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Published in: Archive of Applied Mechanics 8/2023

03-05-2023 | Original

Bending analysis of two different types of functionally graded material porous sandwich plates

Authors: Zhicheng Huang, Mengna Han, Xingguo Wang, Fulei Chu

Published in: Archive of Applied Mechanics | Issue 8/2023

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Abstract

In this paper, a new functionally graded material (FGM) porous sandwich plate analysis model considering pores with only four variables is proposed. It is applied to the nonlinear bending of two different types of FGM porous sandwich plates under mechanical loading, and the bending of two different types of FGM porous sandwich plates is compared. The governing equations are obtained through the principle of virtual work. The simple supported FGM porous sandwich plates are solved using the Navier method. The obtained numerical results are compared with the results in the literature to verify the accuracy of the theory in this paper. Finally, the effects of volume fraction index, porosity, layer thickness ratio, side-thickness ratio and symmetry on the mechanical bending properties of FGM porous sandwich plates are studied in detail. By comparing the bending characteristics of two types of FGM porous sandwich plates under different influencing factors, it is found that the bending characteristics of different FGM porous sandwich plate types are also very different. This has great guiding significance for the design of FGM porous sandwich plates.

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Appendix
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Literature
1.
go back to reference Gao, W., Liu, Y., Qin, Z, et al.: Wave propagation in smart sandwich plates with functionally graded nanocomposite porous core and piezoelectric layers in multi-physics environment. Int. J. Appl. Mech., 2250071 (2022). Gao, W., Liu, Y., Qin, Z, et al.: Wave propagation in smart sandwich plates with functionally graded nanocomposite porous core and piezoelectric layers in multi-physics environment. Int. J. Appl. Mech., 2250071 (2022).
2.
go back to reference Zhicheng, H., Jinbo, P., Ziheng, Y., Xingguo, W., Fulei, C.: Transverse vibration of viscoelastic sandwich structures: finite element modeling and experimental study. Materials 14(24), 7751 (2021)CrossRef Zhicheng, H., Jinbo, P., Ziheng, Y., Xingguo, W., Fulei, C.: Transverse vibration of viscoelastic sandwich structures: finite element modeling and experimental study. Materials 14(24), 7751 (2021)CrossRef
3.
go back to reference Zhicheng, H., Yuhang, M., Anna, D., Mengna, H., Xingguo, W., Fulei, C.: Active vibration control of piezoelectric sandwich plates. Materials 15(11), 3907 (2022)CrossRef Zhicheng, H., Yuhang, M., Anna, D., Mengna, H., Xingguo, W., Fulei, C.: Active vibration control of piezoelectric sandwich plates. Materials 15(11), 3907 (2022)CrossRef
4.
go back to reference Mohamed, S., Bouazza, F., Abdelouahed, T., Mahmoud, S.R.: A new quasi-3D HSDT for buckling and vibration of FG plate. Struct. Eng. Mech. 64(6), 737–749 (2017). Mohamed, S., Bouazza, F., Abdelouahed, T., Mahmoud, S.R.: A new quasi-3D HSDT for buckling and vibration of FG plate. Struct. Eng. Mech. 64(6), 737–749 (2017).
5.
go back to reference Houari, M.S.A., Benyoucef, S., Mechab, I., Tounsi, A., Adda Bedia, E. A.: Two-variable refined plate theory for thermoelastic bending analysis of functionally graded sandwich plates. J. Thermal Stresses 34, 315–334 (2011). Houari, M.S.A., Benyoucef, S., Mechab, I., Tounsi, A., Adda Bedia, E. A.: Two-variable refined plate theory for thermoelastic bending analysis of functionally graded sandwich plates. J. Thermal Stresses 34, 315–334 (2011).
6.
