An elasticity solution for transversely isotropic, functionally graded circular plates
This article presents a new elasticity solution for transversely isotropic, functionally graded circular plates subject to axisymmetric loads. It is assumed that the material properties vary along the thickness of a circular plate according to an exponential form. By extending the displacement funct...
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| Published in | Mechanics of advanced materials and structures Vol. 23; no. 4; pp. 451 - 457 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Taylor & Francis
02.04.2016
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1537-6494 1537-6532 |
| DOI | 10.1080/15376494.2014.984091 |
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| Abstract | This article presents a new elasticity solution for transversely isotropic, functionally graded circular plates subject to axisymmetric loads. It is assumed that the material properties vary along the thickness of a circular plate according to an exponential form. By extending the displacement function presented by Plevako to the case of transversely isotropic material, we derived the governing equation of the problem studied. The displacement function was assumed as the sum of the Bessel function and polynomial function to obtain the analytical solution of a transversely isotropic, functionally graded circular plate under different boundary conditions. As a numerical example, the influence of the graded variations of the material properties on the displacements and stresses was studied. The results demonstrate that the graded variations have a significant effect on the mechanical behavior of a circular plate. |
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| AbstractList | This article presents a new elasticity solution for transversely isotropic, functionally graded circular plates subject to axisymmetric loads. It is assumed that the material properties vary along the thickness of a circular plate according to an exponential form. By extending the displacement function presented by Plevako to the case of transversely isotropic material, we derived the governing equation of the problem studied. The displacement function was assumed as the sum of the Bessel function and polynomial function to obtain the analytical solution of a transversely isotropic, functionally graded circular plate under different boundary conditions. As a numerical example, the influence of the graded variations of the material properties on the displacements and stresses was studied. The results demonstrate that the graded variations have a significant effect on the mechanical behavior of a circular plate. |
| Author | Shi, Juntao Nie, Guojun Zhong, Zheng Lu, Yingya |
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| Cites_doi | 10.1016/j.ijsolstr.2006.04.026 10.1016/S1007-0214(10)70033-X 10.1016/j.compositesb.2012.05.029 10.1007/s00707-007-0498-9 10.1016/j.compscitech.2006.08.023 10.1016/j.ijsolstr.2007.07.023 10.1016/S0020-7683(03)00288-9 10.1007/s10338-007-0734-9 10.2514/1.26674 10.1177/002199803035565 10.1016/0020-7403(96)00020-3 10.1016/S0266-3538(01)00007-0 10.1016/j.compstruct.2009.12.002 10.1016/j.ijsolstr.2007.07.018 10.1016/j.ijsolstr.2009.06.001 |
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| SubjectTerms | analytical solution Bessel function Bessel functions circular plate Circular plates Displacement displacement function Elasticity Functionally graded materials Functionally gradient materials Mathematical analysis Mathematical models Polynomials transversely isotropic materials |
| Title | An elasticity solution for transversely isotropic, functionally graded circular plates |
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