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

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 Frictional Contact Problem of a Rigid Stamp Sliding over a Graded Medium

2016 ◽  
Vol 681 ◽  
pp. 155-174 ◽  
Author(s):  
M.A. Guler ◽  
M. Ozturk ◽  
A. Kucuksucu
Keyword(s):  
Contact Problem ◽  
Half Plane ◽  
Frictional Contact ◽  
Fourier Transforms ◽  
Closed Form Solution ◽  
Form Solution ◽  
Linear Elastic ◽  
Rigid Stamp ◽  
Sharp Edges ◽  
Parameter Coefficient

In this study, the contact problem for a graded elastic half-plane in frictional contact with a rigid stamp is considered. The plane contact problem is assumed to be linear elastic and the Poisson's ratio is assumed to be constant. Analytical formulation of the study includes Fourier transforms of the governing equations and boundary conditions. The resulting integral equation is solved numerically. Contact pressure, in-plane stress and the stress intensity factor at the sharp edges of the contact are evaluated and demonstrated for various stamp profiles. The results are compared with a closed form solution for homogeneous isotropic half-plane indented by rigid stamps. The effects of the nonhomogeneity parameter, coefficient of friction and stamp profiles on the contact and in-plane stresses are analyzed in detail.

scholarly journals Half-plane contacts subject to remote tension

2021 ◽  
pp. 030932472098844
Author(s):  
Nils Cwiekala ◽  
David A Hills
Keyword(s):  
Contact Problem ◽  
Half Plane ◽  
Asymptotic Form ◽  
Fretting Fatigue ◽  
The State ◽  
Partial Slip ◽  
Practical Relevance ◽  
Plane Contact ◽  
State Of Stress ◽  
Plane Contact Problem

The state of stress present in an elastic half-plane contact problem, where one or both bodies is subject to remote tension has been investigated, both for conditions of full stick and partial slip. The state of stress present near the contact edges is studied for different loading scenarios in an asymptotic form. This is of practical relevance to the study of contacts experiencing fretting fatigue, and enables the environment in which cracks nucleate to be specified.

The Influence of Grain Size and Grain Size Distribution on Sliding Frictional Contact in Laterally Graded Materials

2012 ◽  
Vol 157-158 ◽  
pp. 964-969 ◽  
Author(s):  
Romik Khajehtourian ◽  
Saeed Adibnazari ◽  
Samaneh Tashi
Keyword(s):  
Grain Size ◽  
Half Plane ◽  
Frictional Contact ◽  
Crack Nucleation ◽  
Functionally Graded ◽  
Scale Model ◽  
Effective Parameters ◽  
Graded Materials ◽  
Macro Scale ◽  
Comparison Of The Results

The sliding frictional contact problem for a laterally graded half-plane has been considered. Two finite element (FE) models, in macro and micro scales have been developed to investigate the effective parameters in contact mechanics of laterally graded materials loaded by flat and triangular rigid stamps. In macro scale model, the laterally graded half-plane is discretized by piecewise homogeneous layers for which the material properties are specified at the centroids by Mori-Tanaka method. In micro scale model, functionally graded material (FGM) structure has been modeled as ideal solid quadrant particles which are spatially distributed in a homogeneous matrix. Boundary conditions and loading is the same in both models. The microstructure has modeled as rearrangement and sizes changing of particles are possible to provide the possibility of crack nucleation investigation in non-singular regions. Analyses and comparison of the results showed that micro and macro scale results are in very good agreement. Also, increasing the grains aspect ratio and using optimum distribution of grains decrease stress distribution roughness on the surface. Therefore, the possibility of surface cracking far from stamp’s edges decreased.

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