Frictional moving contact problem between a conducting rigid cylindrical punch and a functionally graded piezoelectric layered half plane

Meccanica ◽  
2021 ◽  
Author(s):  
İsa Çömez
Keyword(s):  
Contact Problem ◽  
Half Plane ◽  
Functionally Graded ◽  
Moving Contact ◽  
Cylindrical Punch ◽  
Functionally Graded Piezoelectric

On the contact problem of a moving rigid cylindrical punch sliding over an orthotropic layer bonded to an isotropic half plane

2020 ◽  
Vol 25 (10) ◽  
pp. 1924-1942
Author(s):  
I Çömez ◽  
MA Güler
Keyword(s):  
Integral Equation ◽  
Singular Integral Equation ◽  
Contact Problem ◽  
Half Plane ◽  
Singular Integral ◽  
Integral Transform ◽  
Orthotropic Layer ◽  
Moving Contact ◽  
Contact Width ◽  
Cylindrical Punch

In this study, the frictional moving contact problem for an orthotropic layer bonded to an isotropic half plane under the action of a sliding rigid cylindrical punch is considered. Boundary conditions of the problem include the normal and tangential forces applied to the layer with a cylindrical punch moving on the surface of the layer in the lateral direction at a constant velocity V. It is assumed that the contact area is subjected to the sliding condition where Coulomb’⣙s law is used to relate the tangential traction to the normal traction. Using the Fourier integral transform technique and Galilean transformation, the plane contact problem is reduced to a singular integral equation in which the unknowns are the contact stress and the contact width. The singular integral equation is solved numerically using Gauss–Jacobi integration formulae. Numerical results for the contact widths and the contact stresses are given as a solution.

scholarly journals Contact problem on indentation of an elastic half-plane with functionally-graded coating in presence of tangential stresses on the surface

2018 ◽  
Vol 226 ◽  
pp. 03018 ◽  
Author(s):  
Sergei S. Volkov ◽  
Andrey S. Vasiliev ◽  
Evgeniy V. Sadyrin
Keyword(s):  
Fourier Series ◽  
Contact Problem ◽  
Half Plane ◽  
Contact Area ◽  
Functionally Graded ◽  
Dual Integral Equations ◽  
Normal Contact ◽  
Functionally Graded Coating ◽  
Tangential Stresses ◽  
Graded Coating

Plane contact problem on indentation of an elastic half-plane with functionally graded coating by a parabolic punch is considered. The surface of the half-plane is additionally subjected to distributed tangential stresses in a certain region different from contact area. The contact area is assumed to be asymmetric with respect to the center of the punch. Tangential stresses are represented in the form of Fourier series. The problem is reduced to the solution of two dual integral equations over even and odd functions describing distribution of normal contact stresses. The bilateral asymptotic method is used to solve these equations. Approximated analytical solutions asymptotically exact for both the small and large values of relative coating thickness are constructed.

The contact problem of a rigid stamp with friction on a functionally graded magneto-electro-elastic half-plane

2015 ◽  
Vol 227 (4) ◽  
pp. 1123-1156 ◽  
Author(s):  
Rana Elloumi ◽  
Sami El-Borgi ◽  
Mehmet A. Guler ◽  
Imen Kallel-Kamoun
Keyword(s):  
Contact Problem ◽  
Half Plane ◽  
Functionally Graded ◽  
Rigid Stamp

Frictionless contact analysis of a functionally graded piezoelectric layered half-plane

2008 ◽  
Vol 17 (2) ◽  
pp. 025003 ◽  
Author(s):  
Liao-Liang Ke ◽  
Jie Yang ◽  
Sritawat Kitipornchai ◽  
Yue-Sheng Wang
Keyword(s):  
Half Plane ◽  
Contact Analysis ◽  
Functionally Graded ◽  
Frictionless Contact ◽  
Functionally Graded Piezoelectric
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