Effect of Functionally Graded Core on Dynamic Response of Sandwich Panel subjected to Transverse Low-velocity Impact

Document Type : Research Article

Authors

Abstract

In this paper, the problem of low-velocity transverse impact on a sandwich panel with functionally graded core has been considered. The interaction between the impactor and the panel is modeled with the help of a system having two-degrees-of-freedom consisting of springs-masses. In order to determine the contact force history, a numerical procedure is employed based on improved higher-order sandwich plate theory. Shear deformation theory is used for the face sheets while three-dimensional elasticity theory is used for the core. For the first time effect of consideration of in-plane shear stress and normal stress in the core is considered. Displacement components in the core are assumed to vary with a polynomial function with unknown coefficients. Results indicate that use of the FG core can reduce deflections and increase maximum of contact forces.

Keywords


[1] Suresh, S.; Mortensen, A.; Fundamentals of Functionally Graded Materials, IOM Communications Limited, London, United Kingdom, 1998.
[2] Koizumi, M.; “FGM activities in Japan" Composites Part B, vol. 28, p.p. 1–4, 1997.
[3] Li, Q.; Iu, V.P.; Kou, K.P.; "Three-dimensional vibration analysis of functionally graded material sandwich plates", Journal of Sound and Vibration, vol. 311, p.p.498-515, 2008.
[4] Chi, S.H.; Chung, Y.L.; "Mechanical behavior of functionally graded material plates under transverse load— Part I: Analysis", International Journal of Solids and Structures, vol. 43, p.p. 3657–3674, 2006.
[5] Prakash, T.; Singha, M.K.; Ganapathi, M.; "Thermal postbuckling analysis of FGM skew plates", Engineering Structures, vol. 30, p.p. 22-32, 2008.
[6] Delale, F.; Erdogan, F.; "The crack problem for a nonhomogeneous plane", ASME Journal of Applied Mechanics, vol. 50, p.p. 609–614, 1983.
[7] Apetre, N.A.; Sankar, B.V.; Ambur, D.R.; "Low-velocity impact response of sandwich beams with functionally graded core", Journal of Solids and Structures, vol. 43, p.p. 2479-2496, 2006.
[8] Anderson, T.A.; "An investigation of SDOF models for large mass impact on sandwich composites", Journal of Composites Part B, vol. 36(2), p.p. 135–142, 2005.
[9] Etemadi E., Afaghi Khatibi A., Takaffoli M., "3D finite element simulation of sandwich panels with a functionally graded core subjected to low velocity impact". Journal of Composite Structures, vol. 89(1), p.p. 28-34, 2009.
[10] Frostig, Y.; Thomsen, O. T.; "High-order free vibration of sandwich panels with a flexible core", International Journal of Solids and Structures, vol. 41, p.p. 1697–1724, 2004.
[11] Malekzadeh, K.; Khalili, M.R.; Mittal R.K.; "Local and global damped vibration of plates with a viscoelastic soft flexible core: an improved high-order approach", Journal of Sandwich Structure and Materials, vol. 7, p.p. 431-456, 2005.
[12] Khalili, M.R.; Malekzadeh, K.; Mittal, R.K.; "Effect of physical and geometrical parameters on transverse low-velocity impact response of sandwich panels with a transversely flexible core", Journal of Composite Structures, vol. 77, p.p. 430-443, 2007
[13] Choi, I.H.; Lim, C.H.; "Low-velocity impact analysis of composite laminates using linearized contact law", Journal of Composite Structure, vol. 66, p.p. 125–32, 2004.