Crack problem for a functionally graded layer on an elastic foundation

Kadıoğlu, Fevzi Suat
Yahşi, Selçuk
In this paper internal and edge crack problems for an FGM layer attached to an elastic foundation are considered. This model can be used to simulate circumferential crack problem for a thin walled cylinder. It is assumed that the mechanical properties of the layer are varying in thickness direction. Crack is assumed to be perpendicular to the surfaces. For this geometry stress intensity factors are calculated for a number of different crack surface tractions. By using the calculated stress intensity factors and the principle of superposition it is possible to obtain solutions for physically meaningful cases such as fixed grip constant strain loading, membrane loading and bending.
International Journal of Fracture


Mechanical modeling of Thin Films Bonded to Functionally Graded Materials
GÜLER, MEHMET ALİ; Gulver, Yusuf Fuat; Dağ, Serkan (2008-09-25)
In this study the contact problems of thin films bonded to Functionally Graded Materials (FGM) are considered. In these problems the loading consists of any one or combination of stresses caused by uniform temperature changes and temperature excursions, far field mechanical loading, and residual stresses resulting from film processing or in the manufacturing process of the graded coating. The primary interest in this study is in examining stress concentrations or singularities near the film ends for the pur...
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...
Melt infiltration of ceramic preforms for functionally graded materials
Erdamar, Caner; Kalkanlı, Ali; Department of Metallurgical and Materials Engineering (2019)
The aim of this work was to produce ceramic-metal composite which shows combination of high hardness and high flexural strength by a combination of hard front layer and tough back layer by Functionally Graded Materials (FGM) process. Composition is the most important variable to obtain gradual changing green/bulk density and/or porosity which are the requirements of an FGM sample. Three different layers of FGM with gradual changing green density and/or porosity were pressed following by ball milling of diff...
Circumferential crack problem for an fgm cylinder under thermal stresses
Dağ, Serkan; Kadıoğlu, Fevzi Suat (1999-01-01)
The main objective of this study is to determine the stress intensity factors associated with a circumferential crack in a thin-walled cylinder subjected to quasi-static thermal loading. The cylinder is assumed to be a functionally graded material In order to make the problem analytically tractable, the thin-walled cylinder is modeled as a layer on an elastic foundation whose thermal and mechanical properties are exponential functions of the thickness coordinate. Hence a plane strain crack problem is obtain...
Nonlinear Vibrations of a Functionally Graded Material Microbeam with Geometric Nonlinearity
Uz, Canan; Ciğeroğlu, Ender (2017-02-02)
In this paper, nonlinear vibration analysis of micro scale functionally graded material (FGM) beams with geometric nonlinearity due to large deflection is studied using modified couple stress theory (MCST). MCST is a nonlocal elasticity theory which includes a material length scale parameter since the size of an atomic microstructure becomes comparable to the length of the microbeam. Equations of motion of the micro scale FGM beam are obtained by using Hamilton's principle. Nonlinear free vibrations of the ...
Citation Formats
F. S. Kadıoğlu and S. Yahşi, “Crack problem for a functionally graded layer on an elastic foundation,” International Journal of Fracture, pp. 63–77, 1998, Accessed: 00, 2020. [Online]. Available: