Show/Hide Menu
Hide/Show Apps
anonymousUser
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Videos
Videos
Thesis submission
Thesis submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Contact us
Contact us
A surface crack in a graded coating bonded to a homogeneous substrate under general loading conditions
Download
index.pdf
Date
2007-09-01
Author
El-Borgi, Sami
Abdelmoula, Radhi
Dağ, Serkan
Lajnef, Nizar
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
8
views
8
downloads
Cite This
The elastostatic problem of a surface crack in a graded coating bonded to a homogeneous substrate under general loading conditions is considered. The coating is graded along the thickness direction and modeled as a nonhomogeneous medium with an isotropic stress-strain law. The problem is solved under the assumption of plane strain or generalized plane stress conditions. The crack surfaces are subjected to arbitrary loadings which give rise to mixed fracture modes which can be uncoupled due to the fact that the crack axis is parallel to the material gradient. Therefore, the opening and sliding mode problems may be formulated separately. For each problem, the solution of the composite medium may be determined by obtaining the solution of the homogeneous substrate and that of the graded layer. The latter solution may be expressed as the sum of two solutions, namely an infinite graded medium with a crack and a graded strip without a crack. The resulting mixed-boundary value problem is reduced to a set of two uncoupled singular integral equations which are solved numerically using Jacobi polynomials. The main objective of the paper is to study the effect of the layer thickness and nonhomogeneity parameter on the crack tip mixed-mode stress intensity factors for the purpose of gaining better understanding on the behavior of graded coatings.
Subject Keywords
Mechanics of Materials
,
Applied Mathematics
URI
https://hdl.handle.net/11511/41803
Journal
JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES
DOI
https://doi.org/10.2140/jomms.2007.2.1331
Collections
Department of Mechanical Engineering, Article
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
S. El-Borgi, R. Abdelmoula, S. Dağ, and N. Lajnef, “A surface crack in a graded coating bonded to a homogeneous substrate under general loading conditions,”
JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES
, vol. 2, no. 7, pp. 1331–1353, 2007, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/41803.