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Mechanics of frictional contact for an arbitrary oriented orthotropic material
Author(s) -
Çömez İsa,
Yilmaz Korhan Babacan
Publication year - 2019
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201800084
Subject(s) - orthotropic material , mathematical analysis , contact mechanics , elasticity (physics) , mathematics , integral equation , finite element method , boundary value problem , stress (linguistics) , boundary element method , linear elasticity , geometry , materials science , structural engineering , composite material , engineering , linguistics , philosophy
In this study, the frictional contact problem of a half plane which has monoclinic material property is considered in the framework of linear elasticity theory. The monoclinic half plane is pressed by a rigid cylindrical punch that transmits both normal and tangential loads. The general expressions of the stress and displacement are determined with using integral transform technique. Utilizing the boundary conditions of the problem, a second kind singular integral equation, in which the unknowns are the contact stress and the contact width is obtained. The singular integral equation is solved numerically using the Gauss‐Jacobi integration formulas and the effect of the fiber angle, the friction coefficient, the punch radius, material type and the external load on the contact stress and in‐plane stress are given. The analytical solution is compared with the finite element solution and good agreement is obtained.