go back to reference Abdelaziz, H.H., Atmane, H.A., Mechab, I., Boumia, L., Tounsi, A., El Abbas, A.B.: Static analysis of functionally graded sandwich plates using an efficient and simple refined theory. Chin. J. Aeronaut. 24, 434–448 (2011)CrossRef Abdelaziz, H.H., Atmane, H.A., Mechab, I., Boumia, L., Tounsi, A., El Abbas, A.B.: Static analysis of functionally graded sandwich plates using an efficient and simple refined theory. Chin. J. Aeronaut. 24, 434–448 (2011)CrossRef
7.
go back to reference Jingchuan, Z., Zhonghong, L., Zhongda, Y., Jaeho, J., Sooyoung, L.: Fabrication of ZrO2–NiCr functionally graded material by powder metallurgy. Mater. Chem. Phys. 68, 130–135 (2001)CrossRef Jingchuan, Z., Zhonghong, L., Zhongda, Y., Jaeho, J., Sooyoung, L.: Fabrication of ZrO2–NiCr functionally graded material by powder metallurgy. Mater. Chem. Phys. 68, 130–135 (2001)CrossRef
8.
go back to reference Lazreg, H., Mehmet, A.: Free vibration analysis of FG porous sandwich plates under various boundary conditions. J. Appl. Comput. Mech. 7(2), 505–519 (2021) Lazreg, H., Mehmet, A.: Free vibration analysis of FG porous sandwich plates under various boundary conditions. J. Appl. Comput. Mech. 7(2), 505–519 (2021)
9.
go back to reference Lazreg, H., Mehmet, A., Nafifissa, Z.: Natural frequency analysis of imperfect FG sandwich plates resting on Winkler-Pasternak foundation. Mater. Today Proc. 53, 153–160 (2022)CrossRef Lazreg, H., Mehmet, A., Nafifissa, Z.: Natural frequency analysis of imperfect FG sandwich plates resting on Winkler-Pasternak foundation. Mater. Today Proc. 53, 153–160 (2022)CrossRef
10.
go back to reference Tran, Q.Q., Do Thi, T.H., Nguyen, D.D.: Analytical solutions for nonlinear vibration of porous functionally graded sandwich plate subjected to blast loading. Thin-Walled Struct. 170, 108606 (2022)CrossRef Tran, Q.Q., Do Thi, T.H., Nguyen, D.D.: Analytical solutions for nonlinear vibration of porous functionally graded sandwich plate subjected to blast loading. Thin-Walled Struct. 170, 108606 (2022)CrossRef
11.
go back to reference Abhilash, K., Shashank, P., Vishesh, R.K.: Nonlinear transient analysis of porous P-FGM and S-FGM sandwich plates and shell panels under blast loading and thermal environment. Thin-Walled Struct. 173, 108985 (2022)CrossRef Abhilash, K., Shashank, P., Vishesh, R.K.: Nonlinear transient analysis of porous P-FGM and S-FGM sandwich plates and shell panels under blast loading and thermal environment. Thin-Walled Struct. 173, 108985 (2022)CrossRef
12.
go back to reference Emad, K.N., Sadeq, H.B., Muhannad, A.-W.: Analytical and numerical investigation of buckling behavior of functionally graded sandwich plate with porous core. J. Appl. Sci. Eng. 25(2), 339–347 (2021) Emad, K.N., Sadeq, H.B., Muhannad, A.-W.: Analytical and numerical investigation of buckling behavior of functionally graded sandwich plate with porous core. J. Appl. Sci. Eng. 25(2), 339–347 (2021)
14.
go back to reference Zhijiang, G., Hui, L., Jing, Z., Jialin, G., Qingshan, W.: Analyses of dynamic characteristics of functionally graded porous (FGP) sandwich plates with viscoelastic materials-filled square-celled core. Eng. Struct. 248, 113242 (2021)CrossRef Zhijiang, G., Hui, L., Jing, Z., Jialin, G., Qingshan, W.: Analyses of dynamic characteristics of functionally graded porous (FGP) sandwich plates with viscoelastic materials-filled square-celled core. Eng. Struct. 248, 113242 (2021)CrossRef
18.
go back to reference Narayan, S., Prasant Kumar, S., Dipak Kumar, M., Bhrigu, N.S.: Vibration and uncertainty analysis of functionally graded sandwich plate using layerwise theory. AIAA J. 60(6), 3402–3423 (2022)CrossRef Narayan, S., Prasant Kumar, S., Dipak Kumar, M., Bhrigu, N.S.: Vibration and uncertainty analysis of functionally graded sandwich plate using layerwise theory. AIAA J. 60(6), 3402–3423 (2022)CrossRef
19.
go back to reference Yijie, L., Shengkai, S., Huaiwei, H., Yingjing, L.: Thermal-mechanical coupling buckling analysis of porous functionally graded sandwich beams based on physical neutral plane. Compos. B Eng. 168, 236–242 (2019)CrossRef Yijie, L., Shengkai, S., Huaiwei, H., Yingjing, L.: Thermal-mechanical coupling buckling analysis of porous functionally graded sandwich beams based on physical neutral plane. Compos. B Eng. 168, 236–242 (2019)CrossRef
