FRICTIONLESS CONTACT OF A RIGID CONICAL FRUSTUM INDENTING A TRANSVERSELY ISOTROPIC FUNCTIONALLY GRADED HALF SPACE

ABSTRACT This paper is concerned with the problem of frictionless contact between a rigid axially symmetric conical frustum and an elastic half space of transversely isotropic and functionally graded material. The frustum is under the action of axial load causing it to press the half space normally. The investigation focuses on determining the contact pressure, contact area and the load-contact area relationship. The solution of the mathematical model corresponding to this problem has been e effected through use of Hankel transforms of different order on field equations and reducing the system of equations to a Cauchy type singular integral equation. Applying standard numerical method the equations are solved and the results of the investigation are displayed graphically.