A solution of 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.
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P. M. ; M. Gupta, "Axisymmetric Boussinesq problem for a heated punch of arbitrary profile in an elastic half space", Journal of Ultra Scientist of Physical Sciences, Volume 22, Issue 1, Page Number 71-78, 2018Copy the following to cite this URL:
P. M. ; M. Gupta, "Axisymmetric Boussinesq problem for a heated punch of arbitrary profile in an elastic half space", Journal of Ultra Scientist of Physical Sciences, Volume 22, Issue 1, Page Number 71-78, 2018Available from: https://www.ultrascientist.org/paper/1029/