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Transient responses of laminated composite plates

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Abstract

This article deals with transient responses in terms of displacement and stresses in composite plates. Eight-node isoparametric elements with five degrees of freedom at each node are used to model the plate. First order shear deformation theory (FSDT) with proper shear correction factor is considered to simulate the strain parameters of the plate. The time history responses of the composite plates with both symmetric and anti-symmetric ply layers against different sinusoidal excitation of different excitation frequencies is computed. The effect of different boundary conditions, ply orientation, plan dimension and plate thickness are studied rigorously. Contour plot for normal stress, inplane shear stress and transverse shear stress is plotted for varying ply orientations and boundary conditions for each ply layer. Comparative studies of various stress contours across different layers in a lamina for similar loading or boundary conditions are also presented. A suggestive guideline for design engineers is also provided in terms of stress contour plot for most suitable ply angle and orientation of a composite plate.

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References

  • Ansari, R., Shojaei, M. F., Mohammadi, V., Gholami, R., & Sadeghi, F. (2014). Nonlinear forced vibration analysis of functionally graded carbon nanotube-reinforced composite Timoshenko beams. Composite Structures. https://doi.org/10.1016/j.compstruct.2014.03.015.

    Article  Google Scholar 

  • Chattopadhyay, B., Sinha, P. K., & Mukhopadhyay, M. (1992). Finite element free vibration analysis of eccentrically stiffened composite plates. Journal of Reinforced Plastics and Composites. https://doi.org/10.1177/073168449201100903.

    Article  Google Scholar 

  • Chen, J., Dawe, D. J., & Wang, S. (2000). Nonlinear transient analysis of rectangular composite laminated plates. Composite Structures, 49(2), 129–139.

    Article  Google Scholar 

  • Dutta, S. K., Ju, T. H., Bratton, R. L., & Shah, A. H. (1992). Transient response of a laminated composite plate: Results from homogenization and discretization. International Journal of Solids and Structures. https://doi.org/10.1016/0020-7683(92)90164-O.

    Article  MATH  Google Scholar 

  • Gargano, A., Das, R., & Mouritz, A. P. (2019). Finite element modelling of the explosive blast response of carbon fibre-polymer laminates. Composites: Part B. https://doi.org/10.1016/j.compositesb.2019.107412.

    Article  Google Scholar 

  • Harras, B., Benamar, R., & White, R. G. (2002). Geometrically non-linear free vibration of fully clamped symmetrically laminated rectangular composite plates. Journal of Sound and Vibration, 251(4), 579–619.

    Article  Google Scholar 

  • Huang, X., Kwon, O., Bentz, E., & Tcherner, J. (2018). Method for evaluation of concrete containment structure subjected to earthquake excitation and internal pressure increase. Earthquake Engineering and Structural Dynamics, 47(6), 1544–1565.

    Article  Google Scholar 

  • Hyt, W., & Chang, F. K. (1989). Transient dynamic analysis of laminated composite plates subjected to transverse impact. Computers and Structures, 31(3), 453–466.

    Article  Google Scholar 

  • Ju, F., Lee, H. P., & Lee, K. H. (1995). Finite element analysis of free vibration of delaminated composite plates. Composites Engineering, 5(2), 195–209.

    Article  Google Scholar 

  • Kant, T., Ravichandran, R. V., Pandya, B. N., & Mallikarjuna, B. N. (1988). Finite element transient dynamic analysis of isotropic and fibre reinforced composite plates using a higher order theory. Composite Structures, 9(4), 319–342.

    Article  Google Scholar 

  • Khalili, S. M. R., Shokufar, A., Ghasemi, F. A., & Malekzadeh, K. (2007). Dynamic response of smart hybrid composite plate subjected to low-velocity impact. Journal of Composite Materials. https://doi.org/10.1177/0021998307075453.

    Article  Google Scholar 

  • Lee, W. H., & Han, S. C. (2006). Free and forced vibration analysis of laminated composite plates and shells using a 9-node assumed strain shell element. Computational Mechanics, 39(1), 41–58.

    Article  MathSciNet  MATH  Google Scholar 

  • Lee, S. J., Reddy, J. N., & Rostam-Abadi, F. (2004). Transient analysis of laminated composite plates with embedded smart-material layers. Finite Elements in Analysis and Design, 40(5–6), 463–483.

    Article  Google Scholar 

  • Mandal, K. K., & Maity, D. (2016). Seismic response of aged concrete dam considering interaction of dam and reservoir in coupled way. Asian Journal of Civil Engineering (BHRC), 17(5), 571–592.

    Google Scholar 

  • Mandal, A., Ray, C., & Haldar, S. (2019). Experimental and numerical free vibration analysis of laminated composite plates with arbitrary cut-outs. Journal of The Institution of Engineers (India): Series C. https://doi.org/10.1007/s40032-019-00537-7.

