elastic Stresses and Deformation Analysis of FG Rotating Hollow Spherical Body

In this paper, a generalized solution for 1-D steady-state thermo-mechanical analysis of the FG rotating hollow spherical body is presented. Deformation and stresses are calculated for a spherical body subjected to rotation, gravitation force, and uniform heat generation. Temperature distribution wi...

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Main Authors: Lakshman Sondhi, Rakesh Sahu, Shubhankar Bhowmick, Amit Thawait
Format: Article
Language:English
Published: Semnan University 2022-04-01
Series:Mechanics of Advanced Composite Structures
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Online Access:https://macs.semnan.ac.ir/article_6216_9855b4e942f0309d78477da830e9dbc4.pdf
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author Lakshman Sondhi
Rakesh Sahu
Shubhankar Bhowmick
Amit Thawait
author_facet Lakshman Sondhi
Rakesh Sahu
Shubhankar Bhowmick
Amit Thawait
author_sort Lakshman Sondhi
collection DOAJ
description In this paper, a generalized solution for 1-D steady-state thermo-mechanical analysis of the FG rotating hollow spherical body is presented. Deformation and stresses are calculated for a spherical body subjected to rotation, gravitation force, and uniform heat generation. Temperature distribution with uniform heat generation to the spherical body is assumed to vary along the radius. General thermal and mechanical boundary conditions at the inner surface and outer surfaces of the hollow spherical body are applied. Material properties are assumed as a power function of the radius with grading indices ranging from -2 to 3. Governing differential equation for the FG spherical body is developed and solved analytically. The obtained results are verified with benchmark results and are found to be in very good agreement. The result shows that deformation and stresses in the FG body are less compared to the homogeneous material body and the same is reported to decrease with increasing value of the grading parameter.
format Article
id doaj-art-5e1301b395f045b085f95fd179d221da
institution Kabale University
issn 2423-4826
2423-7043
language English
publishDate 2022-04-01
publisher Semnan University
record_format Article
series Mechanics of Advanced Composite Structures
spelling doaj-art-5e1301b395f045b085f95fd179d221da2024-12-16T21:03:28ZengSemnan UniversityMechanics of Advanced Composite Structures2423-48262423-70432022-04-019112513610.22075/macs.2022.20916.12806216Thermo–Elastic Stresses and Deformation Analysis of FG Rotating Hollow Spherical BodyLakshman Sondhi0Rakesh Sahu1Shubhankar Bhowmick2Amit Thawait3Mechanical Engineering Department, Shri Shankaracharya Technical Campus SSGI Bhilai, IndiaMechanical Engineering Department, Shri Shankaracharya Technical Campus, SSGI Bhilai, IndiaDepartment of Mechanical Engineering, National Institute of Technology Raipur, CG, IndiaMechanical Engineering Department, Indian Institute of Technology Bombay, Mumbai IndiaIn this paper, a generalized solution for 1-D steady-state thermo-mechanical analysis of the FG rotating hollow spherical body is presented. Deformation and stresses are calculated for a spherical body subjected to rotation, gravitation force, and uniform heat generation. Temperature distribution with uniform heat generation to the spherical body is assumed to vary along the radius. General thermal and mechanical boundary conditions at the inner surface and outer surfaces of the hollow spherical body are applied. Material properties are assumed as a power function of the radius with grading indices ranging from -2 to 3. Governing differential equation for the FG spherical body is developed and solved analytically. The obtained results are verified with benchmark results and are found to be in very good agreement. The result shows that deformation and stresses in the FG body are less compared to the homogeneous material body and the same is reported to decrease with increasing value of the grading parameter.https://macs.semnan.ac.ir/article_6216_9855b4e942f0309d78477da830e9dbc4.pdffunctionally graded materialhollow spherical bodyaxisymmetric bodyanalytical methodgrading index
spellingShingle Lakshman Sondhi
Rakesh Sahu
Shubhankar Bhowmick
Amit Thawait
Thermo–Elastic Stresses and Deformation Analysis of FG Rotating Hollow Spherical Body
Mechanics of Advanced Composite Structures
functionally graded material
hollow spherical body
axisymmetric body
analytical method
grading index
title Thermo–Elastic Stresses and Deformation Analysis of FG Rotating Hollow Spherical Body
title_full Thermo–Elastic Stresses and Deformation Analysis of FG Rotating Hollow Spherical Body
title_fullStr Thermo–Elastic Stresses and Deformation Analysis of FG Rotating Hollow Spherical Body
title_full_unstemmed Thermo–Elastic Stresses and Deformation Analysis of FG Rotating Hollow Spherical Body
title_short Thermo–Elastic Stresses and Deformation Analysis of FG Rotating Hollow Spherical Body
title_sort thermo elastic stresses and deformation analysis of fg rotating hollow spherical body
topic functionally graded material
hollow spherical body
axisymmetric body
analytical method
grading index
url https://macs.semnan.ac.ir/article_6216_9855b4e942f0309d78477da830e9dbc4.pdf
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AT rakeshsahu thermoelasticstressesanddeformationanalysisoffgrotatinghollowsphericalbody
AT shubhankarbhowmick thermoelasticstressesanddeformationanalysisoffgrotatinghollowsphericalbody
AT amitthawait thermoelasticstressesanddeformationanalysisoffgrotatinghollowsphericalbody