文章基本信息

标题：The axisymmetric Boussinesq-type problem for a half-space under optimal heating of arbitrary profile
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作者：J. Rokne ; B. M. Singh ; R. S. Dhaliwal 等
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2004
卷号：2004
DOI：10.1155/S0161171204308227
出版社：Hindawi Publishing Corporation
摘要：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.