STRESS DISTRIBUTION IN A WEDGE-SHAPED ELASTIC SOLID INDENTED BY TWO RIGID PUNCHES

B. M. Singh (Canada), J. Rokne (Canada) and R. S. Dhaliwal (Canada)

Received April 14, 2008

Abstract

In this paper, we consider within the framework of classical elasticity under assumptions pertinent to plane strain, the problem of analytically finding the distribution of stress in a wedge-shaped homogeneous isotropic elastic solid, when the plane faces are indented by rigid punches of unequal size away from the apex of the wedge. The solution of the three resulting parts mixed boundary value problem is reduced to the solution of triple integral equations involving Mellin transforms. Closed form solutions of the triple integral equations are obtained and the displacement component and resultant pressure on the faces are expressed in closed form. Numerical values for the resultant pressure are given in the form of a table. The results may be applicable to certain foundation problems.

Keywords and phrases: elasticity, stress distribution, wedge-shaped solid