On elastic contact problems of micro-periodic slant layered composite pressed by a rigid punch with a parabolic or rectangular shape
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 hom...
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| Format: | Article |
| Language: | English |
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Polish Academy of Sciences
2021-09-01
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| Series: | Bulletin of the Polish Academy of Sciences: Technical Sciences |
| Subjects: | |
| Online Access: | https://journals.pan.pl/Content/120813/PDF/Z_19_02083_Bpast.No.69(6)_OK.pdf |
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| author | Piotr Sebestianiuk Dariusz M. Perkowski Roman Kulchytsky-Zhyhailo |
| author_facet | Piotr Sebestianiuk Dariusz M. Perkowski Roman Kulchytsky-Zhyhailo |
| author_sort | Piotr Sebestianiuk |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-10T21:25:31Z |
| format | Article |
| id | doaj.art-275784b52d6c44269cdd239d64c2ab7f |
| institution | Directory Open Access Journal |
| issn | 2300-1917 |
| language | English |
| last_indexed | 2024-12-10T21:25:31Z |
| publishDate | 2021-09-01 |
| publisher | Polish Academy of Sciences |
| record_format | Article |
| series | Bulletin of the Polish Academy of Sciences: Technical Sciences |
| spelling | doaj.art-275784b52d6c44269cdd239d64c2ab7f2022-12-22T01:33:00ZengPolish Academy of SciencesBulletin of the Polish Academy of Sciences: Technical Sciences2300-19172021-09-01696https://doi.org/10.24425/bpasts.2021.138091On elastic contact problems of micro-periodic slant layered composite pressed by a rigid punch with a parabolic or rectangular shapePiotr Sebestianiuk0Dariusz M. Perkowski1Roman Kulchytsky-Zhyhailo2Faculty of Mechanical Engineering, Białystok University of Technology, ul. Wiejska 45C, 15-351 Białystok, PolandFaculty of Mechanical Engineering, Białystok University of Technology, ul. Wiejska 45C, 15-351 Białystok, PolandFaculty of Mechanical Engineering, Białystok University of Technology, ul. Wiejska 45C, 15-351 Białystok, PolandThe 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.https://journals.pan.pl/Content/120813/PDF/Z_19_02083_Bpast.No.69(6)_OK.pdfcontact problemmicro-periodic compositepunch shape |
| spellingShingle | Piotr Sebestianiuk Dariusz M. Perkowski Roman Kulchytsky-Zhyhailo On elastic contact problems of micro-periodic slant layered composite pressed by a rigid punch with a parabolic or rectangular shape Bulletin of the Polish Academy of Sciences: Technical Sciences contact problem micro-periodic composite punch shape |
| title | On elastic contact problems of micro-periodic slant layered composite pressed by a rigid punch with a parabolic or rectangular shape |
| title_full | On elastic contact problems of micro-periodic slant layered composite pressed by a rigid punch with a parabolic or rectangular shape |
| title_fullStr | On elastic contact problems of micro-periodic slant layered composite pressed by a rigid punch with a parabolic or rectangular shape |
| title_full_unstemmed | On elastic contact problems of micro-periodic slant layered composite pressed by a rigid punch with a parabolic or rectangular shape |
| title_short | On elastic contact problems of micro-periodic slant layered composite pressed by a rigid punch with a parabolic or rectangular shape |
| title_sort | on elastic contact problems of micro periodic slant layered composite pressed by a rigid punch with a parabolic or rectangular shape |
| topic | contact problem micro-periodic composite punch shape |
| url | https://journals.pan.pl/Content/120813/PDF/Z_19_02083_Bpast.No.69(6)_OK.pdf |
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