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Flexural behavior of porous functionally graded plates using a novel higher order theory | ||
| Journal of Computational Applied Mechanics | ||
| مقاله 74، دوره 51، شماره 2، اسفند 2020، صفحه 361-373 اصل مقاله (1.24 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22059/jcamech.2020.298540.488 | ||
| نویسندگان | ||
| Sidda Bathini* 1؛ K. Vijaya Kumar Reddy* 2 | ||
| 1Rajeev Gandhi Memorial College of Engineering & Technology, Nandyal,, Kurnool, A.P, India | ||
| 2Jawaharlal Nehru Technological Univeristy, Hydeerabad, Telangana, India. | ||
| چکیده | ||
| In this paper, the flexural response of functionally graded plates with porosities is investigated using a novel higher order shear deformation theory, which considers the influence of thickness stretching. This theory fulfills the nullity conditions at the top and bottom of the plate for the transverse shear stresses, thus avoids the need of a shear correction factor. The effective material properties are computed through the rule of mixtures. The principle of virtual displacements is employed to derive the equilibrium equations. The Navier’s method is adopted to obtain the solutions in closed form for simply supported boundary conditions. The accuracy and consistency of the developed theory are established with numerical results of perfect and porous functionally graded plates available in the open literature. The dimensionless transverse displacements and stresses have been reported. The effect of even, uneven and logarithmically-uneven porosity distributions with different porosity volume fraction, gradation index, side-to thickness ratios and aspect ratios are studied. The numerical results show that, the increase of volume fraction of porosity increases the dimensionless transverse deflections and axial stresses, and decreases the transverse shear stresses. No variation of transverse shear stresses observed for a completely ceramic and metallic plate for all kinds of porosity models. The provided numerical results can be used to evaluate various plate theories and also to compare the results of other analytical methods and finite element methods. | ||
| کلیدواژهها | ||
| Functionally graded plates؛ Porosities؛ Flexure؛ Rule of Mixtures؛ Navier’s method | ||
| مراجع | ||
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[1] Zhu J., Lai Z., Yin Z., Jeon J., Lee S., 2001, Fabrication of ZrO2–NiCr functionally graded material by powder metallurgy, Materials Chemistry and Physics, doi: https://doi.org/10.1016/S0254-0584(00)00355-2
[2] Mohammadi M., Ghayour M., Farajpour A., 2011, Analysis Of Free Vibration Sector Plate Based On Elastic Medium By Using New Version Of Differential Quadrature Method, Journal Of Simulation And Analysis Of Novel Technologies In Mechanical Engineering (Journal Of Solid Mechanics In Engineering) 3(2): 47-56.
[3] Mohammadi M., Farajpour A., Goodarzi M., Mohammadi H., 2013, Temperature Effect on Vibration Analysis of Annular Graphene Sheet Embedded on Visco-Pasternak Foundation, Journal of Solid Mechanics 5(3): 305-323.
[4] Safarabadi M., Mohammadi M., Farajpour A., Goodarzi M., 2015, Effect of Surface Energy on the Vibration Analysis of Rotating Nanobeam, Journal of Solid Mechanics 7(3): 299-311.
[5] M. Baghani, M. Mohammadi, A. Farajpour, Dynamic and Stability Analysis of the Rotating Nanobeam in a Nonuniform Magnetic Field Considering the Surface Energy, International Journal of Applied Mechanics, doi:10.1142/S1758825116500484.
[6] Goodarzi M., Mohammadi M. , Khooran M., Saadi F., 2016, Thermo-Mechanical Vibration Analysis of FG Circular and Annular Nanoplate Based on the Visco-Pasternak Foundation, Journal of Solid Mechanics 8(4): 788-805. [7] Şeref Doğuşcan Akbaş, 2017, Vibration and Static Analysis of Functionally Graded Porous Plates, Journal of applied and computational mechanics, doi: 10.22055/JACM.2017.21540.1107.
[8] Zenkour A. M., 2018, A quasi-3D refined theory for functionally graded single-layered and sandwich plates with porosities, Composite structures, doi: https://doi.org/10.1016/j.compstruct.2018.05.147.
[9] Nguyen Nam, Nguyen Hoang V., Lee X., Seungyhe, Nguyen-Xuan H, 2018, Geometrically nonlinear polygonal finite element analysis of functionally graded porous plates, Advances in Engineering software, doi: https://doi.org/10.1016/j.advengsoft.2018.11.005.
[10] Li, Keyan, Di Wu, Xiaojun Chen, Jin Cheng, Zhenyu Liu, Wei Gao and Muyu Liu, 2018, Isogeometric Analysis of functionally graded porous plates reinforced by graphene platelets, Composite structures, doi: https://doi.org/10.1016/j.compstruct.2018.07.059.
[11] Merdaci Slimane, 2018, Analysis of Bending of ceramic-metal functionally graded plates with porosities using of higher order shear theory, Advanced Engineering Forum, doi:10.4028/www.scientific.net/AEF.30.54.
[12] Pinar Aydan DEMIRHAN, Vedat TASKIN, 2019,Bending and free vibration analysis of Levy-type porous functionally graded plate using state space approach, Composite Part B: Engineering, doi: https://doi.org/10.1016/j.compositesb.2018.12.020.
[13] Semsi Coskun, Jinseok Kim, Houssam Toutanji, 2019, Bending, Free Vibration, and Buckling Analysis of Functionally Graded Porous Micro-Plates Using a General Third-Order Plate Theory, Journal of composites science, doi:10.3390/jcs3010015.
[14] Jinseok Kim, Krzysztof KamilŻur, J.N Reddy, 2019, Bending, free vibration, and buckling of modified couples stress-based functionally graded porous micro-plates, Composite structures doi: https://doi.org/10.1016/j.compstruct.2018.11.023
[15] Chen D., Yang J., Kitipornchai S, 2019, Buckling and bending analyses of a novel functionally graded porous plate using Chebyshev-Ritz method, Archieves of Civil and Mechanical Engineering, doi: https://doi.org/10.1016/j.acme.2018.09.004.
[16] Ahmed Amine Daikh , Zenkour A. M, 2019, Effect of porosity on the bending analysis of various functionally graded sandwich plates, Materials research Express, doi: https://doi.org/10.1088/2053-1591/ab0971.
[17] Slimane Merdaci, Hakima Belghoul, 2019, High-order shear theory for static analysis of functionally graded plates with porosities, C. R. Mécanique, https://doi.org/10.1016/j.crme.2019.01.001.
[18] Amir Farzam and Behrooz Hassani, 2019, Isogeometric analysis of in-plane functionally graded porous microplates using modified couple stress theory, Aerospace Science and Technology, doi: https://doi.org/10.1016/j.ast.2019.05.012.
[19] Jing Zhao., Kwangnam Choe., Fei Xie, Ailun Wang, Cijun Shuai and Qingshan Wang, 2018, Three-dimensional exact solution for vibration analysis of thick functionally graded porous (FGP) rectangular plates with arbitrary boundary conditions, Composites Part B: Engineering, doi: https://doi.org/10.1016/j.compositesb.2018.09.001.
[20] Zenkour A.M, 2007, Benchmark trigonometric and 3-D elasticity solutions for an exponentially graded thick rectangular plate, Archieve of Applied Mechanics, https://doi.org/10.1007/s00419-006-0084-y.
[21] Mantari J.L., Guedes Soares C, 2013, A novel higher-order shear deformation theory with stretching effect for functionally graded plates, Composites part B: Engineering, https://doi.org/10.1016/j.compositesb.2012.05.036. | ||
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