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Geometrically nonlinear analysis of sandwich beams under low velocity impact: analytical and experimental investigation

  • Salami, Sattar Jedari (Department of Mechanical Engineering, Damavand branch, Islamic Azad University) ;
  • Dariushi, Soheil (Department of Composite, Iran polymer and petrochemical Institute)
  • Received : 2017.08.09
  • Accepted : 2018.03.03
  • Published : 2018.05.10

Abstract

Nonlinear low velocity impact response of sandwich beam with laminated composite face sheets and soft core is studied based on Extended High Order Sandwich Panel Theory (EHSAPT). The face sheets follow the Third order shear deformation beam theory (TSDT) that has hitherto not reported in conventional EHSAPT. Besides, the two dimensional elasticity is used for the core. The nonlinear Von Karman type relations for strains of face sheets and the core are adopted. Contact force between the impactor and the beam is obtained using the modified Hertz law. The field equations are derived via the Ritz based applied to the total energy of the system. The solution is obtained in the time domain by implementing the well-known Runge-Kutta method. The effects of boundary conditions, core-to-face sheet thickness ratio, initial velocity of the impactor, the impactor mass and position of the impactor are studied in detail. It is found that each of these parameters have significant effect on the impact characteristics which should be considered. Finally, some low velocity impact tests have been carried out by Drop Hammer Testing Machine. The contact force histories predicted by EHSAPT are in good agreement with that obtained by experimental results.

