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Higher order impact analysis of sandwich panels with functionally graded flexible cores

  • Fard, K. Malekzadeh (Department of Structural Analysis and Simulation, Space Research Institute, Malek Ashtar University of Technology)
  • Received : 2013.03.31
  • Accepted : 2013.12.15
  • Published : 2014.04.25

Abstract

This study deals with dynamic model of composite sandwich panels with functionally graded flexible cores under low velocity impacts of multiple large or small masses using a new improved higher order sandwich panel theory (IHSAPT). In-plane stresses were considered for the functionally graded core and face sheets. The formulation was based on the first order shear deformation theory for the composite face sheets and polynomial description of the displacement fields in the core that was based on the second Frostig's model. Fully dynamic effects of the functionally graded core and face-sheets were considered in this study. Impacts were assumed to occur simultaneously and normally over the top and/or bottom of the face-sheets with arbitrary different masses and initial velocities. The contact forces between the panel and impactors were treated as internal forces of the system. Nonlinear contact stiffness was linearized with a newly presented improved analytical method in this paper. The results were validated by comparing the analytical, numerical and experimental results published in the latest literature.

Keywords

References

  1. Abrate, S. (1998), Impact on Composite Structures, Cambridge University Press.
  2. Anderson, T.A. (2005), "An investigation of SDOF models for large mass impact on sandwich composites", Comp.: Part B, 36(2), 135-142. https://doi.org/10.1016/j.compositesb.2004.05.002
  3. Anderson, T.A. and Madenci, E. (2000), "Experimental investigation of low-velocity impact characteristics of sandwich composites", J. Comp. Struct., 50(3), 239-247. https://doi.org/10.1016/S0263-8223(00)00098-2
  4. Apetre, N.A., Sankar, B.V. and Venkataraman, S. (2002), "Indentation of a sandwich beam with functionally graded core", Proceedings of the 43rd AIAA Structures, Structural Dynamics and Matterials Conference, AIAA Paper no. 2002-1683, Denver, CO, USA.
  5. Bao, G. and Wang, L. (1995), "Multiple cracking in functionally graded ceramic/metal coatings", Int. J. Solids and Struct., 32(19), 2853-2871. https://doi.org/10.1016/0020-7683(94)00267-Z
  6. Bernard, M.L. and Lagace, P.A. (1989), "Impact resistance of composite sandwich plates", J. Reinf. Plastics and Comp., 8(5), 432-445. https://doi.org/10.1177/073168448900800502
  7. Caprino, G. and Teti, R. (1994), "Impact and post-impact behavior of foam core sandwich structures", J. Comp. Struct., 29(1), 47-55. https://doi.org/10.1016/0263-8223(94)90035-3
  8. Choi, I.H. and Hong, C.S. (1994), "New approach for simple prediction of impact force history on composite laminates", AIAA J., 32(10), 2067-2072. https://doi.org/10.2514/3.12253
  9. Choi, I.H. and Lim, C.H. (2004), "Low-velocity impact analysis of composite laminates using linearized contact law", Comp. Struct., 66(1-4), 125-132. https://doi.org/10.1016/j.compstruct.2004.04.030
  10. Christoforou, A.P. and Swanson, S.R. (1991), "Analysis of impact response in composite plates", Int. J. Solid Struct., 27(2), 161-170. https://doi.org/10.1016/0020-7683(91)90226-6
  11. Chung, Y.L. and Chi, S.H. (2001), "The residual stress of functionally graded materials", J. Chinese Inst. Civil Hydraulic Eng., 13, 1-9.
  12. Dassault System's Simulia Corp. (2008), The ABAQUS 6.8-1 user's manual, USA.
  13. Delale, F. and Erdogan, F. (1983), "The crack problem for a non-homogeneous plane", ASME J. App. Mech., 50(3), 609-614. https://doi.org/10.1115/1.3167098
