Boundary element method for the elastic contact problem with hydrostatic load at the contact interface

Huang, De; Xiang, Yan; Larsson, Roland; Almqvist, Andreas

doi:10.1016/j.apsadv.2021.100176

Cited by 4 publications

(6 citation statements)

References 16 publications

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“…The values of p * 0 are acquired by conducting the contact mechanics simulation under various p 0 conditions, and checking the geometry connectivity of the high-and low-pressure side with a connected component labelling algorithm [27,23]. A binary connectivity identifier is defined as 1 when the high-and low-pressure sides are connected, and 0 otherwise.…”

Section: Problem Setupmentioning

confidence: 99%

“…The critical pressure of leakage p b is acquired with a boundary element method developed in [23]. The method is a further development of FFT-accelerated method [28] including the hydrostatic load at the contact interface.…”

Section: Problem Setupmentioning

confidence: 99%

“…8 (a) to (c), the maximum solid-solid contact pressure decreases with increased p f , and the contact area S is decreased at the same time due to the proceeding of the sealed fluid. The loss of the solid-solid contact happens at both the high-and the low-pressure side, because of the global response of the elastic displacement with the surface traction distribution [23]. The contact patch has a dumbbell shape which is symmetric with x = 0 when p f = 0, but loses the symmetry when the sealed fluid pressure increases, because the hydrostatic pressure is only applied at the high-pressure side.…”

Section: Critical Quantities With Hydrostatic Loadmentioning

confidence: 99%

“…the surface displacement perpendicular to the contact interface u can be acquired from the discretized surface traction field p kl for a linear elastic material [30,23,31]:…”

Section: Conflict Of Interestmentioning

confidence: 99%

“…If there is no leakage, the pressurized fluid from the high-pressure side fills the gap between the contacting surfaces with uniform hydrostatic pressure. The hydrostatic fluid pressure will deform the contacting surfaces and change contact pressure distribution [23]. When the fluid is pressurized from the high-pressure side of an initially sealed system, leakage is observed when the sealed fluid pressure p f equals the maximum contact pressure [24].…”

Section: Introductionmentioning

confidence: 99%

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Leakage threshold of a saddle point

Huang

Xiang

Larsson

et al. 2022

Preprint

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The threshold condition for leakage inception is of great interest to many engineering applications, and it is essential for seal design. In the current study, the leakage threshold is studied by means of a numerical method for a mechanical contact problem between an elastic bisinusoidal surface and a rigid flat surface. The coalesce process of the contact patches is first investigated, and a generalized form of solution for the relation between the contact area ratio and the average applied pressure is acquired. The current study shows that the critical value of the average applied pressure, required to close the percolation path, can be represented as a power law of a shape parameter if the effect of the hydrostatic load from the pressurized fluid is ignored. With contact patches merged under a constant applied load, the contact breakup process is investigated under elevated sealed fluid pressure conditions, and it is shown that the leakage threshold is a function of the excess pressure, which is defined as a ratio between the average applied pressure and the critical pressure under dry contact conditions.

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Section: Problem Setupmentioning

confidence: 99%

Section: Problem Setupmentioning

confidence: 99%

Section: Critical Quantities With Hydrostatic Loadmentioning

confidence: 99%

“…the surface displacement perpendicular to the contact interface u can be acquired from the discretized surface traction field p kl for a linear elastic material [30,23,31]:…”

Section: Conflict Of Interestmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Leakage threshold of a saddle point

Huang

Xiang

Larsson

et al. 2022

Preprint

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The Critical Pressure for Bulk Leakage of Non-planar Smooth Surfaces

et al. 2022

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The sealing surfaces subjected to the hydrostatic load from the sealed fluid can deform to such an extent that leakage occurs when the sealed fluid pressure is sufficiently high, and this critical pressure that the seal can sustain without leakage is a fundamental aspect of the seal design. This paper presents a new numerical method based on the bisection algorithm and the boundary element method, which can be utilized to capture the critical pressure with high accuracy. The present method is employed to study the relationship between the critical pressure and the non-planar geometry of the sealing surfaces, under a wide range of loading conditions. The results show that the critical pressure can be acquired from the surface’s dry contact state with a dimensionless correction factor.

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Leakage Threshold of a Saddle Point

et al. 2023

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The threshold condition for leakage inception is of great interest to many engineering applications, and it is essential for seal design. In the current study, the leakage threshold is studied by means of a numerical method for a mechanical contact problem between an elastic bi-sinusoidal surface and a rigid flat surface. The coalesce process of the contact patches is first investigated, and a generalized form of solution for the relation between the contact area ratio and the average applied pressure is acquired. The current study shows that the critical value of the average applied pressure and the corresponding contact area required to close the percolation path can be represented as a power law of a shape parameter, if the effect of the hydrostatic load from the pressurized fluid is ignored. With contact patches merged under a constant applied load, the contact breakup process is investigated with elevated sealed fluid pressure condition, and it is shown that the leakage threshold is a function of the excess pressure, which is defined as a ratio between the average applied pressure and the critical pressure under dry contact conditions. Graphical abstract

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Boundary element method for the elastic contact problem with hydrostatic load at the contact interface

Cited by 4 publications

References 16 publications

Leakage threshold of a saddle point

Leakage threshold of a saddle point

The Critical Pressure for Bulk Leakage of Non-planar Smooth Surfaces

Leakage Threshold of a Saddle Point

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