On the numerical treatment of the contact problem

The problem of the contact of two elastic bodies of arbitrary shape with a kernel in the form of a logarithmic function—which is investigated from Hertz problem—is reduced to an integral equation. A numerical method is adapted to determine the pressure between the two surfaces under certain conditio...

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Main Author: Abdallah A. Badr
Format: Article
Language:English
Published: Wiley 2000-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171200003215
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author Abdallah A. Badr
author_facet Abdallah A. Badr
author_sort Abdallah A. Badr
collection DOAJ
description The problem of the contact of two elastic bodies of arbitrary shape with a kernel in the form of a logarithmic function—which is investigated from Hertz problem—is reduced to an integral equation. A numerical method is adapted to determine the pressure between the two surfaces under certain conditions.
format Article
id doaj-art-4acc38e0c02a4943ae9dc7398cda5767
institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2000-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-4acc38e0c02a4943ae9dc7398cda57672025-02-03T01:02:46ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-01231286587110.1155/S0161171200003215On the numerical treatment of the contact problemAbdallah A. Badr0Alexandria University, Alexandria, EgyptThe problem of the contact of two elastic bodies of arbitrary shape with a kernel in the form of a logarithmic function—which is investigated from Hertz problem—is reduced to an integral equation. A numerical method is adapted to determine the pressure between the two surfaces under certain conditions.http://dx.doi.org/10.1155/S0161171200003215Hertz problemintegral equationorthogonal polynomials.
spellingShingle Abdallah A. Badr
On the numerical treatment of the contact problem
International Journal of Mathematics and Mathematical Sciences
Hertz problem
integral equation
orthogonal polynomials.
title On the numerical treatment of the contact problem
title_full On the numerical treatment of the contact problem
title_fullStr On the numerical treatment of the contact problem
title_full_unstemmed On the numerical treatment of the contact problem
title_short On the numerical treatment of the contact problem
title_sort on the numerical treatment of the contact problem
topic Hertz problem
integral equation
orthogonal polynomials.
url http://dx.doi.org/10.1155/S0161171200003215
work_keys_str_mv AT abdallahabadr onthenumericaltreatmentofthecontactproblem