Figure 3
From: Depth-dependent hysteresis in adhesive elastic contacts at large surface roughness
The MD model of adhesive elastic contact. (a) Geometry of the contacting solids. (b) The Dugdale cohesive zone, which is assumed to be present at the contact periphery (marked by the dashed box in (a)) as per the MD theory. The vector \({\hat{{\bf{e}}}}_{3}\) belongs to the set of Cartesian unit basis vectors, \({\{{\hat{{\bf{e}}}}_{i}\}}_{i=1,2,3}\), which is defined in Fig. 6(a). The symbol r denotes the radial coordinate in the plane spanned by \({\hat{{\bf{e}}}}_{1}\), \({\hat{{\bf{e}}}}_{2}\). The datum of r lies on the axial symmetry axis of the contacting solids. (c) A schematic diagram showing the traction distribution t3 as a function of the separation [u3]. The traction \({t}_{3}={\hat{{\bf{e}}}}_{3}\cdot ({\boldsymbol{\sigma }}{\hat{{\bf{e}}}}_{3})\), where σ is the Cauchy stress tensor. The parameters Z0 and σ0 are defined in the text.
