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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Format: | Article |
Language: | English |
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Wiley
1987-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
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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. |
format | Article |
id | doaj-art-24175a0077df4b31864bc0c1bae026fc |
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 |
work_keys_str_mv | AT tkchadha lambsplaneprobleminathermoelasticmicropolarmediumwithstretch AT rajneeshkumar lambsplaneprobleminathermoelasticmicropolarmediumwithstretch AT lokenathbebnath lambsplaneprobleminathermoelasticmicropolarmediumwithstretch |