Contact of rectangular punch with rounded edges with a half-space
Keywords:
the contact interection, punch with rounded edges, the boundary element methodAbstract
Rectangular shape with rounded edges of a punch interacting with an elastic half-space represents an important case which is investigated in this paper. Boundary element method is applied for the analysis of contact interaction. Peculiar distributions of contact pressures on the interface between the rigid punch and the elastic foundation are obtained. Relation of the maximal value of contact pressure upon the punch geometry. In particular, the size of the punch and edge rounding radii were varied. It has been discovered that the localization of the maximal contact pressure for the small rounding radii is observed close to the rounding edge. However contact pressure rapidly drops to zero at the boundary of the contact spot. Meanwhile it has its minimal in the middle of the punch. To the contrary with increasing rounding the contact pressure in the middle of the punch gradually grows and becomes greater then in the rest of the contact spot. Furthermore, an elastic Winkler layer that models the rough interface is introduced. With the increase of its compliance the contact area grows, whilst the magnitude of the contact pressure drops. The developed approach to the analysis of contact interaction can be applied for bodies of various shape. Its formulation enables further extensions, since it is free from many essential limitations of traditional models of the mechanical contact.
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Copyright (c) 2015 Н. Н. Ткачук, А. Д. Чепурной, А. В. Литвиненко, Н. Б. Скрипченко, Н. А. Ткачук
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