20.
go back to reference Pham, V.V., Le, Q.H.: Finite element analysis of functionally graded sandwich plates with porosity via a new hyperbolic shear deformation theory. Defence Technol 18, 490–508 (2022)CrossRef Pham, V.V., Le, Q.H.: Finite element analysis of functionally graded sandwich plates with porosity via a new hyperbolic shear deformation theory. Defence Technol 18, 490–508 (2022)CrossRef
21.
go back to reference Nguyen, T.G., Nguyen ,T.H.: Hygro-thermo-mechanical stability analysis of variable thickness functionally graded sandwich porous plates resting on variable elastic foundations using finite element method. J. Thermal Stresses 45(8), 641–668 (2022) Nguyen, T.G., Nguyen ,T.H.: Hygro-thermo-mechanical stability analysis of variable thickness functionally graded sandwich porous plates resting on variable elastic foundations using finite element method. J. Thermal Stresses 45(8), 641–668 (2022)
22.
go back to reference Supen, K.S., Anup, G.: Effect of porosity on the thermal buckling analysis of power and sigmoid law functionally graded material sandwich plates based on sinusoidal shear deformation theory. Int. J. Struct. Stab. Dyn. 22(5), 2250063 (2022)MathSciNetCrossRef Supen, K.S., Anup, G.: Effect of porosity on the thermal buckling analysis of power and sigmoid law functionally graded material sandwich plates based on sinusoidal shear deformation theory. Int. J. Struct. Stab. Dyn. 22(5), 2250063 (2022)MathSciNetCrossRef
23.
go back to reference Supen, K.S., Anup, G.: Influence of porosity distribution on free vibration and buckling analysis of multi-directional functionally graded sandwich plates. Compos. Struct. 279, 114795 (2022)CrossRef Supen, K.S., Anup, G.: Influence of porosity distribution on free vibration and buckling analysis of multi-directional functionally graded sandwich plates. Compos. Struct. 279, 114795 (2022)CrossRef
24.
go back to reference Swaminathan, K., Hirannaiah, S., Rajanna, T.: Vibration and stability characteristics of functionally graded sandwich plates with/without porosity subjected to localized edge loadings. Mech. Based Des. Struct. Mach., 1–39 (2022). Swaminathan, K., Hirannaiah, S., Rajanna, T.: Vibration and stability characteristics of functionally graded sandwich plates with/without porosity subjected to localized edge loadings. Mech. Based Des. Struct. Mach., 1–39 (2022).
25.
go back to reference Lazreg, H., Abdelouahed, T.: Static deflections and stress distribution of functionally graded sandwich plates with porosity. Smart Struct. Syst. 28(3), 343–354 (2021) Lazreg, H., Abdelouahed, T.: Static deflections and stress distribution of functionally graded sandwich plates with porosity. Smart Struct. Syst. 28(3), 343–354 (2021)
26.
go back to reference Slimane, M., Adda, H.M.: Influence of porosity on the analysis of sandwich plates FGM using of high order shear-deformation theory. Frattura ed Integrità Strutturale, 14(51), 199–214 (2020). Slimane, M., Adda, H.M.: Influence of porosity on the analysis of sandwich plates FGM using of high order shear-deformation theory. Frattura ed Integrità Strutturale, 14(51), 199–214 (2020).
27.
go back to reference Mohamed, S., Lazreg, H., Abdelouahed, T.: Effect of porosity on the free vibration analysis of various functionally graded sandwich plates. Adv. Mater. Res. 10(4), 293–311 (2021) Mohamed, S., Lazreg, H., Abdelouahed, T.: Effect of porosity on the free vibration analysis of various functionally graded sandwich plates. Adv. Mater. Res. 10(4), 293–311 (2021)
28.
go back to reference Ahmed, A.D., Ashraf, M.Z.: Effect of porosity on the bending analysis of various functionally graded sandwich plates. Mater. Res. Express. 6(6), 065703 (2019)CrossRef Ahmed, A.D., Ashraf, M.Z.: Effect of porosity on the bending analysis of various functionally graded sandwich plates. Mater. Res. Express. 6(6), 065703 (2019)CrossRef
