Abstract: A parametric equation to establish velocity field for the indentation of semi-infinite medium by a flat-round punch was proposed, and corresponding parametric integration to deformation power was performed as a new method in this paper. A minimal analytical upper-bound solution of stress state factor for the indentation was obtained. The result is shown to be lower than that of triangle velocity field for the plane-strain indentation.

Key words: axisymmetric indentation, combined analysis, parametric equation, analytical solution