Abstract
In this contribution, we are interested in the analysis of the mechanical behavior of the bending of functionally graded material (FGM) sandwich plates using a new refined hyperbolic plate theory (RHPT) with four variables. Sandwich plates with functionally graded faces and both homogeneous soft and hard cores are considered. The presented theory is variational, it does not require a shear correction factor, and gives a parabolic description of the shear stresses through the thickness while satisfying the condition of zero shear stress on the free edges. The number of unknown functions for the present theory is only four, while five or more in the case of the other shear deformation theories.
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References
Abdelmalek A, Bouazza M, Zidour M et al (2019) Hygrothermal effects on the free vibration behavior of composite plate using nth-order shear deformation theory: a micromechanical approach. Iran J Sci Technol Trans Mech Eng 43(Suppl 1):61–73. https://doi.org/10.1007/s40997-017-0140-y
Alazwari MA, Daikh AA, Houari MSA, Tounsi A, Eltaher MA (2021) On static buckling of multilayered carbon nanotubes reinforced composite nanobeams supported on non-linear elastic foundations. Steel and Compos Struct an Int J 40(3):389–404
Amara K, Youb O, Bouazza M, Tounsi A, ElA AB (2014) Influence of temperature change on column buckling of double walled carbon nanotubes using different theories. Energy Procedia 50:634–641. https://doi.org/10.1016/j.egypro.2014.06.078
Arefi M, Pourjamshidian M, Ghorbanpour AA (2018) Nonlinear free and forced vibration analysis of embedded functionally graded sandwich micro beam with moving mass. J Sandwich Struct Mater 20(4):462–492. https://doi.org/10.1177/1099636216658895
Belabed Z, Bousahla AA, Houari MSA, Tounsi A, Mahmoud SR (2018) A new 3-unknown hyperbolic shear deformation theory for vibration of functionally graded sandwich plate. Earthq Struct 14(2):103–115
Belarbi MO, Houari MSA, Hirane H, Daikh AA, Bordas SPA (2022) On the finite element analysis of functionally graded sandwich curved beams via a new refined higher order shear deformation theory. Compos Struct 279:114715
Bouazza M, Benseddiq N (2015) Analytical modeling for the thermoelastic buckling behavior of functionally graded rectangular plates using hyperbolic shear deformation theory under thermal loadings. Multidiscip Model Mater Struct 11(4):558–578. https://doi.org/10.1108/MMMS-02-2015-0008
Bouazza M, Boucheta A, Becheri T, Benseddiq N (2017) Thermal stability analysis of functionally graded plates using simple refined plate theory. Int. J. Automot. Mech. Eng. 14(1):4013–4029. https://doi.org/10.15282/ijame.14.1.2017.15.0325
Bouazza M, Antar K, Amara K, Benyoucef S, Bedia E (2019a) Influence of temperature on the beams behavior strengthened by bonded composite plates. Geomech. Eng. 18(5):555–566. https://doi.org/10.12989/GAE.2019.18.5.555
Bouazza M, Becheri T, Boucheta A, Benseddiq N (2019b) Bending behavior of laminated composite plates using the refined four-variable theory and the finite element method. Earthq. Struct. 17(3):257–270. https://doi.org/10.12989/eas.2019.17.3.257
Bouazza M, Zenkour AM (2018) Free vibration characteristics of multilayered composite plates in a hygrothermal environment via the refined hyperbolic theory. Eur Phys J plus 133:217. https://doi.org/10.1140/epjp/i2018-12050-x
Boucheta A, Bouazza M, Becheri T, Benseddiq N (2016) Hyperbolic four variable refined shear deformation theory for mechanical buckling analysis of functionally graded plates. U.P.B. Sci. Bull. Ser. D 78(4):65–78
Bourada F, Bousahla AA, Bourada M, Azzaz A, Zinata A, Tounsi A (2019) Dynamic investigation of porous functionally graded beam using a sinusoidal shear deformation theory. Wind and Struct 28(1):19–30. https://doi.org/10.12989/was.2019.28.1.019
