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

Abstract

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

Contact.engineering—Create, analyze and publish digital surface twins from topography measurements across many scales

“…The Green's function for the elastic problem can be analytically or semi-analytically derived for periodic [84][85][86][87][88] and non-periodic [58,89,90] systems in the continuum limit [87,89,90], for atomic lattices [84][85][86] and for substrates of finite thickness [91][92][93][94]. The web service uses the continuum expressions and can handle periodic and non-periodic systems.…”

A novel analytic model for sealing performance of static metallic joint considering the yield hardening effect

“…By assuming the interfacial maximum contact stress is infinite, the theory for stress distribution and the real contact area of an elastic material (rubber) was proposed by Persson et al [13]. Also, on the rubbermetal contact pair, Müser et al [20] presented the mean to predict average interface separation and, in conjunction with percolation theory, investigated the influence of both the interfacial elastic strain and average separation on the sealing performance. These researchers mainly focused on the sliding contact at the rubber-metal interface with small elastic strain.…”

Вплив Корозійних Процесів На Адгезійну Міцність Контакту Між Жорстким Індентором І М’яким Еластомером: Експеримент

“…the finite-element method [2], the boundary-element method [3,4], the method of movable cellular automata [5], and the molecular dynamics methods [6].…”