On axisymmetrical contact problem of pressure of a rigid sphere into a periodically two-layered semi-space

Kulchytsky-Zhyhailo, Roman; Kołodziejczyk, Waldemar

doi:10.1016/j.ijmecsci.2006.10.007

Cited by 10 publications

(4 citation statements)

References 22 publications

(18 reference statements)

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“…Moreover, its accuracy was also verified in [12] and a conclusion was drawn that the averaged boundary condition can be used when the ratio of laminate thickness to the width of a contact zone is sufficiently small (l/a < 0.05) for a lamination perpendicular to the boundary. In the case of a layering parallel to the boundary, the solution using a homogenized model also gives good results (for l/a < 0.2), see [20]. In previous works [8,12,13], we can find conclusions on the applicability of the homogenized model to modeling micro-periodic layered composites.…”

Section: Problem Formulationmentioning

confidence: 73%

Bulletin of the Polish Academy of Sciences: Technical Sciences

Sebestianiuk

Perkowski

Kulchytsky-Zhyhailo

2021

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The paper presents an analysis of the influence of the shape of the rigid body pressed into the micro-periodic composite half-space on the examples of two punch shapes -parabolic and rectangular. The presented material is a layered body that consists of infinitely many thin alternately arranged homogenous layers. Layers of the presented composite are oblique to the boundary surface. Two cases of punch tip shape are examined -parabolic and rectangular. The presented problem has been formulated within the framework of a homogenized model with microlocal parameters and solved using the elastic potentials method and averaged boundary condition. Fourier integral transform method has been used to obtain the solution and the inverse integrals have been calculated numerically. Solutions in terms of contact pressure and maximum pressure characteristics were shown in the form of graphs.

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Section: Problem Formulationmentioning

confidence: 73%

Bulletin of the Polish Academy of Sciences: Technical Sciences

Sebestianiuk

Perkowski

Kulchytsky-Zhyhailo

2021

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“…However, the cases usually considered layering parallel and perpendicular to the edge. Problems of this type were considered, among others, in works [3,18,19] and [20]. To a lesser extent, the problems discussed concern materials with a boundary normal to the layering.…”

Section: Introductionmentioning

confidence: 99%

On stress analysis of load for microperiodic composite half-plane with slant lamination

2019

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“…The approach has been noticed to produce good physical results, at the same time being rather simple in mathematical aspects [18][19][20].…”

Section: Introductionmentioning

confidence: 99%

“…The axisymetrical or plane contact problems for periodically two-layered half-space were considered in [13,[20][21][22][23][24]. The above mentioned papers are connected with the body characterized by the layering parallel to the boundary.…”

Section: Introductionmentioning

confidence: 99%