TY  - CHAP
Y1  - 2005///
N1  - 17th AIMETA Congress of Theoretical and Applied Mechanics, Firenze, Italy, September 11-15, 2005
TI  - Cyclic Micro-slip and Energy Dissipation on Elastic Rough Interfaces
PB  - Firenze University Press
UR  - http://eprints.imtlucca.it/1933/
T2  - AIMETA 2005 : atti del XVII Congresso dell?Associazione italiana di meccanica teorica e applicata : Firenze, 11-15 settembre 2005
A1  - Borri Brunetto, Mauro
A1  - Invernizzi, Stefano
A1  - Paggi, Marco
A1  - Carpinteri, Alberto
AV  - none
SN  - 88-8453-313-9
KW  - cyclic tangential contact
KW  -  rough interfaces
KW  -  fractals
ID  - eprints1933
N2  - 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
? . 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 
? , 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 ? 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.
ER  -