Random process model of rough surfaces contact

Abstract

This paper discusses rough surfaces contact phenomena and in particular examines surfaces machined with abrasive instruments. The nature of surface roughness obtained as a result of this type of mechanical treatment can be described by the random field of two variables. Attention is paid to three-dimensional surface roughness parameters whose statistical characteristics are determined by the simple rough surface model: for an anisotropic random field obtained by mathematical stretching of an isotropic random field. Consideration is given to surface contacts: rough and smooth surface interaction and the contact of two rough surfaces. Two types of asperities contact are examined: plastic and elastic. The criteria for contact type have been developed. Contact theory is used for the calculation of contact resistance in welding and of wear intensity. The equations obtained reveal that all of them contain one surface roughness height parameter and two spacing parameters.

A Novel Image Probing System for Precise Quantification of Angiogenesis

“…A larger Sci indicates a good fluid retention. For a Gaussian surface, this index is about 1.56 78 • Sci values of normal and angiogenic CAMs were 1.19 ± 0.14 and 1.44 ± 0.21, respectively. Hence there was more fluid retention in the blood vessels of angiogenic CAMs than those of normal CAMs.…”

Heat distribution in resistance upset butt welding

“…Similarly in the finite element model constructed for resistance spot welding by Feulvarch et al (2004) resistance is not treated explicitly, nor is a spatially variable contact resistance included in the analytical model of Chen and Farson (2006). The influence of surface roughness on electrical contact resistance in microwelding is determined from an analysis of mechanical surface contact by Rudzitis et al (1998) who indicate a contact resistance R C inversely proportional to the square of the applied pressure P…”

A Novel 3-D Model of Chick Chorioallantoic Membrane for Ameliorated Studies in Angiogenesis

“…Sci is the ratio of the void volume of the unit sampling area at the core zone over the root mean square deviation. This vital parameter of 3-D quantitation is used for determination of fluid retention in that surface (36) and larger Sci value designates good fluid retention. Quantifying all these parameters of 3-D image probing analysis can give us a detailed insight of microvasculature at that surface.…”