Static Analysis of Simply Supported Functionally Graded Sandwich Plates by Using Four Variable Plate Theory

Pınar Aydan DEMİRHAN, (Trakya Üniversitesi, Makine Mühendisliği)
Vedat (Trakya Üniversitesi, Makine Mühendisliği)
Teknik Dergi
4 0
Yıl: 2019 Cilt: 30 Sayı: 2 Sayfa Aralığı: 8987 - 9007 Metin Dili: İngilizce DOI: 10.18400/tekderg.396672 İndeks Tarihi: 15-04-2021

Static Analysis of Simply Supported Functionally Graded Sandwich Plates by Using Four Variable Plate Theory

Öz:
In this study, the static analysis of a simply supported square functionally graded sandwich plate is performed. The core of the sandwich plate is assumed to be isotropic and the face sheets functionally graded. The variations in the effective properties of functionally graded face sheets along the thickness are obtained by using Mori-Tanaka Micromechanical Model. Four variable plate theory is used for the displacement fields. The equation of sandwich plate under sinusoidal load is obtained using the virtual displacement principle. Closed form solution is obtained with Navier’s approach. Parametric values are obtained for the core and face sheet thickness ratios. The numerical results are compared with the literature and a good agreement between the obtained results and other theories in the literature is observed.
Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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  • Reddy, J.N., Wang, C.M., An overview of the relationships between solutions of the classical and shear deformation plate theories. Composites Science and Technology, 60, 2327-2335, 2000.
  • [2] Thai, H.T., Kim, S.E., A review of theories for the modeling and analysis of functionally graded plates and shells. Composite Structures. 128, 70-86, 2015.
  • [3] Zenkour, A.M., A comprehensive analysis of functionally graded sandwich plates: Part 1-Deflection and stresses. International Journal of Solids and Structures, 42, 5224- 5242, 2005.
  • [4] Zenkour, A.M., Alghamdi, N.A., Bending analysis of functionally graded sandwich plates under the effect of mechanical and thermal loads. Mechanics of Advanced Materials and Structures, 17, 419–432, 2010.
  • [5] Thai, H.T., Choi, D.H., A simple first-order shear deformation theory for the bending and free vibration analysis of functionally graded plates. Composite Structures, 101, 332-340, 2013.
  • [6] Thai, H.T., Nguyen, T.K., Vo, T.P., Lee, J., Analysis of functionally graded sandwich plates using a new first-order shear deformation theory. European Journal of Mechanics A/Solids, 45, 211-225, 2014.
  • [7] Kim, J., Reddy, J.N., Analytical solutions for bending, vibration, and buckling of FGM plates using a couple stress-based third-order theory. Composite Structures, 103, 86- 98, 2013.
  • [8] Tounsi, A., Houari, M.S.A., Benyoucef, S., Bedia, E.A.A., A refined trigonometric shear deformation theory for thermoelastic bending of functionally graded sandwich plates. Aerospace Science and Technology, 24, 209-220, 2013.
  • [9] Reddy, J.N., Analysis of functionally graded plates. International Journal for Numerical Methods in Engineering, 47, 663-684, 2000.
  • [10] Mantari, J.L., Oktem, A.S., Soares, C.G., Static and dynamic analysis of laminated composite and sandwich plates and shells by using a new higher-order shear deformation theory. Composite Structures, 94, 37-49, 2011.
  • [11] Abdelaziz, H.H., Atmane, H.A., Mechab, I., Boumia, L., Tounsi, A., Abbas, A.B.E., Static analysis of functionally graded sandwich plates using an efficient and simple refined theory. Chinese Journal of Aeronautics, 24, 434-448, 2011.
  • [12] Mantari, J.L., Granados, E.V., Thermoelastic analysis of advanced sandwich plates based on a new quasi-3D hybrid type HSDT with 5 unknowns. Composites: Part B, 69, 317-334, 2014.
