Low Velocity Impact Response of Sandwich Beams with Composite Face-Sheets and Foam or Honeycomb Core: Analytical Modeling and Finite Element Simulation

Document Type : Research Article


Department of Mechanical Engineering, Razi University, Kermanshah, Iran


In this paper, an analytical solution for the static indentation and low velocity impact response of composite sandwich beams with an orthotropic symmetric composite face-sheets and foam or honeycomb core is presented. The indentation force during impact loading consists of two regimes, one for small indentations of the top face-sheet due to bending moments and the other for larger deformation due to membrane forces. Also, the crushable core is considered a rigid-plastic foundation, and the elastic aspect is neglected. To obtain a more accurate approximation of the static indentation of the beam, both the local and global deformation of the sandwich beam are considered. The minimum potential energy method is applied for the extraction of governing equations. Furthermore, by developing a three dimensional finite element model through the ABAQUS code, the low velocity impact on composite sandwich beams with foam core is simulated. The contact force history, maximum contact force, and upper face-sheet displacement results computed by the analytical model are compared with experimental and ABAQUS simulations. A good agreement between the analytical model, finite element simulation, and experimental results, is observed. 


Main Subjects

[1] J.R. Vinson, Sandwich structures, Applied Mechanics Reviews, 54(3) (2001) 201-214.
[2] E.B. Inés Ivañez, Sonia Sanchez-Saez, Analytical study of the low-velocity impact response of composite sandwich beams, Composite Structures, 111 (2014) 459-467.
[3] K.S.P. Michell S. Hoo Fatt, Dynamic models for low velocity impact damage of composite sandwich panels – Part A: Deformation, Composite Structures, 52(3) (2001) 335-351.
[4] S. Abrate, Impact on laminated composites, Recent Advances, Applied Mechanics Reviews, 47(11) (1994) 517-544.
[5] S. Abrate, Localized impact on sandwich structures with laminated facing, Applied Mechanics Reviews, 50(20) (1997) 68-82.
[6] S. Abrate, Modeling of impacts on composite structures Impact on laminated composite materials, Composite Structures, 51(2) (2001) 129-138.
[7] J.L. Abot, Daniel, I. M., & Gdoutos, E. E., Contact law for composite sandwich beams, J Sandwich Struct Mate., 4(2) (2002) 157-173.
[8] T.M. McCormack, Miller, R., Kesler, Failure of sandwich beams with metallic foam cores, Journal of Sandwich Structure Materials, 4(2) (2002) 157-173.
[9] L.J.-J. Schubel P. M., Daniel I.M., , Low-velocity impact behavior of composite sandwich panels, Compos. Part A,, 36(10) (2005) 1389-1396.
[10] W.J. E., Response mechanisms in the impact of graphite/epoxy honeycomb sandwich panels, MIT, 1991.
[11] C.L. Wu, Sun, C. T. , Low velocity impact damages in composite sandwich beams, Composite Structures, 34 (1996) 1.
[12] T. Anderson, Madenci, E., Experimental investigation of low-velocity impact characteristics of sandwich composites, Composite Structures, 50(3) (2000) 239-247.
[13] C.C. Foo, Chai, G.B., L.K. Seah, A model to predict low-velocity impact response and damage in sandwich composites, Composite Sciemce Technology, 68(6) (2008) 1348-1356.
[14] U. Icardi, Ferrero, L., Impact analysis of sandwich composites based on a refined plate element with strain energy updating, Composite Structures, 89(1) (2009) 35-51.
[15] M. Meo, Morris, A. J., Vignjevic, R., & Marengo, G. , Numerical simulations of low velocity impact on an aircraft sandwich panel., Composite Structures, 62(3) (2003) 353-360.
[16] S.-S.S. Ivañez I, Numerical modelling of the low-velocity impact response of composite sandwich beams with honeycomb core, Composite Structures, 106 (2013) 716-723.
[17] S.C. Ivañez I, Sanchez-Saez S., FEM analysis of dynamic flexural behavior of composite sandwich beams with foam core, composite Structures, 92(9)  2285–2291.
[18] T.A. Anderson., An investigation of SDOF models for large mass impact on sandwich composites, Composites: Part B, 36(2) (2005) 135-142.
[19] R. Olsson, Engineering Method for prediction of impact response and damage in sandwich panels, Journal of Sandwich Structure Materials, 4(1) (2002) 3-29.
[20] D.W. Zhou, & Stronge, W. J., Low velocity impact denting of HSSA lightweight sandwich panel., Internatonal  Journal of Mechanical Science, 48(10) (2006) 1031-1045.
[21] M.A. Hazizan, & Cantwell, W. J., The low velocity impact response of foam-based sandwich structures, Composites: Part B, 33(3) (2002) 193-204.
[22] M.A. Hazizan, & Cantwell, W. J., The low velocity impact response of an aluminum honeycomb sandwich structure., Composites: Part B, 34(8) (2003).
[23] R.S. Hasebe, & Sun, C. T. , Performance of sandwich structure with composite reinforced core, Journal of Sandwich Structure Materials, 2(1) (2000) 75-100.
[24] C. Chen, Harte, A. M., & Fleck, N. A. . I., The plastic collapse of sandwich beams with a metallic foam core, Int. J Mech. Sci. , 43(6) (2001) 1483-1506.
[25] H.F.M. Türk MH, Localized damage response of composite sandwich plates, Compos Part B, 30(2) (1999) 157-165.
[26] M. Meo, Vignjevic, R., & Marengo, G. , The response of honeycomb sandwich panels under low-velocity impact loading, Int. J Mech. Sci., 47(9) (2005) 1301-1325.
[27] Y. Frostig, and M. Baruch., Buckling of simply-supported sandwich beams with transversely flexible core—a high order theory, J. Eng. Mech., 119 (1993) 955-972.
[28] Y. Frostig, Bending  of  sandwich  beams  with  transversely  flexible  core  and  transverse  diaphragms, J.  Eng.  Mech.  Div.,  ASCE. , 119(5) (1993) 955-972.
[29] Y. Frostig, & Shenhar, Y. , High-order bending of sandwich beams with a transversely flexible core and unsymmetrical laminated composite skins, Compos. Eng. , 5(4) (1995) 405-444.
[30] Z. Xie, Zheng, Z., & Yu, J. , Localized indentation of sandwich beam with metallic foam core, Journal of Sandwich Structure Materials, 14(2) (2011) 197-210.
[31] P. Navarro, Abrate, S., Aubry, J., Marguet, S., & Ferrero, J. F. , Analytical modeling of indentation of composite sandwich beam., Composite Structures, 100 (2013) 79-88.
[32] A.L. Dobyns, Analysis of simply-supported orthotropic plates subject to static and dynamic loads, AIAA J 19(5) (1981) 642-650.
[33] K.S. Hibbit, ABAQUS/Explicit user’s manual Version 6.4.