ANZIAM J.
44 (2003), 461-474
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Effects of an axisymmetric rigid punch on a nonhomogeneous transversely isotropic half-space
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P. K. Chaudhuri
Department of Applied Mathematics
University College of Science
92 A.P.C.Road
Calcutta 700 009
India
pkcha@vsnl.net
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Subhankar Ray
Department of Applied Mathematics
University College of Science
92 A.P.C.Road
Calcutta 700 009
India
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Abstract
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Elastic behaviour of a nonhomogeneous
transversely isotropic half-space is studied
under the action of a smooth rigid axisymmetric
indentor. Hankel transforms of different orders
have been used. It is observed that in contrast
to a homogeneous medium, the pressure
distribution in the contact region in a
nonhomogeneous medium is not directly available,
rather it is obtainable from the solution of a
Fredholm integral equation. The integral equation
is solved for a flat-ended punch and
paraboloidal indentations for various values of
the nonhomogeneity parameter, and the effects of
nonhomogeneity in elastic behaviour on stresses
have been shown graphically. The results of the
associated homogeneous case are readily
available from the results of the present study.
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