This article presents analytical and computational methods for mixed-mode fracture analysis of an orthotropic functionally graded material (FGM) coating-bond coat-substrate structure. The analytical solution is developed by considering an embedded crack in the orthotropic FGM coating. The embedded crack is assumed to be loaded through arbitrary self-equilibrating mixed-mode tractions that are applied to its surfaces. Governing partial differential equations for each of the layers in the trilayer structure are derived in terms of the effective parameters of plane orthotropic elasticity. The problem is then reduced to a system of two singular integral equations, which is solved numerically to evaluate the mixed-mode crack tip parameters. The computational approach is based on the finite element method and is developed by applying the displacement correlation technique. The use of two separate methods in the analyses allowed direct comparisons of the results obtained for an embedded crack in the orthotropic FGM coating, leading to a highly accurate numerical predictive capability. The finite element based approach is used to generate further numerical results by considering periodic cracking in the orthotropic FGM coating. Parametric analyses presented in this article illustrate the influences of the material nonhomogeneity and orthotropy constants, the bond coat thickness, and the crack periodicity on the mixed-mode stress intensity factors and the energy release rate.
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e-mail: sdag@metu.edu.tr
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September 2008
Special Issue Honoring Professor Fazil Erdogan’S Contributions To Mixed Boundary Value Problems Of Inhomogeneous And Functionally Graded Materials
Mixed-Mode Fracture Analysis of Orthotropic Functionally Graded Material Coatings Using Analytical and Computational Methods
Serkan Dag,
Serkan Dag
Mem. ASME
Department of Mechanical Engineering,
e-mail: sdag@metu.edu.tr
Middle East Technical University
, Ankara 06531, Turkey
Search for other works by this author on:
K. Ayse Ilhan
K. Ayse Ilhan
Department of Mechanical Engineering,
Middle East Technical University
, Ankara 06531, Turkey
Search for other works by this author on:
Serkan Dag
Mem. ASME
Department of Mechanical Engineering,
Middle East Technical University
, Ankara 06531, Turkeye-mail: sdag@metu.edu.tr
K. Ayse Ilhan
Department of Mechanical Engineering,
Middle East Technical University
, Ankara 06531, TurkeyJ. Appl. Mech. Sep 2008, 75(5): 051104 (9 pages)
Published Online: July 10, 2008
Article history
Received:
May 28, 2007
Revised:
December 27, 2007
Published:
July 10, 2008
Citation
Dag, S., and Ilhan, K. A. (July 10, 2008). "Mixed-Mode Fracture Analysis of Orthotropic Functionally Graded Material Coatings Using Analytical and Computational Methods." ASME. J. Appl. Mech. September 2008; 75(5): 051104. https://doi.org/10.1115/1.2932098
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