The adhesion of two elastic bodies with slightly wavy surfaces

1995 ◽  
Vol 32 (3-4) ◽  
pp. 423-430 ◽  
Author(s):  
K.L. Johnson
Keyword(s):  
2018 ◽  
Vol 24 (11) ◽  
pp. 3381-3393 ◽  
Author(s):  
Oleh Kozachok ◽  
Rostyslav Martynyak

This paper presents a study on smooth elastic contact between two semi-infinite elastic bodies, one of which has a wavy surface, for the case when there are an incompressible liquid, not wetting the surfaces of the bodies, at the central region of each interface gap and a gas under constant pressure at the edges of each gap. Due to the surface tension of the liquid, a pressure drop occurs in the liquid and the gas, which is described by the Laplace formula. The formulated contact problem is reduced to a singular integral equation (SIE) with the Hilbert kernel, which is transformed into a SIE with the Cauchy kernel for a derivative of a height of the gaps. A system of transcendental equations for a width of each gap and a width of the gap region filled with the liquid is obtained from the condition of boundedness of the contact stresses at the gap ends and the condition of liquid amount conservation. It is solved numerically, and the dependences of the width and shape of the gaps, the width of the gap regions filled with the liquid and the contact approach of the bodies on the applied load and the surface tension of the liquid are analyzed.


1973 ◽  
Vol 3 (2) ◽  
pp. 109-115 ◽  
Author(s):  
J. Dundurs ◽  
K. C. Tsai ◽  
L. M. Keer
Keyword(s):  

1989 ◽  
Vol 25 (5) ◽  
pp. 448-454 ◽  
Author(s):  
N. Kh. Arutyunyan ◽  
A. D. Drozdov
Keyword(s):  

Symmetry ◽  
2021 ◽  
Vol 13 (8) ◽  
pp. 1359
Author(s):  
Marin Marin ◽  
Dumitru Băleanu ◽  
Sorin Vlase

The formalism of multibody systems offers a means of computer-assisted algorithmic analysis and a means of simulating and optimizing an arbitrary movement of a possible high number of elastic bodies in the connection [...]


1967 ◽  
Vol 25 (3) ◽  
pp. 233-242 ◽  
Author(s):  
Ting-Shu Wu ◽  
Y. P. Chiu

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