Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Acta Mechanica
Published in: Acta Mechanica 2/2020

26-11-2019 | Original Paper

Sliding contact problem of an FGM coating/substrate system with two-dimensional material property grading

Authors: Y. Alinia, M. Espo

Published in: Acta Mechanica | Issue 2/2020

Login to get access

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

We consider the sliding contact problem of an FGM coating/substrate system with two-dimensional material property variations. The medium is pressed by a rigid flat stamp. It is assumed that the shear modulus varies exponentially within the coating both longitudinally and laterally. The governing integral equations associated with the mentioned contact problem are constructed using the Fourier transform technique. Finally, the numerical solution of the integral equations is obtained by applying the Gauss–Chebyshev integration method. The main objective of this study is to investigate the effect of different parameters such as the non-homogeneity parameter in two directions, the coefficient of friction, and the coating thickness on the surface contact tractions and the surface in-plane stress. The results indicate that the stress concentration factor near the contact edges can be reduced by appropriate material properties adjustments.
previous article Variational principles for nonlinear Kirchhoff rods
next article Doubly periodic array of coated cylindrical inclusions model and applications for nanocomposites
Literature
1.
Chen, P., Chen, S., Peng, J.: Sliding contact between a cylindrical punch and a graded half-plane with an arbitrary gradient direction. J. Appl. Mech. 82(4), 041008-1–041008-9 (2015)MathSciNet
2.
Choi, H., Paulino, G.: Thermo elastic contact mechanics for a flat punch sliding over a graded coating/substrate system with frictional heat generation. J. Mech. Phys. Solids 56(4), 1673–1692 (2008)MathSciNetCrossRef
3.
Dag, S.: Crack and contact problems in graded materials. Ph.D. dissertation (2001)
4.
Dag, S., Erdogan, F.: A surface crack in a graded medium loaded by a sliding rigid stamp. Eng. Fract. Mech. 69(14), 1729–1751 (2002)CrossRef
5.
Dag, S., Guler, M.A., Yildirim, B., Ozatag, A.C.: Sliding frictional contact between a rigid punch and a laterally graded elastic medium. Int. J. Solids Struct. 46(22), 4038–4053 (2009)CrossRef
6.
Dag, S., Guler, M.A., Yildirim, B., Ozatag, A.C.: Frictional Hertzian contact between a laterally graded elastic medium and a rigid circular stamp. Acta Mech. 224(8), 1773–1789 (2013)MathSciNetCrossRef
7.
Erdogan, F., Gupta, G.: On the numerical solution of singular integral equation. Q. Appl. Math. 29, 525–534 (1972)MathSciNetCrossRef
8.
Espo, M.: Sliding contact problem of an FGM coating/substrate system with two-dimensional material property variations. MSC dissertation (2016)
9.
10.
Guler, M.: Contact mechanics of FGM coatings. Ph.D. dissertation (2000)
11.
Ke, L.-L., Wang, Y.-S.: Two-dimensional contact mechanics of functionally graded materials with arbitrary variations of material properties. Int. J. Solids Struct. 43(18), 5779–5798 (2006)CrossRef
12.
Ke, L.-L., Wang, Y.-S.: Fretting contact with finite friction of a functionally graded coating with arbitrarily varying elastic modulus part 1: normal loading. J. Strain Anal. Eng. Des. 42(5), 293–304 (2007)CrossRef
13.
Ke, L.-L., Wang, Y.-S.: Fretting contact with finite friction of a functionally graded coating with arbitrarily varying elastic modulus part 2: tangential loading. J. Strain Anal. Eng. Des. 42(5), 305–313 (2007)CrossRef
14.
Ke, L.-L., Wang, Y.-S.: Two-dimensional sliding frictional contact of functionally graded materials. Eur. J. Mech. - A/Solids 26(1), 171–188 (2007)CrossRef
15.
Shodja, H., Ghahremaninejad, A.: An FGM coated elastic solid under thermomechanical loading: a two dimensional linear elastic approach. Surf. Coat. Technol. 200(12), 4050–4064 (2006)CrossRef
16.
Yang, J., Ke, L.: Two dimensional contact problem for a coating-graded layer-substrate structure under a rigid cylindrical punch. Int. J. Mech. Sci. 50(6), 985–994 (2008)MathSciNetCrossRef
Metadata
Title
Sliding contact problem of an FGM coating/substrate system with two-dimensional material property grading
Authors
Y. Alinia
M. Espo
Publication date
26-11-2019
Publisher
Springer Vienna
Published in
Acta Mechanica / Issue 2/2020
Print ISSN: 0001-5970
Electronic ISSN: 1619-6937
DOI
https://doi.org/10.1007/s00707-019-02563-z

Other articles of this Issue 2/2020

Acta Mechanica 2/2020 Go to the issue

Original Paper

Numerical prediction of orthotropic elastic properties of 3D-printed materials using micro-CT and representative volume element

Original Paper

Conservative Allen–Cahn equation with a nonstandard variable mobility

Original Paper

Surging glaciers II: mathematically exact two-dimensional stress tensor fields

Original Paper

Preservation of adiabatic invariants for disturbed Hamiltonian systems under variational discretization

Original Paper

Doubly periodic array of coated cylindrical inclusions model and applications for nanocomposites

Original Paper

Generalized Emden–Fowler equations in noncentral curl forces and first integrals

Premium Partners

    Image Credits