Boundary Element Calculations for Normal Contact of Soft Materials With Tensed Surface Membrane

Yuan, Weike; Wang, Gangfeng

doi:10.3389/fmech.2020.00057

Cited by 5 publications

(1 citation statement)

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“…[45]. Once the thin elastic sheet, e.g., a membrane, is set under tension, the small-q scaling changes to a quadratic q-dependence without directional dependence for equi-biaxial tension [11,46]. In all three cases, the areal energy density of a superposition of sinusoidal undulations can be written as where ũ( ) is the Fourier transform of the surface and…”

Section: Introductionmentioning

confidence: 99%

Elastic Contacts of Randomly Rough Indenters with Thin Sheets, Membranes Under Tension, Half Spaces, and Beyond

Müser

2021

Tribol Lett

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We consider the adhesion-less contact between a two-dimensional, randomly rough, rigid indenter, and various linearly elastic counterfaces, which can be said to differ in their spatial dimension D. They include thin sheets, which are either free or under equi-biaxial tension, and semi-infinite elastomers, which are either isotropic or graded. Our Green’s function molecular dynamics simulation identifies an approximately linear relation between the relative contact area $$a_{\text {r}}$$ a r and pressure p at small p only above a critical dimension. The pressure dependence of the mean gap $$u_{\text {g}}$$ u g obeys identical trends in each studied case: quasi-logarithmic at small p and exponentially decaying at large p. Using a correction factor with a smooth dependence on D, all obtained $$u_{\text {g}}(p)$$ u g ( p ) relations can be reproduced accurately over several decades in pressure with Persson’s theory, even when it fails to properly predict the interfacial stress distribution function. Graphical Abstract

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Section: Introductionmentioning

confidence: 99%