Axisymmetric problem on the indentation of a hot circular punch into an arbitrarily nonhomogeneous half-space

作者：Krenev Leonid I; Aizikovich Sergey M^*; Tokovyy Yuriy V; Wang Yun Che

来源：International Journal of Solids and Structures, 2015, 59: 18-28.

DOI：10.1016/j.ijsolstr.2014.12.017

• Contact problem
• Circular punch
• Arbitrarily nonhomogeneous half-space
• Integral equations

This paper addresses an axisymmetric quasi-static contact problem on both thermal and mechanical interactions of a circular punch and a nonhomogeneous elastic half-space whose mechanical and thermophysical properties are assumed to be arbitrary functions of the depth coordinate. To solve the formulated boundary value problem, the technique of Hankers integral transformation is used. Using the bilateral asymptotic method, an approximate analytical-numerical solution is constructed for the heat flux, boundary displacements of the half-space, and contact stress under the punch. Numerical implementation is performed for different dependences of the material properties on the depth of the halfspace.

• 出版日期2015-5-1