A plane contact problem for an elastic orthotropic strip

The contact of a punch with an elastic orthotropic strip is considered. A singular integral equation is derived for the contact pressure. The analytic expression of the associated kernel is unique for all types of orthotropy. An iterative solution method is developed to investigate a thick strip. A...

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Bibliographic Details
Published in:Journal of engineering mathematics 2011-08, Vol.70 (4), p.399-409
Main Authors: Erbaş, B., Yusufoğlu, E., Kaplunov, J.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Asymptotic properties
Computational Mathematics and Numerical Analysis
Contact
Exact solutions
Mathematical analysis
Mathematical and Computational Engineering
Mathematical Modeling and Industrial Mathematics
Mathematical models
Mathematics
Mathematics and Statistics
Punches
Singular integral equations
Strip
Theoretical and Applied Mechanics
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Summary:The contact of a punch with an elastic orthotropic strip is considered. A singular integral equation is derived for the contact pressure. The analytic expression of the associated kernel is unique for all types of orthotropy. An iterative solution method is developed to investigate a thick strip. A direct asymptotic procedure proposed for a thin strip leads to simple explicit formulae. Numerical examples are presented for various values of the relative strip thickness.
ISSN:0022-0833
1573-2703
DOI:10.1007/s10665-010-9422-8