Influence of liquid bridges in the interface gap on the contact of bodies made of compliant materials

Martynyak, R. M.; Slobodyan, B. S.

doi:10.1007/s11003-008-9068-0

Cited by 9 publications

(4 citation statements)

References 7 publications

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“…Огляд публікацій, що стосуються контактних задач для тіл з періодичним рельєфом за відсутності заповнювача зазорів між ними, наведено у роботах [3][4][5][6][7][8][9][10][11]. Вивчено [12][13][14][15][16][17][18][19][20][21][22][23][24][25] контакт тіл за наявності між ними поодиноких або періодично розташованих зазорів з газорідинним заповнювачем. Контакт плоскої і хвилястої поверхонь, зазори між якими заповнені рідиною і/або газом, досліджено у працях [26][27].…”

Section: вплив стисливої рідини на контакт пружного тіла і жорсткої оunclassified

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

Kozachok

2017

Fìz.-mat. model. ìnf. tehnol.

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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.

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Section: вплив стисливої рідини на контакт пружного тіла і жорсткої оunclassified

“…У зв'язку з наявністю кутових точок на кінцях виїмок шукатимемо необмежений у точках    розв'язок рівняння (14), який з урахуванням першої з умов (13)…”

Section: методика розв'язування задачіunclassified

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

Kozachok

2017

Fìz.-mat. model. ìnf. tehnol.

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“…The influence of the interstitial medium filling the interface gaps on the mechanical behavior of bodies has been studied by Machyshyn and Nagórko (2003), Slobodyan et al (2014), Kozachok et al (2017), Malanchuk et al (2017), Serednytska et al (2019) (gas-filled gaps), Evtushenko and Sulim (1981), Kuznetsov (1985), Kit et al (2003), and (liquid-filled gaps). A number of works studied the influence of liquid bridges in interface gaps on contact interaction when the remainder of the gap is filled with a vacuum (Peng and Bhushan, 2002;Boer, 2007;Xue and Polycarpou, 2007;Persson, 2008;Wang et al, 2009) or with a gas (Martynyak and Slobodyan, 2008;Slobodyan, 2012;Kozachok et al, 2016;Kozachok and Martynyak, 2018). The normal contact approach and contact compliance of the bodies with periodically grooved or wavy surfaces and medium-filled interface gaps was investigated by Kozachok et al (2018a,b).…”

Section: Introductionmentioning

confidence: 99%

The Combined Thermal and Mechanical Effect of an Interstitial Gas on Thermal Rectification Between Periodically Grooved Surfaces

Chumak

Martynyak

2019

Front. Mech. Eng.

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This paper presents a study on the combined thermal and mechanical effect of interstitial gas on thermal rectification between a periodically grooved surface and a flat one. To evaluate the interstitial medium influence, the analytico-numerical solution to the corresponding thermoelastic contact problem is constructed taking into account the effect of thermal strains on gap deformation. The results are provided for the Stainless Steel AISI 304-Aluminum Alloy A380 pair in the presence of air or krypton in the interface gaps. The effects of the gas thermal conductivity and pressure, the imposed pressure and heat flux, and the maximum groove height on the effective thermal contact resistance and the level of thermal rectification are analyzed. It is revealed that taking into account the mechanical effect of the gap filler leads to lower values of thermal rectification level. Also, the change of the gap filler thermal conductivity has more pronounced effect that the change of its pressure.

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“…Using the method of the functions of intercontact gaps [29], the effect of liquid bridges on the contact interaction of two bodies, one of which has a local surface groove, was considered [30][31][32]. Kozachok et al [33][34][35] investigated the contact of two elastic isotropic semi-infinite microtextured bodies in the presence of a periodic array of interface gaps filled with a real gas and/or an incompressible liquid.…”

Section: Introductionmentioning

confidence: 99%

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

Kozachok

Martynyak

2018

Mathematics and Mechanics of Solids

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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.

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Influence of liquid bridges in the interface gap on the contact of bodies made of compliant materials

Cited by 9 publications

References 7 publications

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

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

The Combined Thermal and Mechanical Effect of an Interstitial Gas on Thermal Rectification Between Periodically Grooved Surfaces

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

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