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This paper discusses axially symmetric contact problems of rigid punch and
poroelastic foundation interaction employing Cowin-Nunziato linear poroelasticity model. It
is assumed that the punch base has a flat or parabolic shape, and the contact friction is
neglected. Using Hankel's integral transform the considered contact problem is reduced to a
solution of a singular integral equation with unknown contact stress. To solve this integral
equation, the collocation technique is used. In the case of parabolic punch, the contact
pressure and the contact area were calculated. Then it is investigated the relation between the
force applied to the punch and its displacement, which is one of the main characteristics in
material properties determination by means of instrumented indentation method. A
comparative analysis of considered quantities for various porosity values was carried out.
Keywords: contact problem, porous materials, poroelasticity, Cowin-Nunziato model, axisymmetric contact problem, collocation method, instrumented indentation test |
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