Nonlinear laws of dry friction in contact problems of linear theory of elasticity
A. E. Alekseev
Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090
Pages: 622-629
Abstract
A problem of elastic body deformation
with conditions of dry friction imposed
at the boundary is considered. Various
friction laws are studied, including
linear one-parameter and nonlinear two-
parameter laws. A general view of a
nonlinear function with two constants is
suggested, which determines the friction
force as a function of normal pressure.
The problem of elastic plate compression
by rough infinite plates for a variety
of friction conditions on the contact
surfaces is solved. The plate equations
are employed, which make it possible to
specify arbitrary conditions on the
front faces without reducing the order
of differential equations. The unknown
boundary of ideal contact zones and
sliding zones is determined. Solutions
obtained by using various friction
conditions on the contact surfaces are
compared.
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