Eigen Value Approach in Micropolar Elastic Medium with Voids
The eigen value approach, following the Laplace and Hankel transformation has been employed to find a general solution of the field equations in a micropolar elastic medium with voids for an axisymmetric problem. An infinite space with the mechanical source has been applied to illustrate the utility...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Zielona Góra
2013-06-01
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| Series: | International Journal of Applied Mechanics and Engineering |
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| Online Access: | https://www.ijame-poland.com/Eigen-Value-Approach-in-Micropolar-Elastic-Medium-with-Voids,167331,0,2.html |
| _version_ | 1827873770987061248 |
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| author | R. Singh K. Singh |
| author_facet | R. Singh K. Singh |
| author_sort | R. Singh |
| collection | DOAJ |
| description | The eigen value approach, following the Laplace and Hankel transformation has been employed to find a general solution of the field equations in a micropolar elastic medium with voids for an axisymmetric problem. An infinite space with the mechanical source has been applied to illustrate the utility of the approach. The integral transformations has been inverted by using a numerical inversion technique to get the result in physical domain. The results in the form of normal displacement, volume fraction, normal force stress, tangential force stress and tangential couple stress components have been obtained numerically and illustrated graphically. |
| first_indexed | 2024-03-12T16:41:47Z |
| format | Article |
| id | doaj.art-cc3061ae86a04d909e1b2fb42da1c5ea |
| institution | Directory Open Access Journal |
| issn | 1734-4492 2353-9003 |
| language | English |
| last_indexed | 2024-03-12T16:41:47Z |
| publishDate | 2013-06-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | International Journal of Applied Mechanics and Engineering |
| spelling | doaj.art-cc3061ae86a04d909e1b2fb42da1c5ea2023-08-08T14:27:06ZengUniversity of Zielona GóraInternational Journal of Applied Mechanics and Engineering1734-44922353-90032013-06-0118252153610.2478/ijame-2013-0031167331Eigen Value Approach in Micropolar Elastic Medium with VoidsR. Singh0K. Singh1Department of Mathematics, S.G.A.D. Govt. College Tarn Taran-143401, Punjab, INDIADepartment of Mathematics, S.G.A.D. Govt. College Tarn Taran-143401, Punjab, INDIAThe eigen value approach, following the Laplace and Hankel transformation has been employed to find a general solution of the field equations in a micropolar elastic medium with voids for an axisymmetric problem. An infinite space with the mechanical source has been applied to illustrate the utility of the approach. The integral transformations has been inverted by using a numerical inversion technique to get the result in physical domain. The results in the form of normal displacement, volume fraction, normal force stress, tangential force stress and tangential couple stress components have been obtained numerically and illustrated graphically.https://www.ijame-poland.com/Eigen-Value-Approach-in-Micropolar-Elastic-Medium-with-Voids,167331,0,2.htmleigen valuevoidslaplace transformhankel transformconcentrated forceromberg’s integration |
| spellingShingle | R. Singh K. Singh Eigen Value Approach in Micropolar Elastic Medium with Voids International Journal of Applied Mechanics and Engineering eigen value voids laplace transform hankel transform concentrated force romberg’s integration |
| title | Eigen Value Approach in Micropolar Elastic Medium with Voids |
| title_full | Eigen Value Approach in Micropolar Elastic Medium with Voids |
| title_fullStr | Eigen Value Approach in Micropolar Elastic Medium with Voids |
| title_full_unstemmed | Eigen Value Approach in Micropolar Elastic Medium with Voids |
| title_short | Eigen Value Approach in Micropolar Elastic Medium with Voids |
| title_sort | eigen value approach in micropolar elastic medium with voids |
| topic | eigen value voids laplace transform hankel transform concentrated force romberg’s integration |
| url | https://www.ijame-poland.com/Eigen-Value-Approach-in-Micropolar-Elastic-Medium-with-Voids,167331,0,2.html |
| work_keys_str_mv | AT rsingh eigenvalueapproachinmicropolarelasticmediumwithvoids AT ksingh eigenvalueapproachinmicropolarelasticmediumwithvoids |