Abstract
A unified higher-order shear deformation microplate model for free vibration analysis of functionally graded sandwich materials with porosities is proposed in this paper. The theory is developed from a general higher-order shear deformation framework and modified couple stress theory to capture the size effects. The displacements are approximated by bi-directional series of hybrid shape functions, then characteristic equations of motion are obtained by Lagrange’s equations. Numerical results are presented for different configurations of material distribution, side-to-thickness ratio, size-scale-thickness ratio and boundary conditions on natural frequencies of functionally graded porous sandwich microplates.
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References
Daikh, A.A., Zenkour, A.: 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, 115707 (2019)
Van Vinh, P., Huy, L.Q.: Finite element analysis of functionally graded sandwich plates with porosity via a new hyperbolic shear deformation theory. Defence Technol. (2021)
Quan, T.Q., Ha, D.T.T., Duc, N.D.: Analytical solutions for nonlinear vibration of porous functionally graded sandwich plate subjected to blast loading. Thin-Walled Struct. 170, 108606 Jan 01 (2022)
Zhang, Y., Jin, G., Chen, M., Ye, T., Yang, C., Yin, Y.: Free vibration and damping analysis of porous functionally graded sandwich plates with a viscoelastic core. Compos. Struct. 244, 112298 (2020)
Tahir, S.I., Chikh, A., Tounsi, A., Al-Osta, M.A., Al-Dulaijan, S.U., Al-Zahrani, M.M.: Wave propagation analysis of a ceramic-metal functionally graded sandwich plate with different porosity distributions in a hygro-thermal environment. Compos. Struct. 269, 114030 (2021)
Kumar Sah, S., Ghosh, A.: Influence of porosity distribution on free vibration and buckling analysis of multi-directional functionally graded sandwich plates. Compos. Struct. 279, 114795 (2022)
Thai Hoang, C., Ferreira, A., Lee, J., Nguyen-Xuan, H.: An efficient size-dependent computational approach for functionally graded isotropic and sandwich microplates based on modified couple stress theory and moving Kriging-based meshfree method. Int. J. Mech. Sci. 142, (2018)
Phung-Van, P., Ferreira, A.J.M., Thai, C.H.: Computational optimization for porosity-dependent isogeometric analysis of functionally graded sandwich nanoplates. Compos. Struct. 239, 112029 (2020)
Nguyen, T.-K., Thai, H.-T., Vo, T.P.: A novel general higher-order shear deformation theory for static, vibration and thermal buckling analysis of the functionally graded plates. J. Thermal Stress. 44(3), 377–394 (2021)
Thanh, C.-L., Tran, L.V., Bui, T.Q., Nguyen, H.X., Abdel-Wahab, M.: Isogeometric analysis for size-dependent nonlinear thermal stability of porous FG microplates. Compos. Struct. 221, 110838 (2019)
Li, Q., Iu, V.P., Kou, K.P.: Three-dimensional vibration analysis of functionally graded material sandwich plates. J. Sound Vibr. 311(1), 498–515 (2008)
Yang, F., Chong, A.C.M., Lam, D.C.C., Tong, P.: Couple stress based strain gradient theory for elasticity. Int. J. Solids Struct. 39, 2731–2743 (2002)
Nguyen, T.-K., Truong-Phong Nguyen, T., Vo, T.P., Thai, H.-T.: Vibration and buckling analysis of functionally graded sandwich beams by a new higher-order shear deformation theory. Compos. Part B: Eng. 76, 273–285 (2015)
Nguyen, T.-K., Vo, T.P., Nguyen, B.-D., Lee, J.: An analytical solution for buckling and vibration analysis of functionally graded sandwich beams using a quasi-3D shear deformation theory. Compos. Struct. 156, 238–252 (2016)
Thai, C.H., Kulasegaram, S., Tran, L.V., Nguyen-Xuan, H.: Generalized shear deformation theory for functionally graded isotropic and sandwich plates based on isogeometric approach. Comput. Struct. 141, 94–112 (2014)
Thai, C.H., Zenkour, A.M., Abdel Wahab, M., Nguyen-Xuan, H.: A simple four-unknown shear and normal deformations theory for functionally graded isotropic and sandwich plates based on isogeometric analysis. Compos. Struct. 139, 77–95 (2016)
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Tran, VT., Nguyen, TK., Nguyen, VH. (2023). An Efficient Size-Dependent Computational Approach for Functionally Graded Porous Sandwich Microplates Based on Modified Couple Stress Theory. In: Huang, YP., Wang, WJ., Quoc, H.A., Le, HG., Quach, HN. (eds) Computational Intelligence Methods for Green Technology and Sustainable Development. GTSD 2022. Lecture Notes in Networks and Systems, vol 567. Springer, Cham. https://doi.org/10.1007/978-3-031-19694-2_8
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DOI: https://doi.org/10.1007/978-3-031-19694-2_8
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