Axisymmetric frictionless contact between an elastic layer thickness and a circular base under a rigid punch
The study presented in this work deals with analytical methods for an axisymmetric problem of an elastic layer partially reposing on a rigid circular base, and is indented along the upper surface with a rigid punch. The contact between the medium and the base is smooth. This boundary value problem i...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SAGE Publishing
2023-01-01
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| Series: | Advances in Mechanical Engineering |
| Online Access: | https://doi.org/10.1177/16878132221149574 |
| _version_ | 1797948437062221824 |
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| author | Fadila Guerrache Hamid Boutoutaou Madjid Hachemi |
| author_facet | Fadila Guerrache Hamid Boutoutaou Madjid Hachemi |
| author_sort | Fadila Guerrache |
| collection | DOAJ |
| description | The study presented in this work deals with analytical methods for an axisymmetric problem of an elastic layer partially reposing on a rigid circular base, and is indented along the upper surface with a rigid punch. The contact between the medium and the base is smooth. This boundary value problem is transformed into a system of dual integral equations. In contrast to the classical approach consisting in resolving the corresponding Fredholm equation of the second kind, the latter equations are obtained from an infinite algebraic system of simultaneous equations, where the particular case h → ∞ is verified. The results of this system are also obtained numerically. The normal displacement, normal stress, and the stress singularity factor are given analytically and shown graphically with discussion. By comparison with those predicted by the finite element method, the accuracy of the numerical method is approved. |
| first_indexed | 2024-04-10T21:43:19Z |
| format | Article |
| id | doaj.art-2522f42279674d79bc227eb6eb559d11 |
| institution | Directory Open Access Journal |
| issn | 1687-8140 |
| language | English |
| last_indexed | 2024-04-10T21:43:19Z |
| publishDate | 2023-01-01 |
| publisher | SAGE Publishing |
| record_format | Article |
| series | Advances in Mechanical Engineering |
| spelling | doaj.art-2522f42279674d79bc227eb6eb559d112023-01-18T16:34:16ZengSAGE PublishingAdvances in Mechanical Engineering1687-81402023-01-011510.1177/16878132221149574Axisymmetric frictionless contact between an elastic layer thickness and a circular base under a rigid punchFadila GuerracheHamid BoutoutaouMadjid HachemiThe study presented in this work deals with analytical methods for an axisymmetric problem of an elastic layer partially reposing on a rigid circular base, and is indented along the upper surface with a rigid punch. The contact between the medium and the base is smooth. This boundary value problem is transformed into a system of dual integral equations. In contrast to the classical approach consisting in resolving the corresponding Fredholm equation of the second kind, the latter equations are obtained from an infinite algebraic system of simultaneous equations, where the particular case h → ∞ is verified. The results of this system are also obtained numerically. The normal displacement, normal stress, and the stress singularity factor are given analytically and shown graphically with discussion. By comparison with those predicted by the finite element method, the accuracy of the numerical method is approved.https://doi.org/10.1177/16878132221149574 |
| spellingShingle | Fadila Guerrache Hamid Boutoutaou Madjid Hachemi Axisymmetric frictionless contact between an elastic layer thickness and a circular base under a rigid punch Advances in Mechanical Engineering |
| title | Axisymmetric frictionless contact between an elastic layer thickness and a circular base under a rigid punch |
| title_full | Axisymmetric frictionless contact between an elastic layer thickness and a circular base under a rigid punch |
| title_fullStr | Axisymmetric frictionless contact between an elastic layer thickness and a circular base under a rigid punch |
| title_full_unstemmed | Axisymmetric frictionless contact between an elastic layer thickness and a circular base under a rigid punch |
| title_short | Axisymmetric frictionless contact between an elastic layer thickness and a circular base under a rigid punch |
| title_sort | axisymmetric frictionless contact between an elastic layer thickness and a circular base under a rigid punch |
| url | https://doi.org/10.1177/16878132221149574 |
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