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Abstract

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.

Keywords

coupled surfaces membrane finite deformation finite element

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A Theory of the Mechanics of Two Coupled Surfaces

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