    Article  Google Scholar 

  • Matsunaga, H. (2001). Vibration and stability of angle-ply laminated composite plates subjected to in-plane stresses. International Journal of Mechanical Sciences, 43(8), 1925–1944.

    Article  MATH  Google Scholar 

  • Mishra, I., & Sahu, S. K. (2015). Modal analysis of woven fiber composite plates with different boundary conditions. International Journal of Structural Stability and Dynamics. https://doi.org/10.1142/S0219455415400015.

    Article  Google Scholar 

  • Mohanty, J., Sahu, S. K., & Parhi, P. K. (2012). Numerical and experimental study on free vibration of delaminated woven fiber glass/epoxy composite plates. International Journal of Structural Stability and Dynamics. https://doi.org/10.1142/S0219455412500083.

    Article  Google Scholar 

  • Mukhopadhyay, M. (2005). Mechanics of composite materials and structures. New Delhi: Universities Press.

    Google Scholar 

  • Murugesan, N., & Rajamohan, V. (2017). Prediction of progressive ply failure of laminated composite structures: A review. Archives of Computational Methods in Engineering, 24(4), 841–853.

    Article  MathSciNet  MATH  Google Scholar 

  • Namdar, O., & Darendeliler, H. (2017). Buckling, postbuckling and progressive failure analyses of composite laminated plates under compressive loading. Composites: Part B, 120, 143–151.

    Article  Google Scholar 

  • Nguyen, T. N., Ngo, T. D., & Nguyen-Xuan, H. (2017). A novel three-variable shear deformation plate formulation: Theory and isogeometric implementation. Computer Methods in Applied Mechanics and Engineering. https://doi.org/10.1016/j.cma.2017.07.024.

    Article  MathSciNet  MATH  Google Scholar 

  • Nguyen-Xuan, H., Chau, K. N., & Chau, K. N. (2019). Polytopal composite finite elements. Computer Methods in Applied Mechanics and Engineering. https://doi.org/10.1016/j.cma.2019.06.030.

    Article  MathSciNet  MATH  Google Scholar 

  • Panda, H. S., Sahu, S. K., & Parhi, P. K. (2013). Hygrothermal effects on free vibration of delaminated woven fiber composite plates—numerical and experimental results. Composite Structures. https://doi.org/10.1016/j.compstruct.2012.08.057.

    Article  Google Scholar 

  • Parhi, P. K., Bhattacharyya, S. K., & Sinha, P. K. (2001). Hygrothermal effects on the dynamic behaviour of multiple delaminated composite plates and shells. Journal of Sound and Vibration, 248(2), 195–214.

    Article  Google Scholar 

  • Pnevmatikos, N. G., & Hatzigeorgiou, G. D. (2017). Damage detection of framed structures subjected to earthquake excitation using discrete wavelet analysis. Bulletin of Earthquake Engineering, 15(1), 227–248.

    Article  Google Scholar 

  • Prusty, B. G. (2008). Free vibration and buckling response of hat-stiffened composite panels under general loading. International Journal of Mechanical Sciences. https://doi.org/10.1016/j.ijmecsci.2008.03.003.

    Article  MATH  Google Scholar 

  • Rath, M. K., & Sahu, S. K. (2012). Vibration of woven fiber laminated composite plates in hygrothermal environment. Journal of Vibration and Control. https://doi.org/10.1177/1077546311428638.

    Article  Google Scholar 

  • Reddy, J. N. (1979). Free vibration of antisymmetric, angle-ply laminated plates including transverse shear deformation by the finite element method. Journal of Sound and Vibration, 66(4), 565–576.

    Article  MATH  Google Scholar 

  • Reddy, J. N. (1983). Geometrically nonlinear transient analysis of laminated composite plates. AIAA Journal, 21(4), 621–629.

    Article  MATH  Google Scholar 

  • Reddy, J. N. (2004). Mechanics of laminated composite plates and shells-theory and analysis. Washington: CRC Press.

    MATH  Google Scholar 

  • Reddy, J. N., & Pandey, A. K. (1987). A first ply failure analysis of composite laminates. Computers and Structures, 25(3), 371–393.

    Article  MATH  Google Scholar 

  • Sorohan, S., Parausanu, I., Motomancea, A., & Caruntu, D. I. (2005) Dynamic analysis of composite plates. Proceedings of IMECE2005: ASME International Mechanical Engineering Congress and Exposition, November 5–11, Orlando, Florida USA.

  • Tornabene, F., & Dimitri, R. (2018). A numerical study of the seismic response of arched and vaulted structures made of isotropic or composite materials. Engineering Structures, 159, 332–366.

    Article  Google Scholar 

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Correspondence to Kalyan Kumar Mandal.

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Saha, P., Mandal, K.K. Transient responses of laminated composite plates. Asian J Civ Eng 22, 137–157 (2021). https://doi.org/10.1007/s42107-020-00304-5

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  • DOI: https://doi.org/10.1007/s42107-020-00304-5

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