No full-text available
To read the full-text of this research,
you can request a copy directly from the authors.
Sliding Contact of Elastically Dissimilar Periodic Profiles
Abstract
Various methods for solving the partial contact of surfaces with regularly periodic profiles—which might arise in analyses of asperity level contact, serrated surfaces or even curved structures—have previously been employed for elastic materials. A new approach based upon the summation of evenly spaced Flamant’s solution is used here to solve periodic problems in plane elasticity for sliding contact with Coulomb friction. The advantage is that solutions are derived in a straightforward manner without requiring extensive experience with advanced mathematical theory.
ResearchGate has not been able to resolve any citations for this publication.
The frictional contact of elastic half-planes is considered when one of them has a periodic surface relief. The cases of isotropic and anisotropic elastic characteristics of bodies in contact were studied. The geometric characteristics of interface gaps were analyzed for the sinusoidal surface relief.
Dry frictional sliding of two elastic bodies, one of which has a periodic wavy surface, is considered. Such a model represents the frictional sliding of two nominally flat surfaces, one of which has periodically spaced asperities. The dependence of the tore contact area on lending is analyzed by using the plane strain theory of elasticity. Fourier series and integral transform techniques are applied to reduce the problem to art integral equation which is solved using a series of Jacobi polynomials. For steady-state dynamic frictional sliding with given values of the friction coefficient, materials constants, and sliding velocity, the dependence of the contact zone length on the remotely applied tractions is determined. The results indicate a decrease of the minimum applied traction required to close the gap between the bodies,,vith an increase of the friction coefficient and/or the sliding velocity. A resonance exists as the sliding velocity approaches the Rayleigh wave speed of the flat body. [S0742-4787(00)01403-X].
The contact between two elastic semi-infinite bodies with wavy surfaces is considered. For mathematical tractability, the surface profiles are taken as purely sinusoidal. The formulation leads to a pair of dual series equations, which can be reduced to an integral equation of the Abel type. The integral equation can be solved and the quantities of most interest physically extracted in closed elementary forms.Es wird das Kontaktproblem zweier elastischer halb-unendlicher Krper mit wellenfrmigen Oberflchen untersucht. Zur vereinfachten mathematischen Behandlung werden die Oberflchenprofile rein sinusfrmig angenommen. Man erhlt zwei duale Summengleichungen, die auf eine Integralgleichung vom Abelschen Typ zurckgefhrt werden knnen. Die Integralgleichung kann gelst werden und die interessierenden Gren lassen sich in elementarer geschlossener Form angeben.