Elastodynamic Contact In Plate-like Bodies
Author(s)
R. Sburlati
Abstract
In this paper the dynamic problem of the frictionless normal low velocity impact
of a rigid sphere against an elastic plate-like body is studied by assuming that the
period of duration of the impact is much larger than the time employed by the
elastic waves in traversing the plate after the first impact, using a static contact
law taking into account the thickness of the plate and a Hertzian pressure
distribution between the sphere and the plate is adopted. A non-linear second
order ordinary differential equation for the dynamical value of the indentation is
obtained and, by using a perturbative technique, numerical solutions concerning
the contact period, the maximum contact force and the maximum indentation in
terms of the plate thickness are obtained. Numerical investigations show how the
time of collision decreases with the increasing of the thickness-to plate radius
ratio, the maximum indentation decreases and the maximum contact force
increases. All these values approach Hertz’s values when the plate thickness
increases. It is remarked that the solution presented here is valid only when the
contact area radius is \“small” in comparison to the plate thickness; if this
assumption is not satisfied, the contact pressure distribution deviates
significantly from the Hertzian prediction.
Keywords: contact mechanics, dynamical impact, elasticity theory, elastic plate.
1 Introduction
In this paper the dynamic problem of the frictionless normal low velocity impact
of a rigid sphere against an elastic plate-like body is studied. In a dynamical
framework an impact law taking into account the period load frequency and the
thickness of the plate was obtained in [1]; nevertheless, if the period of duration
of the impact is assumed much larger than the time employed by the elastic
Keywords
contact mechanics, dynamical impact, elasticity theory, elastic plate.
Related Book
Other papers in this volume
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