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Mechanical and Thermal Stresses in Functionally Graded Cylinders

Authors: Ş. Aksoy, A. Kurşun, E. Çetin, E. Kara, A. Kesimli


In this study, thermal elastic stress distribution occurred on long hollow cylinders made of functionally graded material (FGM) was analytically defined under thermal, mechanical and thermo mechanical loads. In closed form solutions for elastic stresses and displacements are obtained analytically by using the infinitesimal deformation theory of elasticity. It was assumed that elasticity modulus, thermal expansion coefficient and density of cylinder materials could change in terms of an exponential function as for that Poisson’s ratio was constant. A gradient parameter n is chosen between - 1 and 1. When n equals to zero, the disc becomes isotropic. Circumferential, radial and longitudinal stresses in the FGMs cylinders are depicted in the figures. As a result, the gradient parameters have great effects on the stress systems of FGMs cylinders.

Keywords: functionally graded materials, thermoelasticity, thermomechanical load, hollow cylinder

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[1] R.C. Batra, G.J. Nie, "Analytical solutions for functionally graded incompressible eccentric and non-axisymmetrically loaded circular cylinders”, Composite Structures, vol. 92, pp. 1229-1245, 2010.
[2] A. Kurşun, "Elastoplastic stress analysis of functionally graded disc”, PhD Thesis, Pamukkale University, Denizli, Turkey 2013.
[3] H. Li, Y. Liu, "Functionally graded hollow cylinders with arbitrary varying material properties under nonaxisymmetric loads”, Mechanics Research Communications, vol. 55, pp.1-9, 2014.
[4] G.J. Nie, Z. Zhong, R.C. Batra, "Material tailoring for functionally graded hollow cylinders and spheres”, Composites Science and Technology, vol. 71, pp. 666–673, 2011.
[5] G.J. Nie, R.C. Batra, "Static deformations of functionally graded polar-orthotropic cylinders with elliptical inner and circular outer surfaces”, Composites Science and Technology, vol. 70, pp.450–457,2010.
[6] A. Ozturk, M. Gulgec, "Elastic–plastic stress analysis in a long functionally graded solid cylinder with fixed ends subjected to uniform heat generation”, International Journal of Engineering Science, vol. 49, pp. 1047–1061, 2011.
[7] R. Sburlati, "Analytical elastic solutions for pressurized hollow cylinders with internal functionally graded coatings”, Composite Structures, vol. 94, 3592-3600, 2012.
[8] C.P. Wu, H.Y. Li, "RMVT-based finite cylindrical prism methods for multilayered functionally graded circular hollow cylinders with various boundary conditions”, Composite Structures, vol. 100,pp. 592–608, 2013.