  • [13] Brischetto, S., Leetsch, R., Carrera, E., Wallmersperger, T., Kröplin, B., Thermo- mechanical bending of functionally graded plates. Journal of Thermal Stresses, 31, 286- 308, 2008.
  • [14] Nguyen,V.H.,Nguyen,T.K.,Thai,H.T.,Vo,T.P.,Anewinversetrigonometricshear deformation theory for isotropic and functionally graded sandwich plates. Composites: Part B, 66, 233-246, 2014.
  • [15] Li,X.F.,Wang,B.L.,Han,J.C.,Ahigher-ordertheoryforstaticanddynamicanalyses of functionally graded beams. Archive of Applied Mechanics, 80, 1197-1212, 2010.
  • [16] Akavci,S.S.,Tanrikulu,A.H.,Staticandfreevibrationanalysisoffunctionallygraded plates based on a new quasi-3D and 2D shear deformation theories. Composites Part B, 83, 203-215, 2015.
  • [17] Shimpi, R.P., Refined Plate Theory and Its Variants. AIAA JOURNAL, 40, 137-146, 2002.
  • [18] Mechab, I., Atmane, H.A., Tounsi, A., Belhadj, H.A., Bedia, E.A.A., A two variable refined plate theory for the bending analysis of functionally graded plates. Acta Mechanica Sinica, 26, 941-949, 2010.
  • [19] Houari, M.S.A., Benyoucef, S., Mechab, I., Tounsi, A., Bedia, E.A.A., Two-variable refined plate theory for thermoelastic bending analysis of functionally graded sandwich plates. Journal of Thermal Stresses, 34(4), 315-334, 2011.
  • [20] Benachour,A.,Tahar,H.D.,Atmane,H.A.,Tounsi,A.,Ahmed,M.S.,Afourvariable refined plate theory for free vibrations of functionally graded plates with arbitrary gradient. Composites Part B-Engineering, 42(6), 1386-1394, 2011.
  • [21] Hadji, L., Atmane, H.A., Tounsi, A., Mechab, I., Bedia, E.A., Free vibration of functionally graded sandwich plates using four-variable refined plate theory. Applied Mathematics and Mechanics, 32(7), 925-942, 2011.
  • [22] Bouiadjra,M.B.,Houari,A.M.S.,Tounsi,A.,Thermalbucklingoffunctionallygraded plates according to a four-variable refined plate theory. Journal of Thermal Stresses, 35(8), 677-694, 2012.
  • [23] Demirhan,P.A.,Taskin,V.,Levysolutionforbendinganalysisoffunctionallygraded sandwich plates based on four variable plate theory. Composite Structures, 177, 80-95, 2017. https://doi.org/10.1016/j.compstruct.2017.06.048.
  • [24] Thai, H.T., Choi, D.H., A refined shear deformation theory for free vibration of functionally graded plates on elastic foundation. Composites Part B-Engineering, 43(5), 2335-2347, 2012.
  • [25] Thai, H.T., Uy, B., Levy solution for buckling analysis of functionally graded plates based on a refined plate theory. Proceedings of The Institution of Mechanical Engineers Part C-journal of Mechanical Engineering Science, 227(12), 2649-2664, 2013.
  • [26] Thai,H.T.,Choi,D.H.,Improvedrefinedplatetheoryaccountingforeffectofthickness stretching in functionally graded plates. Composites: Part B, 56, 705–716, 2014.
  • [27] Demirhan, P.A., Taskin, V., Static analysis of simply supported foam core sandwich plate, Materials, Methods & Technologies, ISSN 1314-7269, Volume 10, 2016.
  • [28] Thai,H.T.,Choi,D.H.,Levysolutionforfreevibrationanalysisoffunctionallygraded plates based on a refined plate theory. KSCE Journal of Civil Engineering 18(6), 1813- 1824, 2014.
  • [29] Rouzegar, J., Abad, F., Free vibration analysis of FG plate with piezoelectric layers using four-variable refined plate theory. Thin-Walled Structures, 89, 76-83, 2015.
