Bending Analysis of SMA Embedded Rectangular Laminated Sandwich Plates with Soft Core Using 3D Finite Element Method

Abstract:

Nowadays Shape Memory Alloys (SMAs) are used as actuators in many applications such as aerospace structures. In sandwich structures, the SMA wires or plates are used in the skins for shape control of the structure or vibration damping. In this paper, bending behavior of sandwich plates with embedded SMA wires in their skins is studied. 3D finite element method is used for construction and analysis of the sandwich plate with a flexible core and two stiff skins. Some important points such as continuity conditions of the displacements, satisfaction of interlaminar transverse shear stresses, the conditions of zero transverse shear stresses on the upper and lower surfaces and in-plane and transverse flexibility of soft core are considered for accurate modeling and analysis of sandwich structures. Solution for bending analysis of sandwich plates under various transverse loads are presented and the effect of many parameters such as plate dimensions, loading conditions, material properties of core, skins and SMA wires are studied. Comparison of the present results in special case with those of the three-dimensional theory of elasticity and some plate theories confirms the accuracy of the proposed model.

• Periodical: Applied Mechanics and Materials (Volumes 110-116)
• Pages: 1458-1465
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.110-116.1458
• Online since: October 2011
• Authors: M. Khadem, M. M. Kheirikhah
• Keywords: 3D Finite Element Method, Bending Analysis, Sandwich Plate, Shape Memory Alloy Actuator, Soft Core

References

[1] Shokuhfar, MR Khalili, F Ashenai Ghasemi, K Malekzadeh, S Raissi, Analysis and optimization of smart hybrid composite plates subjected to low-velocity impact using the response surface methodology (RSM), Thin-Walled Struct, vol. 46, pp.1204-1212, (2008).

DOI: 10.1016/j.tws.2008.02.007

[2] P. Lu, F.S. Cui, M. J Tan, A theoretical model for the bending of a laminated beam with SMA fiber embedded layer, Compos Struct, vol. 90, pp.458-464, (2009).

DOI: 10.1016/j.compstruct.2009.04.018

[3] Y. Zhang, Y. Zhao, A study of composite beam with shape memory alloy arbitrarily embedded under thermal and mechanical loading, Material & Design, vol. 28, pp.1096-1115, (2007).

DOI: 10.1016/j.matdes.2006.02.001

[4] G. Sun, S. Sun, X Wu, J Wu, A study on thermomechanical deformation of elastic beam with embedded shape memory alloy wires, Material & Design, vol. 21, pp.525-528, (2000).

DOI: 10.1016/s0261-3069(00)00005-4

[5] W. Ostachowicz, M. Krawczuk, A Żak, Dynamic and buckling of a multilayer composite plate with embedded SMA wires, Compos Struct, vol. 48, pp.163-167, (2000).

DOI: 10.1016/s0263-8223(99)00090-2

[6] S.M.R. Khalili, A. Shokuhfar, F. Ashenai Ghasemi, K. Malekzadeh, Dynamic response of smart hybrid composite plate subjected to low-velocity impact, Compos Mater, vol. 41, pp.23-47, (2007).

DOI: 10.1177/0021998307075453

[7] N.J. Pagano, Exact solutions for rectangular bidirectional composites and sandwich plates, J Compos Mater, vol. 4 pp.20-34, (1970).

DOI: 10.1016/0010-4361(70)90076-5

[8] N.J. Pagano, Exact solution of composite laminates in cylindrical bending, J. Compos. Mater, vol. 3, pp.398-411, (1969).

[9] T. Kant, K. Swaminathan, Analytical solutions for the static analysis of laminated composite and sandwich plates based on a higher order refined theory, Compos Struct, vol. 56, pp.329-344, (2002).

DOI: 10.1016/s0263-8223(02)00017-x

[10] M.K. Pandit, A.H. Sheikh, B.N. Singh, An improved higher order zigzag theory for the static analysis of laminated sandwich plate with soft core. Finite Elements in Analysis and Design, vol. 44, pp.602-610, (2008).

DOI: 10.1016/j.finel.2008.02.001

[11] M.K. Pandit, A.H. Sheikh, BN Singh, Buckling of laminated sandwich plates with soft core based on an improved higher order zigzag theory, Thin-Walled Struct, vol. 46, pp.1183-1191, (2008).

DOI: 10.1016/j.tws.2008.03.002

[12] K. Malekzadeh, S.M.R. Khalili, RK. Mittal. Prediction of low velocity impact response of composite sandwich panels using new three degrees-of-freedom model, In: 13th Int conf mech eng, Esfahan University of Technology, Esfahan, Iran, Paper code: 24. 1418505, (2005).

DOI: 10.1177/0021998306060170

[13] H. Matsunaga, Assessment of a global higher-order deformation theory for laminated composite and sandwich plates, Compos Struct, vol. 56, pp.279-291, (2002).

DOI: 10.1016/s0263-8223(02)00013-2

[14] Z.W. Zhong, R.R. Chen, C. Mei, CS Pates, Buckling and post-buckling of shape memory alloy fiber-reinforced composite plates, In: Noor AK, editor. Buckling and postbuckling of composite structures. New York: ASME; 1994. p.115–132.

DOI: 10.1007/978-94-011-1228-4_3

[15] M. Cetkovic, D.J. Vuksanovic, Bending, free vibrations and buckling of laminated composite and sandwich plates using a layerwise displacement model, Compos Struct, vol. 88, p.219–227, (2008).

DOI: 10.1016/j.compstruct.2008.03.039

[16] M. Di Sciuva, Bending, vibration and bucking of simply-supported thick multilayered orthotropic plates: an evaluation of a new displacement model, J Sound Vib, vol. 105, p.425–42, (1986).

DOI: 10.1016/0022-460x(86)90169-0

[17] S. Brischetto, E. Carrera, L. Demasi, Improved bending analysis of sandwich plates using a zig-zag function, Compos Struct, vol. 89, pp.408-415, (2009).

DOI: 10.1016/j.compstruct.2008.09.001

[18] J. Hohe, L. Librescu. Advances in the modeling of deformation and buckling of structural sandwich panels, Mech Adv Mat Struct, vol. 11, p.395–424, (2004).

[19] J. N. Reddy, Mechanics of Laminated Composite Plates and Shells, Theory and Analysis. 2nd Edition, CRC Press, 2004, New York.

[20] K. Otsuka, C.M. Wayman, Shape Memory Materials, Cambridge University Press, (1998).