Assessment of Different Mathematical Models for Analysis of Low-Velocity Impact on Composite Plates in Presence of Pre-loads
محورهای موضوعی :
Mechanical Engineering
A Davar
1
,
A Labbafian Mashhadi
2
,
J Eskandari Jam
3
,
M Heydari Beni
4
1 - Faculty of Materials and Manufacturing Technologies, Malek Ashtar University of Technology, Tehran, Iran
2 - Faculty of Materials and Manufacturing Technologies, Malek Ashtar University of Technology, Tehran, Iran
3 - Faculty of Materials and Manufacturing Technologies, Malek Ashtar University of Technology, Tehran, Iran
4 - Faculty of Materials and Manufacturing Technologies, Malek Ashtar University of Technology, Tehran, Iran
تاریخ دریافت : 1400/09/17
تاریخ پذیرش : 1400/10/26
تاریخ انتشار : 1401/01/10
کلید واژه:
Low-velocity Impact,
Composite plate,
Impact force history,
Quasi-static response,
چکیده مقاله :
In this paper, the low-velocity impact response of composite plates in the presence of pre-loads is investigated using three new models for contact force estimation. The boundary conditions are considered as simply supported and the behavior of the material is linear elastic. The equations are based on both classical and first order shear deformation theory and the Fourier series method is used to solve the governing equations. The mass of the impactor is considered to be large mass and therefore the impact response is categorized as quasi-static. In the first impact model, the contact force history is first considered as a half-sine and then the maximum contact force and contact duration are calculated. In the second model, an improved two degree of freedom (ITDOF) spring-mass system is expressed by calculating the effective contact stiffness using a fast-iterative scheme. In the third model, which is expressed for the first time in this paper, the plate is considered as a series of masses and springs constructing a multi degree of freedom (MDOF) spring-mass system and the average forces applied to springs is introduced as the contact force. Validation of these models is done by comparing the results with the analytical, numerical and experimental results and shows good agreement. Results show that the new MDOF spring-mass system is more accurate for calculating the contact force rather than the ITDOF spring-mass system.
منابع و مأخذ:
Abrate S., 2001, Modeling of impacts on composite structures, Composite Structures 51: 129-138.
Ansari M.M., Chakrabarti A., Iqbal M.A., 2016, Effects of impactor and other geometric parameters on impact behavior of FRP laminated composite plate, AMSE Journal Series: Modelling A 89(1): 25-44.
Apetre N.A., Sankar B.V., Ambur D.R., 2006, Low-velocity impact response of sandwich beams with functionally graded core, Journal of Solids and Structures 43: 2479-2496.
Aslan Z., Karakuzu R., Okutan B., 2003, The response of laminated composite plates under low-velocity impact loading, Composite Structures 59(1): 119-127.
Choi I.H., Lim C.H., 2004, Low-velocity impact analysis of composite laminates using linearized contact law, Composite Structures 66(1-4): 125-132.
Choi I.H., 2008, Low-velocity impact analysis of composite laminates under initial in-plane load, Composite Structures 86: 251-257.
Christoforou A.P., Elsharkawy A.A., Guedouar L.H., 2001, An inverse solution for low-velocity impact in composite plates, Computers & Structures 79: 2607-2619.
Dobyns A.L., 1981, Analysis of simply-supported orthotropic plates subject to static and dynamic loads, AIAA Journal 19(5): 642-650.
Feli S., Karami L., Jafari S.S., 2019, Analytical modeling of low-velocity impact on carbon nanotube-reinforced composite (CNTRC) plates, Mechanics of Advanced Materials and Structures 26(5): 394-406.
Her S.C., Liang Y.C., 2004, The finite element analysis of composite laminates and shell structures subjected to low-velocity impact, Composite Structures 66(1-4): 277-285.
Huo X., Liu H., Luo Q., Sun G., Li Q., 2020, On low-velocity impact response of foam-core sandwich panels, International Journal of Mechanical Sciences 181: 105681.
Karakuzu R., Erbil E., Aktas M., 2010, Impact characterization of glass/epoxy composite plates: An experimental and numerical study, Composites Part B: Engineering 41(5): 388-395.
Khalili S.M., Malekzadeh K., Veysi Gorgabad A., 2013, Low-velocity transverse impact response of functionally graded plates with temperature dependent properties, Composite Structures 96: 64-74.
Khalili S.M., Mittal R.K., Mohammad Panah N., 2007, Analysis of fiber reinforced composite plates subjected to transverse impact in the presence of initial stresses, Composite Structures 77(2): 263-268.
Khalili S.M.R., Soroush M., Davar A., Rahmani O., 2011, Finite element modeling of low-velocity impact on laminated composite plates and cylindrical shells, Composite Structures 93(5): 1363-1375.
Moh J.S., Hwu C., 1997, Optimization for buckling of composite sandwich plates, AIAA Journal 35: 863-868.
Olsson R., 2000, Mass criterion for wave-controlled impact response of composite plates, Composites Part A 31: 879-887.
Patil S., Reddy D.M., Study of oblique low-velocity impact on composite plate, Materials Today: Proceedings.
Payeganeh G.H., Ashenai Ghasemi F., Malekzadeh K., 2010, Dynamic response of fiber–metal laminates (FMLs) subjected to low-velocity impact, Thin-Walled Structures 48(1): 62-70.
Pierson M.O., Vaziri R., 1996, Analytical solution for low-velocity impact response of composite plates, AIAA Journal 34(8): 1633-1640.
Setoodeh A., Malekzadeh P., Nikbin K., 2009, Low-velocity impact analysis of laminated composite plates using a 3D elasticity based layerwise FEM, Materials & Design 30(9): 3795-3801.
Shivakumar K.N., Elber W., Lllg W., 1985, Prediction of impact force and duration due to low-velocity impact on circular composite laminates, Applied Mechanics 52: 674-680.
Soedel W., 2004, Vibration of Shells and Plates, Marcel Dekker INC, New York.
Swanson S.R., 1992, Limits of quasi-static solutions in impact of composite structures, Composites Part B: Engineering 2(4): 261-267.
Ugural A.C., 2010, Stresses in Beams, Plates and Shells, CRC Press, Texas.
Vinson J.R., Sierakowski R.L., 2002,The Behavior of Structures Composed of Composite Materials, Kluwer, Dordrecht.
Whitney J. M., Pagano N.J., 1970, Shear deformation in heterogeneous anisotropic plates, Applied Mechanics 37: 1031-1036.
Whitney J.M., 1987, Structural Analysis of Laminated Anisotropic Plates, Technomic, Ohio.
Zouggar K., Boukhoulda F.B., Haddag B., Nouari M., 2016, Numerical and experimental investigations of S-Glass/Polyester composite laminate plate under low energy impact, Composites Part B: Engineering 89: 169-186.
