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Frictionless Contact Problem for a Functionally Graded Layer Loaded Through Two Rigid Punches Using Finite Element Method

Published online by Cambridge University Press:  19 July 2019

A. Polat Open the ORCID record for A. Polat [Opens in a new window] ,
Y. Kaya ,
K. Bendine  and
T.Ş. Özşahin
A. Polat*
Affiliation:
Department of Construction Technology Munzur UniversityTunceli, Turkey
Y. Kaya
Affiliation:
Civil Engineering Department, Gümüşhane UniversityGümüşhane, Turkey
K. Bendine
Affiliation:
Department of Mechanics Djillali Liabès University of Sidi Bel-AbbèsAlgeria
T.Ş. Özşahin
Affiliation:
Civil Engineering Department, Karadeniz Technical UniversityTrabzon, Turkey
*
*Corresponding author (apolat80@gmail.com)
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Abstract

In this study, continuous contact problem in the functionally graded (FG) layer loaded with two rigid flat blocks resting on the elastic semi-infinite plane was analyzed by the finite element method. The two-dimensional numerical model of the FG layer was made with the software added to the ANSYS program. This software can be adapted to all contact problem types by making minor changes. The accuracy check of the program was performed by comparing with the analytical solution of the problem by homogeneous layer and its solution by the finite element method. So, fast and practical solutions can be obtained by the developed finite element method on many applications such as; automotive, aviation and space industry applications. The comparisons made showed that the proposed solution gave good results at acceptable levels. In the problem, it was thought that all surfaces were frictionless. The external loads P and Q were transmitted to the FG layer via two flat rigid blocks. Normal stresses between the FG layer and the elastic plane, initial separation loads, initial separation distances and contact stresses under the blocks were investigated for various dimensionless quantities.

Keywords

Finite element methodFunctionally graded layerContact problemElasticityHomogeneous layer
Type
Research Article
Information
Journal of Mechanics , Volume 35 , Issue 5 , October 2019 , pp. 591 - 600
Copyright
© The Society of Theoretical and Applied Mechanics 2019 

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References

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