Keywords

Acknowledgement

Supported by : Islamic Azad University

References

  1. Abrate, S. (2005), Impact on Composite Structures, Cambridge University Press, New York, NY, USA.
  2. Abrate, S. and Di Sciuva, M. (2017), "Equivalent single layer theories for composite and sandwich structures: A review", Compos. Struct., 179, 482-494. https://doi.org/10.1016/j.compstruct.2017.07.090
  3. Benbakhti, A., Bouiadjra, M.B., Retiel, N. and and Tounsi, A. (2016), "A new five unknown quasi-3D type HSDT for thermomechanical bending analysis of FGM sandwich plates", Steel Compos. Struct., Int. J., 22(5), 975-999. https://doi.org/10.12989/scs.2016.22.5.975
  4. Bennai, R., Ait Atmane, H. and Tounsi, A. (2015), "A new higherorder shear and normal deformation theory for functionally graded sandwich beams", Steel Compos. Struct., Int. J., 19(3), 521-546. https://doi.org/10.12989/scs.2015.19.3.521
  5. Caliri, M., Ferreira, A. and Tita, V. (2016), "A review on plate and shell theories for laminated and sandwich structures highlighting the Finite Element Method" Compos. Struct., 156, 63-77. https://doi.org/10.1016/j.compstruct.2016.02.036
  6. Carlsson, L.A. and Kardomateas, G.A. (2011), Structural and Failure Mechanics of Sandwich Composites, Springer, New York, NY, USA.
  7. Daniel, I.M., Gdoutos, E.E. and Rajapakse, Y.D.S. (2009), Major Accomplishments in Composite Materials and Sandwich Structures, Springer, New York, NY, USA.
  8. Dariushi, S. and Sadighi, M. (2014), "A new nonlinear high order theory for sandwich beam: an analytical and experimental investigation", Compos. Struct., 108, 779-788. https://doi.org/10.1016/j.compstruct.2013.09.022
  9. Frostig, Y., Baruch, M., Vilnay, O. and Sheinman, I. (1992), "High order theory for sandwich beam behavior with transversely flexible core", J. Eng. Mech., 118(5), 1026-1043. https://doi.org/10.1061/(ASCE)0733-9399(1992)118:5(1026)
  10. Ganapathi, S.C., Peter, J.A., Lakshmanan, N. and Iyer, N.R. (2016), "Behavior of light weight sandwich panels under out of plane bending loading", Steel Compos. Struct., Int. J., 21(4), 775-789. https://doi.org/10.12989/scs.2016.21.4.775
  11. Jedari Salami, S., Sadighi, M. and Shakeri, M. (2014), "Improved extended high orderanalysis of sandwich beams with a bilinear core shear behaviour", J. Sandw. Struct. Mater., 16(6), 633-668. https://doi.org/10.1177/1099636214548614
  12. Khalili, M.R., Malekzadeh, K. and Mittal, R.K. (2007), "Effect of physical and geometrical parameters on transverse low-velocity impact response of sandwich panels with a transversely flexible core", Compos. Struct., 77(4), 430-443. https://doi.org/10.1016/j.compstruct.2005.07.016
  13. Liu, J., Zhu, X., Li, T., Zhou, Z., Wu, L. and Ma, L. (2014), "Experimental study on the low velocity impact responses of all-composite pyramidal truss core sandwich panel after high temperature exposure", Compos. Struct., 116, 670-681. https://doi.org/10.1016/j.compstruct.2014.06.005
  14. Malekzadeh Fard, K. (2014), "Higher order impact analysis of sandwich panels with functionally graded flexible cores" Steel Compos. Struct., Int. J., 16(4), 389-415. https://doi.org/10.12989/scs.2014.16.4.389
  15. Malekzadeh, K., Khalili, M.R., Olsson, R. and Jafari, A. (2006), "Higher-order dynamic response of composite sandwich panels with flexible core under simultaneous low-velocity impacts of multiple small masses", Int. J. Solids Struct., 43(22-23), 6667-6687. https://doi.org/10.1016/j.ijsolstr.2006.02.001
  16. Noor, A.K., Burton, W.S. and Bert, C.W. (1996), "Computational models for sandwich panels and shells", Appl. Mech. Rev., 49(3), 155-199. https://doi.org/10.1115/1.3101923
  17. Phan, C., Kardomateas, G.A. and Frostig, Y. (2011), "Analysis of sandwich beams with a compliant core and with in-plane rigidity-extended high-order sandwich panel theory versus elasticity", J. Appl. Mech., 79(4), 1-11.
  18. Qiao, P. and Yang, M. (2007), "Impact analysis of fiber reinforced polymer honeycomb composite sandwich beams", Compos. Part B, 38(5-6), 739-750. https://doi.org/10.1016/j.compositesb.2006.07.014
  19. Rabinovitch, O., Vinson, J.R. and Frostig, Y. (2003), "High-order analysis of unidirectional sandwich panels with piezolaminated face sheets and soft core", AIAA, 41(1), 110-118. https://doi.org/10.2514/2.1919
  20. Rajaneesh, A., Sridhar, I. and Rajendran, S. (2014), "Relative performance of metal and polymeric foam sandwich plates under low velocity impact", Int. J. Impact Eng., 65, 126-136. https://doi.org/10.1016/j.ijimpeng.2013.11.012
  21. Reddy, J.N. (2006), Theory and Analysis of Elastic Plates and Shells, CRC Press, London, UK.
  22. Reddy, B.G.V. and Sharma, K.V. (2014), "Deformation and impact energy absorption of cellular sandwich panels", Mater. Des., 61, 217-227. https://doi.org/10.1016/j.matdes.2014.04.047
  23. Schwarts-Givli, H., Rabinovitch, O. and Frostig, Y. (2007), "Highorder nonlinear contact effects in the dynamic behavior of delaminated sandwich panels with a flexible core", Int. J. Solids Struct., 44(1), 77-99. https://doi.org/10.1016/j.ijsolstr.2006.04.016
  24. Sohel, K.M.A., Richard Liew, J.Y., Alwis, W.A.M. and Paramasivam, P. (2003), "Experimental investigation of lowvelocity impact characteristics of steel-concrete-steel sandwich beams", Steel Compos. Struct., Int. J., 3(4), 289-306. https://doi.org/10.12989/scs.2003.3.4.289
  25. Stocchi, A., Colabella, L., Cisilino, A. and Alvarez, V. (2014), "Manufacturing and testing of a sandwich panel honeycomb core reinforced with natural-fiber fabrics", Mater. Des., 55, 394-403. https://doi.org/10.1016/j.matdes.2013.09.054
  26. St-Pierre, L., Deshpande, V.S. and Fleck, N.A. (2015), "The low velocity impact response of sandwich beams with a corrugated core or a Y-frame core", Int. J. Mech. Sci., 91, 71-80. https://doi.org/10.1016/j.ijmecsci.2014.02.014
  27. Upadhyay, A.K. and Shukla, K.K. (2013), "Non-linear static and dynamic analysis of skew sandwich plates", Compos. Struct., 105, 141-148. https://doi.org/10.1016/j.compstruct.2013.05.007
  28. Yan, C. and Song, X. (2016), "Effects of foam core density and face-sheet thickness on the mechanical properties of aluminum foam sandwich", Steel Compos. Struct., Int. J., 21(5), 1145-1156. https://doi.org/10.12989/scs.2016.21.5.1145
  29. Yang, M. and Qiao, P. (2005), "Higher-order impact modeling of sandwich structures with flexible core", Int. J. Solids Struct., 42(20), 5460-5490. https://doi.org/10.1016/j.ijsolstr.2005.02.037
  30. Yang, M. and Qiao, P. (2007), "Impact and damage prediction of sandwich beams with flexible core considering arbitrary boundary effects", J. Sandw. Struct. Mater., 9(5), 411-444. https://doi.org/10.1177/1099636207067135
  31. Zenkert, D. (1995), An Introduction to Sandwich Construction, Engineering Materials Advisory Services, New York, NY, USA.

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