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A Theory of the Mechanics of Two Coupled Surfaces

Department of Mechanical Engineering, University of Alberta, Edmonton, AB, Canada T6G 2G8

In this work the mechanics of two coupled membrane-like surfaces are considered. It will be shown that under special restrictions the finite deformation of the two coupled surfaces can be described using only five field parameters. This is accomplished by introducing a pairing between the two surfaces. The surfaces are permitted to slip with respect to each other subjected to frictional slipping constitutive law, but restricted to maintain full contact at all time. Such a model can be used to model frictional slip in woven fabrics. The weak form of the equations are formulated to be used with the finite element method. This theory furnishes equations of motion and boundary conditions which have clear physical meaning.

Key Words: coupled surfaces • membrane • finite deformation • finite element

This version was published on July 1, 2009

Mathematics and Mechanics of Solids, Vol. 14, No. 5, 456-473 (2009)
DOI: 10.1177/1081286507083637


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