Chu TB, Tran HQ, Nguyen VL et al (2023) Free vibration analysis of functionally graded sandwich circular cylindrical shells with auxetic honeycomb core layer and partially filled with liquid. Iran J Sci Technol Trans Mech Eng. https://doi.org/10.1007/s40997-023-00712-3
Daikh AA, Drai A, Houari MSA, Eltaher MA (2020) Static analysis of multilayer nonlocal strain gradient nanobeam reinforced by carbon nanotubes. Steel and Compos Struct an Int J 36(6):643–656
Daikh AA, Drai A, Bensaid I, Houari MSA, Tounsi A (2021) On vibration of functionally graded sandwich nanoplates in the thermal environment. J Sandwich Struct Mater 23(6):2217–2244
Daikh AA, Houari MSA, Belarbi MO, Chakraverty S, Eltaher MA (2022) Analysis of axially temperature-dependent functionally graded carbon nanotube reinforced composite plates. Eng Comput 38(Suppl 3):2533–2554
Daikh AA, Belarbi MO, Ahmed D, Houari MSA, Avcar M, Tounsi A, Eltaher MA (2023) Static analysis of functionally graded plate structures resting on variable elastic foundation under various boundary conditions. Acta Mech 234(2):775–806
Derbale A, Bouazza M, Benseddiq N (2021) Analysis of the mechanical and thermal buckling of laminated beams by new refined shear deformation theory. Iran J Sci Technol Trans Civ Eng 45:89–98. https://doi.org/10.1007/s40996-020-00417-6
Ebrahimi F, Farazmandnia N (2018) Thermal buckling analysis of functionally graded carbon nanotube-reinforced composite sandwich beams. Steel Compos Struct 27(2):149–159. https://doi.org/10.12989/SCS.2018.27.2.149
Ellali M, Bouazza M, Zenkour AM (2022a) Impact of micromechanical approaches on wave propagation of FG plates via indeterminate integral variables with a hyperbolic secant shear model. Int J Comput Meth 19(9):2250019. https://doi.org/10.1142/S0219876222500190
Ellali M, Bouazza M, Amara K (2022b) Thermal buckling of a sandwich beam attached with piezoelectric layers via the shear deformation theory. Arch Appl Mech 92:657–665. https://doi.org/10.1007/s00419-021-02094-x
Ellali M, Amara K, Bouazza M, Bourada F (2018) The buckling of piezoelectric plates on pasternak elastic foundation using higher-order shear deformation plate theories. Smart Struct Syst 21(1):113–122. https://doi.org/10.12989/sss.2018.21.1.113
Ellali M, Bouazza M, Zenkour AM (2023) Wave propagation of FGM plate via new integral inverse cotangential shear model with temperature-dependent material properties. Geomech. Eng. 33(5):427–437. https://doi.org/10.12989/gae.2023.33.5.4217
Eltaher MA, Attia MA, Soliman AE, Alshorbagy AE (2018) Analysis of crack occurs under unsteady pressure and temperature in a natural gas facility by applying FGM. Struct Eng Mech 66(1):97–111. https://doi.org/10.12989/sem.2018.66.1.097
Esen I, Alazwari MA, Eltaher MA, Abdelrahman AA (2022) Dynamic response of FG porous nanobeams subjected thermal and magnetic fields under moving load. Steel Compos Struct 42(6):805–826. https://doi.org/10.12989/SCS.2022.42.6.805
Eyvazian A, Hamouda AM, Tarlochan F, Mohsenizadeh S, Dastjerdi AA (2019) Damping and vibration response of viscoelastic smart sandwich plate reinforced with non-uniform graphene platelet with magnetorheological fluid core. Steel Compos Struct 33:891–906. https://doi.org/10.12989/scs.2019.33.6.891
Ghazwani MH (2023) A novel nth-order shear deformation theory for the bending and free vibration analysis of Bi-functionally graded sandwich plates. Iran J Sci Technol Trans Civ Eng. https://doi.org/10.1007/s40996-023-01162-2
Hachemi H, Bousahla AA, Kaci A, Bourada F, Tounsi A, Benrahou KH, Tounsi A, Al-Zahrani MM, Mahmoud SR (2021) Bending analysis of functionally graded plates using a new refined quasi-3D shear deformation theory and the concept of the neutral surface position. Steel Compos Struct 39(1):51–64. https://doi.org/10.12989/scs.2021.39.1.051
Hellal H, Bourada M, Hebali H et al (2021) Dynamic and stability analysis of functionally graded material sandwich plates in hygro-thermal environment using a simple higher shear deformation theory. J Sandwich Struct Mater 23(3):814–851. https://doi.org/10.1177/1099636219845841
