The Effects of Initial In-Plane Loads on the Response of Composite-Sandwich Plates Subjected to Low Velocity Impact: Using a New Systematic Iterative Analytical Process
محورهای موضوعی : EngineeringK Malekzadeh Fard 1 , A Azarnia 2
1 - Department of Aerospace Engineering, Malek-e-Ashtar University of Technology, Tehran, Iran
2 - Department of Aerospace Engineering, Malek-e-Ashtar University of Technology, Tehran, Iran
کلید واژه: New analytical contact law, Low-velocity Impact, Initial in-plane force, Composite sandwich plate,
چکیده مقاله :
A new systematic iterative analytical procedure is presented to predict the dynamic response of composite sandwich plates subjected to low-velocity impact phenomenon with/without initial in-plane forces. In this method, the interaction between indenter and sandwich panel is modeled with considering the exponential equation similar to the Hertzian contact law and using the principle of minimum potential energy and the energy-balance model. In accordance with the mentioned procedure and considering initial in-plane forces, the unknown coefficients of the exponential equation are obtained analytically. Accordingly, the traditional Hertzian contact law is modified for use in the composite sandwich panel with the flexible core under biaxial pre-stresses. The maximum contact force using the two-degrees-of-freedom (2DOF) spring-mass model is calculated through an iterative systematic analytical process. Using the present method, in addition to reducing the runtime, the problem-solving process is carried out with appropriate convergence. The numerical results of the analysis are compared with the published experimental and theoretical results. The effects of some important geometrical and physical parameters on contact force history are examined in details.
[1] Koller M.G., 1986, Elastic impact of spheres on sandwich plates, Zeitschrift für Angewandte Mathematik und Physik (ZAMP) 37(2): 256-269.
[2] Lee L.J.,Huang K.Y., Fann Y.J., 1993,Dynamic responses of composite sandwich plate impacted by a rigid ball, Journal of Composite Materials 27(13): 1238-1256.
[3] Yang S.H., Sun C.T., 1982,Indentation law for composite laminates, ASTM STP 787: 425-449.
[4] Olsson R., McManus H.L., 1996, Improved theory for contact indentation of sandwich panels, AIAA 34(6): 1238-1244.
[5] Liou W.J., 1997,Contact laws of carbon/Epoxy laminated Composite plates, Journal of Reinforced Plastics and Composites 16: 155-166.
[6] Hoo Fatt M.S., Park K.S., 2001, Dynamic models for low-velocity impact damage of composite sandwich panels-part A: Deformation, Composite Structure 52: 335-351.
[7] Sburlati R., 2002,The effect of a slow impact on sandwich plates, Journal of Composite Materials 36(9): 1079-1092.
[8] Choi I.H.,Lim C.H., 2004, Low velocity impact analysis of composite laminates using linearized contact law, Composite Structures 66: 125-132.
[9] Kiratisaevee H., Cantwell W.J., 2005, Low-velocity impact response of high-performance aluminum foam sandwich structures, Journal of Reinforced Plastics and Composites 24(10): 1057-1072.
[10] Malekzadeh K.,Khalili M.R.,Mittal R.K., 2006, Response of in-plane linearly prestressed composite sandwich panels with transversely flexible core to low-velocity impact, Journal of Sandwich and Materials 8: 157-181.
[11] Choi I.H., 2008, Low-velocity impact analysis of composite laminates under initial in-plane load, Journal of Composite Structures 86: 251-257.
[12] Hossini M.,Khalili M.R.,Malekzadeh K., 2011,Indentation analysis of in-plane prestress composite sandwich plates: An improved contact law, Key Engineering Materials 471-472: 1159-1164.
[13] Khalili M.R.,Hosseini M.,Malekzadeh K., Forooghgy S.H., 2013, Static indentation response of an in-plane pre-stressed composite sandwich plate subjected to a rigid blunted indenter, European Journal of Mechanics A/Solids 38: 59-69.
[14] Shariyat M.,Hosseini S.H., 2014, Eccentric impact analysis of pre-stressed composite sandwich plates with viscoelastic cores: A novel global–local theory and a refined contact law, Composite Structures 117: 333-345.
[15] Zhou D.W.,Stronge W.J., 2006, Low velocity impact denting of HSSA lightweight sandwich panel, International Journal of Mechanical Sciences 48: 1031-1045.
[16] Azarnia A.H.,Malekzadeh K., 2018, Analytical modeling to predict dynamic response of Fiber-Metal Laminated Panel subjected to low velocity impact, Journal of Science and Technology of Composite 5(3): 331-342.
[17] Shokrieh M.M.,Fakhar M.N., 2012, Experimental, analytical, and numerical studies of composite sandwich panels under low-velocity impact loadings, Mechanics of Composite Materials 47(6): 643-658.
