Characteristics of local compliance of an elastic body under a small punch indented into the plane part of its boundary
I. I. Argatov
Makarov State Marine Academy, St. Petersburg 199106
Abstract
An asymptotic solution of the contact
problem of an elastic body indented
(without friction) by a circular punch
with a flat base is obtained under the
assumption of a small relative size of
the contact zone. The resulting formulas
involve integral characteristics of the
elastic body, which depend on its shape,
dimensions, fixing conditions, Poisson's
ratio, and location of the punch center.
These quantities have the mechanical
meaning of the coefficients of local
compliance of the elastic body.
Relations that, generally, reduce the
number of independent coefficients in
the asymptotic expansion are obtained on
the basis of the reciprocal theorem.
Some coefficients of local compliance at
the center of an elastic hemisphere are
calculated numerically. The asymptotic
model of an elastic body loaded by a
point force is discussed.
P.147-153
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