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Influence of microstructural defects on vibration characteristics of sandwich double FGM layer under mixed boundary conditions

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Abstract

The influence of porosity inclusion and geometric imperfections on the vibrational frequency of sandwich functionally graded material (SFGM) plates under conventional and unconventional boundary conditions has been investigated in this article. The generalised governing equations for free vibration are formulated for the SFGM plates based on the Lagrangian approach using power law distribution. The non-polynomial higher-order shear deformation theory (HSDT) is employed for the vibration analysis of SFGM plate structure. A new porosity modal function has been used for SFGM plate analysis, and microstructural imperfections are incorporated as porosity inclusions. The various geometric imperfections are modelled using the generic function. Convergence and validation have been carried out and results are validated with the literatures. The influence of volume fraction exponent, porosity volume fractions, geometric imperfections, even, mixed, and uneven porosity distribution on the vibrational frequency of SFGM plates under the unconventional boundary conditions have been investigated. The current findings are achieved based on the Lagrangian approach using finite element method (FEM) with four-nodes and seven-degrees of freedom (DOF) per node. The mentioned influences have a significant impact on the vibrational characteristics of the SFGM plates with double FGM layer under the various boundary conditions using higher-order shear deformation theory (HSDT).

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The datasets generated and analyzed during the current study are available from the corresponding author upon reasonable request.

References

  1. Abdelaziz, H.H., Meziane, M.A.A., Bousahla, A.A., Tounsi, A., Mahmoud, S.R., Alwabli, A.S.: An efficient hyperbolic shear deformation theory for bending, buckling and free vibration of FGM sand wich plates with various boundary conditions. Steel Compos. Struct. 25(6), 693–704 (2017). https://doi.org/10.12989/scs.2017.25.6.693

    Article  Google Scholar 

  2. Bansal, G., Gupta, A., Katiyar, V.: Influence of geometric discontinuities and geometric/microstructural defects on the temperature-dependent vibration response of functionally graded plates on elastic foundation. J. Braz. Soc. Mech. Sci. Eng. (2020). https://doi.org/10.1007/s40430-020-02619-5

    Article  Google Scholar 

  3. Daikh, A.A., Zenkour, A.M.: 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 (2019). https://doi.org/10.1088/2053-1591/ab48a9

    Article  Google Scholar 

  4. Gupta, A., Talha, M.: Recent development in modeling and analysis of functionally graded materials and structures. Prog. Aerosp. Sci. 79, 1–14 (2015). https://doi.org/10.1016/j.paerosci.2015.07.001

    Article  Google Scholar 

  5. Kitipornchai, S., Yang, J., Liew, K.M.: Semi-analytical solution for nonlinear vibration of laminated FGM plates with geometric imperfections. Int. J. Solids Struct. 41(9–10), 2235–2257 (2004). https://doi.org/10.1016/j.ijsolstr.2003.12.019

    Article  Google Scholar 

  6. Koizumi, M.: FGM activities in Japan. Compos. Part B Eng. 28(1), 1–4 (1997). https://doi.org/10.1016/S1359-8368(96)00016-9

    Article  Google Scholar 

  7. Li, D., Deng, Z., Chen, G.: Free vibration of functionally graded sandwich plates in thermal environment. Int. J. Mech. Syst. Dyn. 51(2022), 55–66 (2022). https://doi.org/10.1016/j.euromechsol.2014.12.001

    Article  Google Scholar 

  8. Loja, M.A.R., Mota, A.F.: Mechanical behavior of porous functionally graded nanocomposite materials. Chem. Process. Ceram. (2005). https://doi.org/10.1023/A:1027345408360

    Article  Google Scholar 

  9. Nguyen, K.T., Thai, T.H., Vo, T.P.: A refined higher-order shear deformation theory for bending, vibration and buckling analysis of functionally graded sandwich plates. Steel Compos. Struct. 18(1), 91–120 (2015). https://doi.org/10.12989/scs.2015.18.1.091

    Article  Google Scholar 

  10. Nguyen, T.K., Sab, K., Bonnet, G.: First-order shear deformation plate models for functionally graded materials. Compos. Struct. 83(1), 25–36 (2008). https://doi.org/10.1016/j.compstruct.2007.03.004

    Article  Google Scholar 

  11. Reddy, J.N.: Analysis of functionally graded plates. Int. SAMPE Tech. Conf. 684(1999), 663–684 (2010)

    Google Scholar 

  12. Sarangan, S., Singh, B.N.: Higher-.ries. Compos. Struct. 138, 391–403 (2016). https://doi.org/10.1016/j.compstruct.2015.11.049

    Article  Google Scholar 

  13. Singh, D., Gupta, A.: Influence of geometric imperfections on the free vibrational response of the functionally graded material sandwich plates with circular cut-outs. Mater. Today Proc. (2022). https://doi.org/10.1016/j.matpr.2022.02.187

    Article  Google Scholar 

  14. Singh, D., Krishna, V., Vemulapalli, P., Gupta, A.: Influence of circular cutouts and elastic foundation on vibration characteristics of porous sandwich FGM plates under hygro-thermal environments. Mech. Based Des. Struct. Mach. (2022). https://doi.org/10.1080/15397734.2022.2140164

    Article  Google Scholar 

  15. 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. Eur. J. Mech. A/Solids 45, 211–225 (2014). https://doi.org/10.1016/j.euromechsol.2013.12.008

    Article  MathSciNet  Google Scholar 

  16. Tomar, S.S., Talha, M.: Influence of material uncertainties on vibration and bending behaviour of skewed sandwich FGM plates. Compos. Part B Eng. 163(2018), 779–793 (2019). https://doi.org/10.1016/j.compositesb.2019.01.035

    Article  Google Scholar 

  17. Zenkour, A.M.: A comprehensive analysis of functionally graded sandwich plates: part 2-buckling and free vibration. Int. J. Solids Struct. 42(18–19), 5243–5258 (2005). https://doi.org/10.1016/j.ijsolstr.2005.02.016

    Article  Google Scholar 

  18. Zhang, Y., **, G., Chen, M., Ye, T., Yang, C., Yin, Y.: Free vibration and dam** analysis of porous functionally graded sandwich plates with a viscoelastic core. Compos. Struct. 244(March), 112298 (2020). https://doi.org/10.1016/j.compstruct.2020.112298

    Article  Google Scholar 

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Authors and Affiliations

  1. School of Engineering, Shiv Nadar Institution of Eminence (IoE) Deemed to be University, Gautam Buddha Nagar, Delhi NCR, Uttar Pradesh, 201314, India

    Dheer Singh & Ankit Gupta

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  1. Dheer Singh
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  2. Ankit Gupta
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Correspondence to Ankit Gupta.

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Singh, D., Gupta, A. Influence of microstructural defects on vibration characteristics of sandwich double FGM layer under mixed boundary conditions. Int J Interact Des Manuf (2024). https://doi.org/10.1007/s12008-023-01703-z

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