Article ID Journal Published Year Pages File Type
785215 International Journal of Non-Linear Mechanics 2011 10 Pages PDF
Abstract

The paper presents mathematical modeling of the non-linear constitutive relation for bolted joints in the framework of the Kragelsky–Demkin theory of rough contact. It is shown that this approach, which maintains the tribology-related features of bolted joint interfaces, leads to a singular Iwan distribution density. In particular, we show that the Iwan density is expressed in terms of the height distribution density of the surface asperities, whereas its singular exponent is determined by the shape exponent of the surface asperities. Following this, constitutive relations for lap joints and the corresponding backbone (force-deflection) curves are obtained. Finally, Masing's hypothesis is applied and Goodman's relation for energy dissipation is recovered in order to describe the effects of cyclic loading. The two cases of a rough surface in contact with a flat surface and of two contacting rough surfaces are treated separately.

Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
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