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On the contact of an inflated spherical membrane-fluid structure with a rigid conical indenter

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Abstract

The large deformations of a spherical membrane inflated by an incompressible fluid in contact with a frictionless rigid conical indenter are analyzed. The objective is to study the stress distribution and the fluid pressure in this membrane-fluid structure in response to contact with the conical indenter. The membrane is assumed to be homogeneous, elastic, and isotropic while the enclosed fluid is taken to be incompressible. The equilibrium equations of the membrane-fluid structure are expressed as a set of two first-order ordinary differential equations for the part of the membrane in contact with an indenter and four first-order ordinary differential equations for the part not in contact. A neo-Hookean material model is used to describe the material property of the membrane. The nonlinear system of ordinary differential equations is solved numerically using the shooting method.

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of Alberta, Edmonton, AB, Canada

    Touqeer Sohail

  2. Department of Mechanical Engineering, University of Victoria, Victoria, BC, Canada

    Ben Nadler

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  1. Touqeer Sohail
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  2. Ben Nadler
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Correspondence to Ben Nadler.

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Sohail, T., Nadler, B. On the contact of an inflated spherical membrane-fluid structure with a rigid conical indenter. Acta Mech 218, 225–235 (2011). https://doi.org/10.1007/s00707-010-0418-2

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  • DOI: https://doi.org/10.1007/s00707-010-0418-2

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