Abstract
In this paper, a new 2D quadrilateral finite element model, based on the layerwise approach, is developed for bending and free vibration analysis of multilayer sandwich plates. Unlike any other layerwise theory, the number of degrees of freedom in this present model is independent of the number of layers. Both, high order and first order shear deformation theories are used in order to model the core and face-sheets respectively. This combined theory satisfies the compatibility conditions as well as continuity of displacements, at the interface. The numerical results obtained by our model are compared favorably with those obtained via analytical solution and numerical results obtained by other models.
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References
Ćetković, M., Vuksanović, D.: Bending, free vibrations and buckling of laminated composite and sandwich plates using a layerwise displacement model. Composite Structures 88(2), 219–227 (2009)
Kant, T., Swaminathan, K.: Free Vibration Of Isotropic, Orthotropic, and Multilayer Plates Based on Higher Order Refined Theories. Journal of Sound and Vibration 241(2), 319–327 (2001)
Khandelwal, R., Chakrabarti, A., Bhargava, P.: An efficient FE model based on combined theory for the analysis of soft core sandwich plate. Computational Mechanics 51(5), 673–697 (2013)
Linke, M., Wohlers, W., Reimerdes, H.-G.: Finite element for the static and stability analysis of sandwich plates. Journal of Sandwich Structures and Materials 9(2), 123–142 (2007)
Maturi, D.A., Ferreira, A.J.M., Zenkour, A.M., Mashat, D.S.: Analysis of sandwich plates with a new layerwise formulation. Composites Part B: Engineering 56(0), 484–489 (2014)
Nabarrete, A., De Almeida, S.F.M.: Sandwich-plate vibration analysis: three-layer quasi-three-dimensional finite element model. AIAA Journal 41(8), 1547–1555 (2003)
Oskooei, S., Hansen, J.: Higher-order finite element for sandwich plates. AIAA Journal 38(3), 525–533 (2000)
Pagano, N.: Exact solutions for rectangular bidirectional composites and sandwich plates. Journal of Composite Materials 4(1), 20–34 (1970)
Pandit, M.K., Sheikh, A.H., Singh, B.N.: An improved higher order zigzag theory for the static analysis of laminated sandwich plate with soft core. Finite Elements in Analysis and Design 44(9), 602–610 (2008)
Ramtekkar, G., Desai, Y., Shah, A.: Application of a three-dimensional mixed finite element model to the flexure of sandwich plate. Computers & Structures 81(22), 2183–2198 (2003)
Rao, M., Scherbatiuk, K., Desai, Y., Shah, A.: Natural Vibrations of Laminated and Sandwich Plates. Journal of Engineering Mechanics 130(11), 1268–1278 (2004)
Reddy, J.N.: An evaluation of equivalent-single-layer and layerwise theories of composite laminates. Composite Structures 25(1-4), 21–35 (1993)
Zhen, W., Wanji, C.: A C0-type higher-order theory for bending analysis of laminated composite and sandwich plates. Composite Structures 92(3), 653–661 (2010)
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Belarbi, M.O., Tati, A., Khechai, A. (2015). Efficient Layerwise Finite Element Model for Multilayer Sandwich Plates Analysis. In: Chouchane, M., Fakhfakh, T., Daly, H., Aifaoui, N., Chaari, F. (eds) Design and Modeling of Mechanical Systems - II. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-17527-0_30
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DOI: https://doi.org/10.1007/978-3-319-17527-0_30
Publisher Name: Springer, Cham
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