4.2 Article

A plane contact problem for an elastic orthotropic strip

Journal

JOURNAL OF ENGINEERING MATHEMATICS
Volume 70, Issue 4, Pages 399-409

Publisher

SPRINGER
DOI: 10.1007/s10665-010-9422-8

Keywords

Asymptotic solution; Iterative method; Logarithmic singularity; Orthotropic material; Plane and parabolic stamp

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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.

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