Contact Between an Elastic Body and a Rigid Base with Periodic Array of Quasielliptic Grooves Partially Filled with Liquid Wetting the Surfaces of the Bodies

2019 ◽  
Vol 240 (2) ◽  
pp. 162-172
Author(s):  
O. P. Kozachok ◽  
B. S. Slobodian ◽  
R. M. Martynyak
Keyword(s):  
Elastic Body ◽  
Periodic Array ◽  
Rigid Base

scholarly journals Effect of compressible liquid on the contact between an elastic body and a rigid base with a periodic array of quasielliptic grooves

2017 ◽  
pp. 72-81
Author(s):  
Oleg Kozachok
Keyword(s):  
Elastic Body ◽  
Elastic Half Space ◽  
Transcendental Equation ◽  
Compressible Liquid ◽  
Normal Displacement ◽  
Rigid Base ◽  
Cauchy Kernel ◽  
Hilbert Kernel ◽  
Contact Compliance ◽  
Interface Gaps

The frictionless contact between an elastic body and a rigid base in the presence of a periodically arranged quasielliptic grooves with in interface gaps in the presence of a compressible liquid is modeled. The contact problem formulated for the elastic half-space is reduced to a singular integral equation (SIE) with Hilbert kernel for a derivative of a height of the interface gaps, which is transformed to a SIE with Cauchy kernel that is solved analytically, and a transcendental equation for liquid’s pressure, which has been obtained from the equation of compressible barotropic liquid state. The dependences of the pressure of the liquid, shape of the gaps, average normal displacement and contact compliance of the bodies on the applied load and bulk modulus of the liquid are analysed.

Modifications of the Godunov method for computing disturbance propagation in an elastic body

2016 ◽  
Vol 11 (1) ◽  
pp. 119-126 ◽  
Author(s):  
A.A. Aganin ◽  
N.A. Khismatullina
Keyword(s):  
Elastic Body ◽  
Godunov Method ◽  
Two Dimensional ◽  
Dimensional Problem ◽  
Order Accuracy ◽  
One Dimensional ◽  
Disturbance Propagation ◽  
Linear Waves ◽  
Longitudinal And Shear Waves ◽  
Contact Discontinuities

Numerical investigation of efficiency of UNO- and TVD-modifications of the Godunov method of the second order accuracy for computation of linear waves in an elastic body in comparison with the classical Godunov method is carried out. To this end, one-dimensional cylindrical Riemann problems are considered. It is shown that the both modifications are considerably more accurate in describing radially converging as well as diverging longitudinal and shear waves and contact discontinuities both in one- and two-dimensional problem statements. At that the UNO-modification is more preferable than the TVD-modification because exact implementation of the TVD property in the TVD-modification is reached at the expense of “cutting” solution extrema.

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