  • [30] Bessaim, A., Houari, M.S.A., Tounsi, A., Mahmoud, S.R., Bedia, E.A.A., A new higher-order shear and normal deformation theory for the static and free vibration analysis of sandwich plates with functionally graded isotropic face sheets. Journal of Sandwich Structures and Materials, 15(6), 671–703, 2013.
  • [31] Thai,C.H.,Zenkour,A.M.,Wahab,M.A.,Nguyen-Xuan,H.,Asimplefour-unknown shear and normal deformations theory for functionally graded isotropic and sandwich plates based on isogeometric analysis. Composite Structures, 139, 77–95, 2016.
APA demirhan p, V (2019). Static Analysis of Simply Supported Functionally Graded Sandwich Plates by Using Four Variable Plate Theory. , 8987 - 9007. 10.18400/tekderg.396672
Chicago demirhan pinar aydan, Vedat Static Analysis of Simply Supported Functionally Graded Sandwich Plates by Using Four Variable Plate Theory. (2019): 8987 - 9007. 10.18400/tekderg.396672
MLA demirhan pinar aydan, Vedat Static Analysis of Simply Supported Functionally Graded Sandwich Plates by Using Four Variable Plate Theory. , 2019, ss.8987 - 9007. 10.18400/tekderg.396672
AMA demirhan p, V Static Analysis of Simply Supported Functionally Graded Sandwich Plates by Using Four Variable Plate Theory. . 2019; 8987 - 9007. 10.18400/tekderg.396672
Vancouver demirhan p, V Static Analysis of Simply Supported Functionally Graded Sandwich Plates by Using Four Variable Plate Theory. . 2019; 8987 - 9007. 10.18400/tekderg.396672
IEEE demirhan p, V "Static Analysis of Simply Supported Functionally Graded Sandwich Plates by Using Four Variable Plate Theory." , ss.8987 - 9007, 2019. 10.18400/tekderg.396672
ISNAD demirhan, pinar aydan - , Vedat. "Static Analysis of Simply Supported Functionally Graded Sandwich Plates by Using Four Variable Plate Theory". (2019), 8987-9007. https://doi.org/10.18400/tekderg.396672
APA demirhan p, V (2019). Static Analysis of Simply Supported Functionally Graded Sandwich Plates by Using Four Variable Plate Theory. Teknik Dergi, 30(2), 8987 - 9007. 10.18400/tekderg.396672
Chicago demirhan pinar aydan, Vedat Static Analysis of Simply Supported Functionally Graded Sandwich Plates by Using Four Variable Plate Theory. Teknik Dergi 30, no.2 (2019): 8987 - 9007. 10.18400/tekderg.396672
MLA demirhan pinar aydan, Vedat Static Analysis of Simply Supported Functionally Graded Sandwich Plates by Using Four Variable Plate Theory. Teknik Dergi, vol.30, no.2, 2019, ss.8987 - 9007. 10.18400/tekderg.396672
AMA demirhan p, V Static Analysis of Simply Supported Functionally Graded Sandwich Plates by Using Four Variable Plate Theory. Teknik Dergi. 2019; 30(2): 8987 - 9007. 10.18400/tekderg.396672
Vancouver demirhan p, V Static Analysis of Simply Supported Functionally Graded Sandwich Plates by Using Four Variable Plate Theory. Teknik Dergi. 2019; 30(2): 8987 - 9007. 10.18400/tekderg.396672
IEEE demirhan p, V "Static Analysis of Simply Supported Functionally Graded Sandwich Plates by Using Four Variable Plate Theory." Teknik Dergi, 30, ss.8987 - 9007, 2019. 10.18400/tekderg.396672
ISNAD demirhan, pinar aydan - , Vedat. "Static Analysis of Simply Supported Functionally Graded Sandwich Plates by Using Four Variable Plate Theory". Teknik Dergi 30/2 (2019), 8987-9007. https://doi.org/10.18400/tekderg.396672
Sayfa Oluşturulma Tarihi
05-06-2024 13:41

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