Mixed-mode stress intensity factors for an embedded crack in an orthotropic FGM coating

Date

2006-10-18

Author

Dağ, Serkan
Erdogan, F.

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Analytical and computational methods are developed to examine mixed-mode fracture behaviour of an orthotropic FGM coating bonded to a homogeneous substrate through a layer of a bond-coat. The coating is assumed to contain an embedded crack perpendicular to the direction of the material property gradation. First, an analytical solution is developed considering a perturbation problem. Using Fourier transform, the problem is reduced to a system of singular integral equations which are solved by means of an expansion-collocation technique. Then, finite element method is utilized to investigate the same problem using the displacement correlation technique (DCT). By using the developed finite element method, mixed-mode stress intensity factors are also evaluated for an FGM coating-bond coat-substrate structure that is subjected to thermal stresses.

Subject Keywords

Orthotropic functionally graded materials, Mixed-mode stress intensity factors, Singular integral equations, Displacement correlation technique

URI

https://hdl.handle.net/11511/55218

Conference Name

9th International Conference on Multiscale and Functionally Graded Materials

Collections

Department of Mechanical Engineering, Conference / Seminar

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Mixed-mode fracture analysis of orthotropic FGM coatings under mechanical and thermal loads İlhan, Küçük Ayşe; Dağ, Serkan; Department of Mechanical Engineering (2007) In this study, it is aimed to investigate the mixed-mode fracture behavior of orthotropic functionally graded material (FGM) coatings bonded to a homogeneous substrate through a homogeneous bond-coat. Analytical and computational methods are used to solve the embedded cracking problems under mechanical or thermal loading conditions. It is assumed that the material property gradation of the FGM coating is in the thickness direction and cracks are parallel to the boundaries. The principal axes of orthotropy a...
Analytical Solution of a Crack Problem in a Radially Graded FGM Cetin, Suat; Kadıoğlu, Fevzi Suat (2008-09-25) The objective of this study is to determine stress intensity factors (SIFs) for a crack in a functionally graded layer bonded to a homogeneous substrate. Functionally graded coating contains an edge crack perpendicular to the interface. It is assumed that plane strain conditions prevail and the crack is subjected to mode I loading. By introducing an elastic foundation underneath the homogeneous layer, the plane strain problem under consideration is used as an approximate model for an FGM coating with radial...
The frictional contact problem of sliding rigid parabolic stamps on graded materials GÜLER, MEHMET ALİ; Erdogan, F.; Dağ, Serkan (2006-10-18) This study presents an analytical procedure to determine the contact stress distribution at the surface of an FGM coating perfectly bonded to a homogeneous substrate. The coating is assumed to be loaded by a rigid stamp of a semi-circular or circular profile. Using Fourier transformations, the contact mechanics problems are reduced to a singular integral equation of the second kind. Singular behavior of the unknown contact stress distribution at the end points is determined by following a function theoretic...
Three dimensional fracture analysis of FGM coatings Inan, O; Dağ, Serkan; Erdogan, F (2005-01-01) In this study the three - dimensional surface cracking of a graded coating bonded to a homogeneous substrate is considered. The main objective is to model the subcritical crack growth process in the coated medium under a cyclic mechanical or thermal loading. Because of symmetry, along the crack front conditions of mode I fracture and plane strain deformations are assumed to be satisfied. Thus, at a given location on the crack front the crack propagation rate would be a function of the mode I stress intensit...
Contact mechanics of graded orthotropic coatings Arslan, Onur; Aksel, Mehmet Haluk; Dağ, Serkan; Department of Mechanical Engineering (2015) Analytic and computational studies are performed for contact problems of orthotropic functionally graded material (FGM) coatings which are bonded to isotropic homogeneous substrates without any interfacial defects. The orthotropic FGM coatings possess orhotrophic stiffness gradations through the coating thickness direction. The variations of each orthotropic stiffness constants are assumed to behave as exponential functions. In the analytical procedure, the problems of orthotropic graded coatings which are ...

Citation Formats

S. Dağ and F. Erdogan, “Mixed-mode stress intensity factors for an embedded crack in an orthotropic FGM coating,” Oahu, HI, 2006, vol. 973, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/55218.