On The Indentation Of A Membrane Reinforced Elastic Halfspace: Analytical And Computational Approaches
Author(s)
A.P.S. Selvadurai, K. Willner & L. Gaul
Abstract
On the indentation of a membrane
reinforced elastic halfspace: analytical
and computational approaches
A.P.S. Selvadurai^, K. Willne/'^ & L.Gaul<^>
^Department of Civil Engineering and Applied Mechanics
McGill University, Canada
* 'Institut A fur Mechanik, Univer sit at Stuttgart, Germany
Abstract
This paper examines the problem of the surface indentation of an isotropic
elastic halfspace, which is reinforced by an inextensible membrane and
subjected to indentation by a rigid circular punch with a smooth flat base.
The inextensibility constraint is assumed to be applicable over the entire
region of the membrane of infinite extent, which is located at a finite depth
below the surface of the elastic halfspace. The paper presents the formal
results that can be recovered as limiting cases of the analytical formulation
and compares these with results obtained via a finite element modelling of
the problem, which also accommodates for the elasticity of the membrane.
1 Introduction
The pro
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