Response due to mechanical source in second axisymmetric problem of micropolar elastic medium

The second axisymmetric problem in a micropolar elastic medium has been investigated by employing an eigen value approach after applying the Laplace and the Hankel transforms. An example of infinite space with concentrated force at the origin has been presented to illustrate the application of the a...

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Main Author: R. Singh
Format: Article
Language:English
Published: University of Zielona Góra 2013-12-01
Series:International Journal of Applied Mechanics and Engineering
Subjects:
Online Access:https://www.ijame-poland.com/Response-due-to-mechanical-source-in-second-axisymmetric-problem-of-micropolar-elastic,167291,0,2.html
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author R. Singh
author_facet R. Singh
author_sort R. Singh
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description The second axisymmetric problem in a micropolar elastic medium has been investigated by employing an eigen value approach after applying the Laplace and the Hankel transforms. An example of infinite space with concentrated force at the origin has been presented to illustrate the application of the approach. The integral transforms have been inversed by using a numerical technique to obtain the components of microrotation, displacement, force stress and couple stress in the physical domain. The results for these quantities are given and illustratred graphically.
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spelling doaj.art-0c159d3af55a48c287a797aee636de9e2023-08-08T14:27:24ZengUniversity of Zielona GóraInternational Journal of Applied Mechanics and Engineering1734-44922353-90032013-12-011841249126110.2478/ijame-2013-0076167291Response due to mechanical source in second axisymmetric problem of micropolar elastic mediumR. Singh0Department of Mathematics S.G.A.D. Govt. College Tarn Taran, Punjab, INDIA-143401The second axisymmetric problem in a micropolar elastic medium has been investigated by employing an eigen value approach after applying the Laplace and the Hankel transforms. An example of infinite space with concentrated force at the origin has been presented to illustrate the application of the approach. The integral transforms have been inversed by using a numerical technique to obtain the components of microrotation, displacement, force stress and couple stress in the physical domain. The results for these quantities are given and illustratred graphically.https://www.ijame-poland.com/Response-due-to-mechanical-source-in-second-axisymmetric-problem-of-micropolar-elastic,167291,0,2.htmleigen valuemicropolar elastic mediumlaplace transformshankel transformsconcentrated forcemicrorotationrhomberg’s integration
spellingShingle R. Singh
Response due to mechanical source in second axisymmetric problem of micropolar elastic medium
International Journal of Applied Mechanics and Engineering
eigen value
micropolar elastic medium
laplace transforms
hankel transforms
concentrated force
microrotation
rhomberg’s integration
title Response due to mechanical source in second axisymmetric problem of micropolar elastic medium
title_full Response due to mechanical source in second axisymmetric problem of micropolar elastic medium
title_fullStr Response due to mechanical source in second axisymmetric problem of micropolar elastic medium
title_full_unstemmed Response due to mechanical source in second axisymmetric problem of micropolar elastic medium
title_short Response due to mechanical source in second axisymmetric problem of micropolar elastic medium
title_sort response due to mechanical source in second axisymmetric problem of micropolar elastic medium
topic eigen value
micropolar elastic medium
laplace transforms
hankel transforms
concentrated force
microrotation
rhomberg’s integration
url https://www.ijame-poland.com/Response-due-to-mechanical-source-in-second-axisymmetric-problem-of-micropolar-elastic,167291,0,2.html
work_keys_str_mv AT rsingh responseduetomechanicalsourceinsecondaxisymmetricproblemofmicropolarelasticmedium