%0 Book Section
%A Borri Brunetto, Mauro
%A Invernizzi, Stefano
%A Paggi, Marco
%A Carpinteri, Alberto
%B AIMETA 2005 : atti del XVII Congresso dell’Associazione italiana di meccanica teorica e applicata : Firenze, 11-15 settembre 2005
%D 2005
%F eprints:1933
%I Firenze University Press
%K cyclic tangential contact, rough interfaces, fractals
%T Cyclic Micro-slip and Energy Dissipation on Elastic Rough Interfaces
%U http://eprints.imtlucca.it/1933/
%X A generalized approach is proposed, following the Mindlin and Deresiewicz procedure, to study  the cyclic behavior of surfaces in contact under a small oscillating tangential force. In order to  make the procedure straightforward and as general as possible, a non-dimensional formulation,  based only on the normal contact load-displacement curve, has been provided. It turns out that the  non-dimensional behavior under normal or tangential loading, as well as the energy dissipation  involved in cyclic loading, strongly depends on the exponent  α . This exponent can be calculated  explicitly in the case of profiles described by mathematical expressions (e.g. cylinders and  spheres), or can be determined from best fitting of experimental or numerical data (e.g. from  ICARUS simulations).  The larger is the exponent   α , the larger is the energy dissipated in small amplitude (partialslip)  tangential cycles.  Moreover, a comparison has been provided, without any claims of completeness, among some  of the theoretical models for the tangential interaction of rough surfaces available in the literature.  The calculation of the exponent α allows us to show the influence of different statistical  distribution assumptions of surface heights on the hysteretic energy dissipation.  Finally, the stick-slip behavior of rough surfaces subjected to oscillating loads has been  interpreted in terms of an analogy with the shake-down phenomenon described by the theory of  plasticity.
%Z 17th AIMETA Congress of Theoretical and Applied Mechanics, Firenze, Italy, September 11-15, 2005