Lamb's plane problem in a thermo-elastic micropolar medium with stretch

A study is made of the Lamb plane problem in a thermo-elastic micropolar medium with the effect of stretch. The problem is solved for an arbitrary, normal load distribution by using the double Fourier transform. The displacement components, force stress, couple stress, vector first moment and the te...

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Main Authors: T. K. Chadha, Rajneesh Kumar, Lokenath Bebnath
Format: Article
Language:English
Published: Wiley 1987-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171287000231
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author T. K. Chadha
Rajneesh Kumar
Lokenath Bebnath
author_facet T. K. Chadha
Rajneesh Kumar
Lokenath Bebnath
author_sort T. K. Chadha
collection DOAJ
description A study is made of the Lamb plane problem in a thermo-elastic micropolar medium with the effect of stretch. The problem is solved for an arbitrary, normal load distribution by using the double Fourier transform. The displacement components, force stress, couple stress, vector first moment and the temperature field are determined for a half space subjected to an arbitrary normal load. Two special cases of a horizontal force and a torque which are oscillating with a frequency ω have been investigated. It is shown that results of this analysis reduce to those without stretch.
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1987-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-24175a0077df4b31864bc0c1bae026fc2025-02-03T01:30:48ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251987-01-0110118719810.1155/S0161171287000231Lamb's plane problem in a thermo-elastic micropolar medium with stretchT. K. Chadha0Rajneesh Kumar1Lokenath Bebnath2Department of Mathematics, Guru Nanak Dev University, Amritsar, IndiaDepartment of Mathematics, Guru Nanak Dev University, Amritsar, IndiaDepartment of Mathematics, University of Central Florida, Orlando, Florida 32816, USAA study is made of the Lamb plane problem in a thermo-elastic micropolar medium with the effect of stretch. The problem is solved for an arbitrary, normal load distribution by using the double Fourier transform. The displacement components, force stress, couple stress, vector first moment and the temperature field are determined for a half space subjected to an arbitrary normal load. Two special cases of a horizontal force and a torque which are oscillating with a frequency ω have been investigated. It is shown that results of this analysis reduce to those without stretch.http://dx.doi.org/10.1155/S0161171287000231Lamb's problemFourier transformand micropolar medium.
spellingShingle T. K. Chadha
Rajneesh Kumar
Lokenath Bebnath
Lamb's plane problem in a thermo-elastic micropolar medium with stretch
International Journal of Mathematics and Mathematical Sciences
Lamb's problem
Fourier transform
and micropolar medium.
title Lamb's plane problem in a thermo-elastic micropolar medium with stretch
title_full Lamb's plane problem in a thermo-elastic micropolar medium with stretch
title_fullStr Lamb's plane problem in a thermo-elastic micropolar medium with stretch
title_full_unstemmed Lamb's plane problem in a thermo-elastic micropolar medium with stretch
title_short Lamb's plane problem in a thermo-elastic micropolar medium with stretch
title_sort lamb s plane problem in a thermo elastic micropolar medium with stretch
topic Lamb's problem
Fourier transform
and micropolar medium.
url http://dx.doi.org/10.1155/S0161171287000231
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AT rajneeshkumar lambsplaneprobleminathermoelasticmicropolarmediumwithstretch
AT lokenathbebnath lambsplaneprobleminathermoelasticmicropolarmediumwithstretch