Houari MSA, Bessaim A, Bernard F, Tounsi A, Mahmoud SR (2018) Buckling analysis of new quasi-3D FG nanobeams based on nonlocal strain gradient elasticity theory and variable length scale parameter. Steel and Composite Structures, an International Journal 28(1):13–24
Kolahchi R, Keshtegar B, Trung N-T (2022) Optimization of dynamic properties for laminated multiphase nanocomposite sandwich conical shell in thermal and magnetic conditions. J Sandwich Struct Mater 24(1):643–662. https://doi.org/10.1177/10996362211020388
Kumar Y, Gupta A, Tounsi A (2021) Size-dependent vibration response of porous graded nanostructure with FEM and nonlocal continuum model. Adv Nano Res 11(1):1–17. https://doi.org/10.12989/anr.2021.11.1.001
Matsunaga H (2009) Stress analysis of functionally graded plates subjected to thermal and mechanical loadings. Compos Struct 87(4):344–357. https://doi.org/10.1016/j.compstruct.2008.02.002
Mohtashami M, Beni YT (2019) Size-Dependent buckling and vibrations of piezoelectric nanobeam with finite element method. Iran J Sci Technol Trans Civ Eng 43:563–576. https://doi.org/10.1007/s40996-018-00229-9
Oyelade AO, Ikhile OG, Oyediran AA (2022) Stability and dynamics of a slightly curved viscoelastic pipe resting on linear and nonlinear viscoelastic foundation. Iran J Sci Technol Trans Civ Eng 46:1329–1343. https://doi.org/10.1007/s40996-021-00707-7
Sahoo SS, Panda SK, Mahapatra TR et al (2019) Numerical analysis of transient responses of delaminated layered structure using different mid-plane theories and experimental validation. Iran J Sci Technol Trans Mech Eng 43:41–56. https://doi.org/10.1007/s40997-017-0111-3
Shimpi RP, Guruprasad PJ, Pakhare KS (2020) A Three-variable geometrically nonlinear new first-order shear deformation theory for isotropic plates: formulation and buckling analysis. Iran J Sci Technol Trans Civ Eng 44(Suppl 1):299–317. https://doi.org/10.1007/s40996-020-00384-y
Sobhy M (2021) Differential quadrature method for magneto-hygrothermal bending of functionally graded graphene/Al sandwich-curved beams with honeycomb core via a new higher-order theory. J Sandwich Struct Mater 23(5):1662–1700. https://doi.org/10.1177/1099636219900668
Thai H-T, Kim SE (2013) A simple higher-order shear deformation theory for bending and free vibration analysis of functionally graded plates’. Compos Struct 96:165–173. https://doi.org/10.1016/j.compstruct.2012.08.025
Thi Phuong N, Hoai Nam V, Thuy DD (2020) Nonlinear vibration of functionally graded sandwich shallow spherical caps resting on elastic foundations by using first-order shear deformation theory in thermal environment. J Sandwich Struct Mater 22(4):1157–1183. https://doi.org/10.1177/1099636218782645
Tian Y, Cao D, Chen C, Zhang X (2023) Vibration isolation performance of a rectangular panel with highstatic-low-dynamic stiffness supports. Appl Math Model 119:218–238. https://doi.org/10.1016/j.apm.2023.02.027
Wang Y, Wu W, Wang Z, Lou X, Görges D (2022) Robust boundary control approaches to the stabilization of the Euler-Bernoulli beam under external disturbances. J Vib Control. https://doi.org/10.1177/10775463221129141
Yaylacı M, Eyüboğlu A, Adıyaman G, Uzun Yaylacı E, Öner E, Birinci A (2021) Assessment of different solution methods for receding contact problems in functionally graded layered mediums. Mech Mater. https://doi.org/10.1016/j.mechmat.2020.103730
Zenkour AM (2005) A comprehensive analysis of functionally graded sandwich plates: part 1 déflection and stresses. Int J Solids Struct 42(2005):5224–5242. https://doi.org/10.1016/j.ijsolstr.2005.02.015
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Boucheta, A., Bouazza, M., Becheri, T. et al. Bending of Sandwich FGM Plates with a Homogeneous Core Either Hard or Soft Via a Refined Hyperbolic Shear Deformation Plate Theory. Iran J Sci Technol Trans Civ Eng (2024). https://doi.org/10.1007/s40996-024-01386-w
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DOI: https://doi.org/10.1007/s40996-024-01386-w