29.
go back to reference Ahmed, A.D., Ashraf, M.Z.: Free vibration and buckling of porous power-law and sigmoid functionally graded sandwich plates using a simple higher-order shear deformation theory. Mater. Res. Express. 6(11):115707 (2019). Ahmed, A.D., Ashraf, M.Z.: Free vibration and buckling of porous power-law and sigmoid functionally graded sandwich plates using a simple higher-order shear deformation theory. Mater. Res. Express. 6(11):115707 (2019).
30.
go back to reference Singh, S.J., Harsha, S.P.: Thermo-mechanical analysis of porous sandwich S-FGM plate for different boundary conditions using Galerkin Vlasov’s method: a semi-analytical approach. Thin-Walled Struct. 150, 106668 (2020)CrossRef Singh, S.J., Harsha, S.P.: Thermo-mechanical analysis of porous sandwich S-FGM plate for different boundary conditions using Galerkin Vlasov’s method: a semi-analytical approach. Thin-Walled Struct. 150, 106668 (2020)CrossRef
31.
go back to reference Singh, S.J., Harsha, S.P.: Thermal buckling of porous symmetric and non-symmetric sandwich plate with homogenous core and S-FGM face sheets resting on Pasternak foundation. Int. J. Mech. Mater. Des. 16(4), 707–731 (2020)CrossRef Singh, S.J., Harsha, S.P.: Thermal buckling of porous symmetric and non-symmetric sandwich plate with homogenous core and S-FGM face sheets resting on Pasternak foundation. Int. J. Mech. Mater. Des. 16(4), 707–731 (2020)CrossRef
32.
go back to reference Nuttawit, W., Variddhi, U.: Linear and nonlinear vibration analysis of elastically restrained ends FGM beams with porosities. Aerosp. Sci. Technol. 32(1), 111–120 (2014)CrossRef Nuttawit, W., Variddhi, U.: Linear and nonlinear vibration analysis of elastically restrained ends FGM beams with porosities. Aerosp. Sci. Technol. 32(1), 111–120 (2014)CrossRef
33.
go back to reference Ashraf, M.Z.: A quasi-3D refined theory for functionally graded single-layered and sandwich plates with porosities. Compos. Struct. 201, 38–48 (2018)CrossRef Ashraf, M.Z.: A quasi-3D refined theory for functionally graded single-layered and sandwich plates with porosities. Compos. Struct. 201, 38–48 (2018)CrossRef
34.
go back to reference Slimane, M., Abdelouahed, T., Mohammed, S.A.H., Ismail, M., Habib, H., Samir, B.: Two new refifined shear displacement models for functionally graded sandwich plates. Arch. Appl. Mech. 81, 1507–1522 (2011)CrossRefMATH Slimane, M., Abdelouahed, T., Mohammed, S.A.H., Ismail, M., Habib, H., Samir, B.: Two new refifined shear displacement models for functionally graded sandwich plates. Arch. Appl. Mech. 81, 1507–1522 (2011)CrossRefMATH
35.
go back to reference Reissner, E.: On transverse bending of plates, including the effect of transverse shear deformation. Int. J. Solids Struct. 11(5), 569–573 (1974)CrossRefMATH Reissner, E.: On transverse bending of plates, including the effect of transverse shear deformation. Int. J. Solids Struct. 11(5), 569–573 (1974)CrossRefMATH
36.
go back to reference Reddy, J.N.: A simple higher-order theory for laminated composite plates. J. Appl. Mech. 51(4), 745–752 (1984)CrossRefMATH Reddy, J.N.: A simple higher-order theory for laminated composite plates. J. Appl. Mech. 51(4), 745–752 (1984)CrossRefMATH
37.
go back to reference Touratier, M.: An efficient standard plate theory. Int. J. Eng. Sci. 29(8), 901–916 (1991)CrossRefMATH Touratier, M.: An efficient standard plate theory. Int. J. Eng. Sci. 29(8), 901–916 (1991)CrossRefMATH
Metadata
Title
Bending analysis of two different types of functionally graded material porous sandwich plates
Authors
Zhicheng Huang
Mengna Han
Xingguo Wang
Fulei Chu
Publication date
03-05-2023
Publisher
Springer Berlin Heidelberg
Published in
Archive of Applied Mechanics / Issue 8/2023
Print ISSN: 0939-1533
Electronic ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-023-02425-0

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