A numerical method based on Polonsky-Keer's conjugate gradient iterative scheme for solving axisymmetric contact of layered half-space

Li, Pu; Jiang, Zhizhen; Soewardiman, Henry; Li, Dongfeng; Jin, Xiaoqing; Borodich, Feodor M.

doi:10.1016/j.mechrescom.2022.103946

Cited by 1 publication

(3 citation statements)

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“…This integral equation is also solved by the method of successive approximations using the iterative scheme (8) with C = 0 and k = 1. Figure 3 illustrates the pressure distributions calculated for the rough punch with fixed roughness parameters (see Section 4.1) and a fixed load value P = 2.72 × 10 −5 E ′ 2 R 2 , indenting into the layered and homogeneous elastic half-space.…”

Section: Pressure Distribution Analysismentioning

confidence: 99%

“…A p is zero, us iteration scheme (8) with 0 B = and 1 k = . In the case of the uncoated half-spa contact pressure is determined using the Hertz theory [33].…”

Section: [ ]mentioning

confidence: 99%

“…However, due to the great difficulty of obtaining analytical solutions for the contact problems for layered bodies, various numerical methods are also developed. In [8], a general algorithm, which is based on dividing the contact region into annular areas, for solving such problem for the axisymmetric punch is presented. In [9], the boundary element method is used to validate an approximate solution of the contact problem of indenting an almost axisymmetric punch into layered elastic materials.…”

Section: Introductionmentioning

confidence: 99%

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Modeling of the Combined Effect of the Surface Roughness and Coatings in Contact Interaction

Goryacheva,

Yakovenko

2024

Lubricants

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The model of indentation of a spherical punch with a rough surface into a thin elastic layer lying on an elastic half-space has been developed. A numerical-analytical solution is suggested based on the two-scales approach. At macroscale, the integral equation of the second kind is reduced to calculate the nominal contact characteristics, taking into account the surface layer thickness and its mechanical characteristics, as well as additional compliance due to surface roughness calculated from the microscale analysis. The influence of the punch roughness and the surface layer mechanical and geometrical characteristics on the nominal contact pressure distribution, on the nominal contact area and the indentation depth, as well as on the real contact area and pressures at the individual contact spots, is analyzed. The developed contact model can be used to analyze the indentation of the punch into the layered elastic base, taking into account the roughness of the punch surface, and can also be used to give a complete analysis of the roughness effect on the contact process at both scale levels. The results can be used to control the indentation of the rough-coated bodies.

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Section: Pressure Distribution Analysismentioning

confidence: 99%

“…A p is zero, us iteration scheme (8) with 0 B = and 1 k = . In the case of the uncoated half-spa contact pressure is determined using the Hertz theory [33].…”

Section: [ ]mentioning

confidence: 99%