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http://dx.doi.org/10.12989/sem.2016.58.3.423

Axisymmetric analysis of a functionally graded layer resting on elastic substrate  

Turan, Muhittin (Department of Civil Engineering, Karadeniz Technical University)
Adiyaman, Gokhan (Department of Civil Engineering, Karadeniz Technical University)
Kahya, Volkan (Department of Civil Engineering, Karadeniz Technical University)
Birinci, Ahmet (Department of Civil Engineering, Karadeniz Technical University)
Publication Information
Structural Engineering and Mechanics / v.58, no.3, 2016 , pp. 423-442 More about this Journal
Abstract
This study considers a functionally graded (FG) elastic layer resting on homogeneous elastic substrate under axisymmetric static loading. The shear modulus of the FG layer is assumed to vary in an exponential form through the thickness. In solution, the FG layer is approximated into a multilayered medium consisting of thin homogeneous sublayers. Stiffness matrices for a typical homogeneous isotropic elastic layer and a half-space are first obtained by solving the axisymmetric elasticity equations with the aid of Hankel's transform. Global stiffness matrix is, then, assembled by considering the continuity conditions at the interfaces. Numerical results for the displacements and the stresses are obtained and compared with those of the classical elasticity and the finite element solutions. According to the results of the study, the approach employed here is accurate and efficient for elasto-static problems of FGMs.
Keywords
stiffness matrix method; functionally graded material; layered media; elasticity; Hankel's transform;
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Times Cited By KSCI : 1  (Citation Analysis)
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