Nonlinear Finite Element Eccentric Low-Velocity Impact Analysis of Rectangular Laminated Composite Plates Subjected to In-phase/Anti-phase Biaxial Preloads
الموضوعات :
M Shariyat
1
(Faculty of Mechanical Engineering, K.N. Toosi University of Technology)
M Moradi
2
(Faculty of Mechanical Engineering, K.N. Toosi University of Technology)
S Samaee
3
(Faculty of Mechanical Engineering, K.N. Toosi University of Technology)
الکلمات المفتاحية: Finite Element, Eccentric low-velocity impact, Composite plate, Contact law, Preload,
ملخص المقالة :
All impact analyses performed so far for the composite plates, have treated central impacts. Furthermore, investigations on influences of the in-plane biaxial compression, tension, or tension-compression preloads on various responses of the low-velocity impact, especially the indentation, have not been performed so far. In the present research, a finite element formulation is presented for response prediction of a low-velocity eccentric impact between a rigid spherical indenter and a laminated composite rectangular plate with asymmetric lamination scheme. Different contact laws are considered for the loading and unloading phases. A parametric study is performed to investigate influence of the specifications of the plates and the indenter, the eccentric value, and the in-plane preloads on the indentation and force time histories. Results show that the compressive and tensile in-plane preloads reduce and increase the contact force (and consequently, the indentation values), respectively. Therefore, the extensive tensile preloads may lead to higher damages.
[1] Gong S.W., Lam K.Y., 2000, Effects of structural damping and stiffness on impact response of layered structures, Amerian Institute of Aeronautics and Astronautics 38(9): 1730–1735.
[2] Jacquelin E., Laine´ J.-P., Bennani A., Massenzio M., 2007, A modelling of an impacted structure based on constraint modes, Journal of Sound and Vibration 301(3-5), 789–802 .
[3] Pashah S., Massenzio M., Jacquelin E., 2008, Prediction of structural response for low velocity impact, International Journal of Impact Engineering 35(2): 119–132 .
[4] Anderson T.A., 2005, An investigation of SDOF models for large mass impact on sandwich composites. Journal Composites: Part B 36(2): 135–142.
[5] Abrate S., 1997, Localized impact on sandwich structures with laminated facing, Applied Mechanics Reviews 50(2): 69–82.
[6] Abrate S., 2011, Impact Engineering of Composite Structures, CISM, Udine, Springer.
[7] Chai G.B., Zhu S., 2011, A review of low-velocity impact on sandwich structures, Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials-Design and Applications 225(4): 207-230 .
[8] Qiu X.M., Yu T.X., 2011, Some topics in recent advances and applications of structural impact dynamics, Applied Mechanics Reviews 64(3).
[9] Nosier A., Kapania R.K., Reddy J.N., 1994, Low-velocity impact of laminated composites using a layerwise theory, Computational Mechanics 13: 360- 379.
[10] Sun D., Luo S.-N., 2011, Wave propagation and transient response of a FGM plate under a point impact load based on higher-order shear deformation theory, Composite Structures 93: 1474–1484.
[11] Yigit A.S., Christoforou A.P., 1995, On the impact between a rigid sphere and a thin composite laminate supported by a rigid substrate, Composite Structures 30(2):169–177.
[12] Christoforou A.P., Yigit A.S., 1998, Effect of flexibility on low velocity impact response, Journal of Sound and Vibration 217: 563–578 .
[13] Yigit A.S., Christoforou A.P., 2007, Limits of asymptotic solutions in low-velocity impact of composite plates, Composite Structures 81: 568–574.
[14] Christoforou A.P., Yigit A.S., 2009, Scaling of low-velocity impact response in composite structures, Composite Structures 91: 358–365.
[15] Shariyat M., Ghajar R., Alipour M.M., 2012, An analytical solution for a low velocity impact between a rigid sphere and a transversely isotropic strain-hardening plate supported by a rigid substrate, Journal of Engineering Mathematics 75: 107-125.
[16] Guan Z., Yang C., 2002, Low-velocity impact and damage process of composite laminates, Journal Composites Material 36, 851-871.
[17] Zheng D., Binienda W.K., 2009, Semianalytical solution of wave-controlled impact on composite laminates, ASCE Journal of Aerospace Engineering 22: 318-323.
[18] Olsson R., 2010, Analytical model for delamination growth during small mass impact on plates, International Journal of Solids and Structures 47: 2884–2892.
[19] Yang J., Shen H.-S., 2001, Dynamic response of initially stressed functionally graded thin plates, Composite Structures 21: 497-508.
[20] Choi I.-H., 2008, Low-velocity impact analysis of composite laminates under initial in-plane load, Composite Structures 86, 251–257.
[21] Shariyat M., Farzan F., 2012, Nonlinear eccentric low-velocity impact analysis of a highly pre-stressed FGM rectangular plate, using a refined contact law, Archive of Applied Mechanics, DOI: 10.1007/s00419-012-0708-3.
[22] Shariyat M., Jafari R., 2013, Nonlinear low-velocity impact response analysis of a radially preloaded two-directional-functionally graded circular plate: A refined contact stiffness approach, Composites Part B 45: 981-994.
[23] Khalili S.M.R., 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: 263–268.
[24] Heimbs S., Heller S., Middendorf P., Ha¨hnel F., Weiße J., 2009, Low velocity impact on CFRP plates with compressive preload: Test and modeling, International Journal of Impact Engineering 36: 1182–1193.
[25] Choi I.H., 2008, Low-velocity impact analysis of composite laminates under initial in-plane load, Composite Structures 86: 251–257.
[26] Reddy J.N., 2006, Theory and Analysis of Elastic Plates and Shells, 2nd edition, CRC Press.
[27] Turner J.R., 1980, Contact on a transversely isotropic half-space, or between two transversely isotropic bodies, International Journal of Solids and Structures 16: 409–19 .
[28] Yang S.H., Sun C.T., 1982, Indentation law for composite laminates, in: Composite Materials , Testing and Design (6th conference), ASTM STP-787, 425–449.
[29] Huebner K.H., Dewhirst D.L., Smith D.E., Byrom T.G., 2001, The Finite Element Method for Engineers, 4th Edition, John Wiley & Sons.
[30] Bathe K.-J., 2007, Finite Element Procedures, Cambridge.
[31] Tiberkak R., 2008, Damage prediction in composite plates subjected to low velocity impact, Composite Structures 83: 73–82.
[32] Pierson M.O., Vaziri R., 1996, Analytical solution for low-velocity impact response of composite plates, Amerian Institute of Aeronautics and Astronautics 34: 1633-1640.
