scholarly journals Contact interaction between bodies with wavy relief taking into account interstitial compressible liquid

2017 ◽  
pp. 45-54 ◽  
Author(s):  
Oleg Kozachok
Keyword(s):  
Frictional Contact ◽  
Compressible Liquid ◽  
Normal Displacement ◽  
Cauchy Kernel ◽  
Hilbert Kernel ◽  
Integration Interval ◽  
Elastic Bodies ◽  
Contact Compliance ◽  
Interface Gaps ◽  
Barotropic Liquid

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.

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.

Contact problem for wavy surfaces in the presence of an incompressible liquid and a gas in interface gaps

2018 ◽  
Vol 24 (11) ◽  
pp. 3381-3393 ◽  
Author(s):  
Oleh Kozachok ◽  
Rostyslav Martynyak
Keyword(s):  
Surface Tension ◽  
Contact Problem ◽  
Incompressible Liquid ◽  
Constant Pressure ◽  
Cauchy Kernel ◽  
Hilbert Kernel ◽  
Elastic Bodies ◽  
Laplace Formula ◽  
Interface Gaps ◽  
Wavy Surfaces

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.

Numerical Simulation of Contact Pressure Evolution in Fretting

1994 ◽  
Vol 116 (2) ◽  
pp. 247-254 ◽  
Author(s):  
L. Johansson
Keyword(s):  
Numerical Simulation ◽  
Contact Pressure ◽  
Stability Criterion ◽  
Frictional Contact ◽  
Elastic Bodies ◽  
Numerical Instabilities ◽  
Archard’S Law Of Wear ◽  
Pressure Evolution

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.

Elliptical Contact Area Between Elastic Bodies Bounded by High Order Surfaces

2005 ◽  
Author(s):  
Emanuel N. Diaconescu
Keyword(s):  
Analytical Solution ◽  
Pressure Distribution ◽  
Fourth Order ◽  
Contact Area ◽  
High Order ◽  
Normal Displacement ◽  
Hertz Theory ◽  
Elastic Bodies ◽  
Surface Normal ◽  
Elliptical Contact

Hertz theory fails when contacting surfaces are expressed by a sum of even polynomials of higher powers than two. An alternative analytical solution implies the knowledge of contact area. In the case of elliptical domains, there are some published proposals for the correlation between pressure distribution and surface normal displacement. This paper identifies the class of high order surfaces which lead to elliptical contact domains and solves a contact between fourth order surfaces.

Contact of Elastic Bodies in the Presence of Gas and Incompressible Liquid in Periodic Interface Gaps

2016 ◽  
Vol 51 (6) ◽  
pp. 804-813 ◽  
Author(s):  
O. P. Kozachok ◽  
B. S. Slobodyan ◽  
R. M. Martynyak
Keyword(s):  
Incompressible Liquid ◽  
Elastic Bodies ◽  
Interface Gaps

scholarly journals Comparing various influences on adhesive contact with friction

2019 ◽  
Vol 14 (2) ◽  
pp. 7-18
Author(s):  
Roman Vodička
Keyword(s):  
Boundary Element Method ◽  
Coulomb Friction ◽  
Frictional Contact ◽  
Adhesive Contact ◽  
Implicit Time ◽  
Engineering Structures ◽  
Time Discretisation ◽  
Elastic Bodies ◽  
Internal Parameters ◽  
Programming Algorithms

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.

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