The axisymmetric Boussinesq-type problem for a half-space under optimal heating of arbitrary profile
A solution of the axisymmetric Boussinesq-type problem is derived for transient thermal stresses in a half-space under heating by using the Laplace and Hankel transforms. An analytical method is developed to predict the temperature field that satisfies the prescribed mechanical conditions. Several s...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204308227 |
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| _version_ | 1832548441701482496 |
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| author | J. Rokne B. M. Singh R. S. Dhaliwal J. Vrbik |
| author_facet | J. Rokne B. M. Singh R. S. Dhaliwal J. Vrbik |
| author_sort | J. Rokne |
| collection | DOAJ |
| description | A solution of the axisymmetric Boussinesq-type problem is derived for transient thermal stresses in a half-space under heating by using the Laplace and Hankel transforms. An analytical method is developed to predict the temperature field that satisfies the prescribed mechanical conditions. Several simple shapes of punches of arbitrary profile are considered and an expression for the total load is derived to achieve penetration. The numerical results for the temperature and the total load on the punch are shown graphically. |
| format | Article |
| id | doaj-art-f74814bcc20b48c48e9bce71ea14c22d |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-f74814bcc20b48c48e9bce71ea14c22d2025-02-03T06:14:08ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004402123213110.1155/S0161171204308227The axisymmetric Boussinesq-type problem for a half-space under optimal heating of arbitrary profileJ. Rokne0B. M. Singh1R. S. Dhaliwal2J. Vrbik3Department of Computer Science, University of Calgary, Calgary, Alberta T2N 1N4, CanadaDepartment of Mathematics and Statistics, University of Calgary, Calgary, Alberta T2N 1N4, CanadaDepartment of Mathematics and Statistics, University of Calgary, Calgary, Alberta T2N 1N4, CanadaDepartment of Mathematics, Brock University, St. Catharines, Ontario L2S 3A1, CanadaA solution of the axisymmetric Boussinesq-type problem is derived for transient thermal stresses in a half-space under heating by using the Laplace and Hankel transforms. An analytical method is developed to predict the temperature field that satisfies the prescribed mechanical conditions. Several simple shapes of punches of arbitrary profile are considered and an expression for the total load is derived to achieve penetration. The numerical results for the temperature and the total load on the punch are shown graphically.http://dx.doi.org/10.1155/S0161171204308227 |
| spellingShingle | J. Rokne B. M. Singh R. S. Dhaliwal J. Vrbik The axisymmetric Boussinesq-type problem for a half-space under optimal heating of arbitrary profile International Journal of Mathematics and Mathematical Sciences |
| title | The axisymmetric Boussinesq-type problem for a half-space under optimal heating of arbitrary profile |
| title_full | The axisymmetric Boussinesq-type problem for a half-space under optimal heating of arbitrary profile |
| title_fullStr | The axisymmetric Boussinesq-type problem for a half-space under optimal heating of arbitrary profile |
| title_full_unstemmed | The axisymmetric Boussinesq-type problem for a half-space under optimal heating of arbitrary profile |
| title_short | The axisymmetric Boussinesq-type problem for a half-space under optimal heating of arbitrary profile |
| title_sort | axisymmetric boussinesq type problem for a half space under optimal heating of arbitrary profile |
| url | http://dx.doi.org/10.1155/S0161171204308227 |
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