Thermal-diffusion instability of the frictional contact of elastic bodies

1995 ◽  
Vol 30 (3) ◽  
pp. 377-379 ◽  
Author(s):  
R. M. Shvets ◽  
R. M. Martynyak
1994 ◽  
Vol 116 (2) ◽  
pp. 247-254 ◽  
Author(s):  
L. Johansson

In the present paper an algorithm for frictional contact between two elastic bodies is presented. The algorithm is applied to the calculation of the evolution of contact pressure between two elastic bodies when material is being removed by fretting. To this end Archard’s law of wear is implemented into the algorithm. It is noticed that the calculated pressures after a period of fretting differ considerably from the initial Hertz type pressures. Further, it is noted that numerical instabilities can occur in explicit type wear calculations, and a stability criterion is suggested.


Author(s):  
Oleg Kozachok

The non-frictional contact between two semi-infinite elastic bodies, one of which has a wavy surface, is considered for the case of interface gaps filled with a compressible barotropic liquid. The contact problem formulated 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 the gaps and a pressure of the liquid is obtained from the condition of boundedness of the SIE solution at the integration interval ends and the equation of state of a compressible barotropic liquid, and then it is solved numerically. The dependences of the width and shape of the gaps, the pressure of the liquid, the average normal displacement and contact compliance of the bodies on the applied load and bulk modulus of the liquid are analyzed.


2019 ◽  
Vol 14 (2) ◽  
pp. 7-18
Author(s):  
Roman Vodička

AbstractA general computational model covering many types of frictional contact interfaces between visco-elastic bodies is considered for some cases physically relevant in numerical analysis of contact in civil engineering structures. The relations between mechanical quantities and internal parameters of the model are illustrated in a couple of simplified examples including cohesive contact combined with Coulomb friction and/or interface plasticity. The computations are implemented a semi-implicit time discretisation, quadratic programming algorithms, and the boundary-element method.


1963 ◽  
Vol 60 ◽  
pp. 172-177 ◽  
Author(s):  
C. J. G. Slieker ◽  
A. E. de Vries

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