  14. Frostig, Y. (1998), "Buckling of sandwich plates with a flexible core: high-order theory", Int. J. Solids Struct., 35(3-4), 183-204. https://doi.org/10.1016/S0020-7683(97)00078-4
  15. Frostig, Y. and Baruch, M. (1994), "Free vibrations of sandwich beams with a transversely flexible core: A high order approach", J. Sound Vib., 176(2), 195-208. https://doi.org/10.1006/jsvi.1994.1368
  16. Frostig, Y. and Thomsen, O.T. (2004), "High-order free vibration of sandwich panels with a flexible core", Int. J. Solids Struct., 41(5-6), 1697-1724. https://doi.org/10.1016/j.ijsolstr.2003.09.051
  17. Gong, S.W. and Lam, K.Y. (2000), "Effects of structural damping and stiffness on impact response of layered structures", AIAA J., 38(9), 1730-1735. https://doi.org/10.2514/2.1161
  18. Gong, S.W., Lam, K.Y. and Reddy, J.N. (1999), "The elastic response of functionally graded cylindrical shells to low-velocity impact", Int. J. Impact Eng., 22(4), 397-417. https://doi.org/10.1016/S0734-743X(98)00058-X
  19. Hoo Fatt, M.S. and Park, K.S. (2001a), "Dynamic models for low-velocity impact damage of composite sandwich panels - Part A: Deformation", J. Comp. Struct., 52(3-4), 335-351. https://doi.org/10.1016/S0263-8223(01)00026-5
  20. Hoo Fatt, M.S. and Park, K.S. (2001b), " Dynamic models for low-velocity impact damage of composite sandwich panels - Part B: Damage initiation", J. Comp. Struct., 52(3-4), 353-364. https://doi.org/10.1016/S0263-8223(01)00045-9
  21. Khalili, M.R., Malekzadeh, K. and Mittal, R.K. (2005), "A new approach in static and dynamic analysis of composite plates with different boundary conditions", J. Compos. Struct., 69(2), 149-155. https://doi.org/10.1016/j.compstruct.2004.06.006
  22. Khalili, M.R., Malekzadeh, K. and Mittal, R.K. (2007), "Effect and physical and geometrical parameters on transverse low-velocity impact response of sandwich panels with a transversely flexible core", J. Comp. Struct., 77(4), 430-443. https://doi.org/10.1016/j.compstruct.2005.07.016
  23. Khalili, S.M.R., Soroush, M., Davar, A. and Rahmani, O. (2011), "Finite element modeling of low-velocity impact on laminated composite plates and cylindrical shells", Comp. Struct., 93(5), 1363-1375. https://doi.org/10.1016/j.compstruct.2010.10.003
  24. Kistler, L.S. and Waas, A.M. (1999), "On the response of curved laminated panels subjected to transverse impact loads", Int. J. Solids Struct., 36(9), 1311-1327. https://doi.org/10.1016/S0020-7683(98)00005-5
  25. Lal, K.M. (1983), "Residual strength assessment of low-velocity impact damage of graphite epoxy laminates", J. Reinf. Plast. Compos., 2(4), 226-238. https://doi.org/10.1177/073168448300200402
  26. Malekzadeh, K., Khalili, M.R. and Mittal, R.K. (2005a), "Prediction of low-velocity impact response of composite sandwich panels using new three degrees-of-freedom model", The 13th International Conference of Mechanical Engineering, Esfahan University of Technology, Esfahan, Iran, Paper code: 24.1418505.
  27. Malekzadeh, K., Khalili, M.R. and Mittal, R.K. (2005b), "Local and global damped vibrations of plates with a viscoelastic soft flexible core: An improved high-order approach", J. Sandwich Struct. Mat., 7(5), 431-456. https://doi.org/10.1177/1099636205053748
  28. Malekzadeh, K., Khalili, M.R. and Mittal, R.K. (2007), "Response of composite sandwich panels with transversely flexible core to low-velocity transverse impact: A new dynamic model", Int. J. Impact Eng., 34(3), 522-543. https://doi.org/10.1016/j.ijimpeng.2005.10.002
  29. 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
  30. Mijia, Y. and Pizhong, Q. (2005), "Higher-order impact modeling of sandwich structures with flexible core", Int. J. Solids Struct., 42(10), 5460-5490. https://doi.org/10.1016/j.ijsolstr.2005.02.037
  31. Mittal, R.K. (1987), "A simplified analysis of the effects of transverse shear on the response of elastic plates to impact loading", Int. J. Solids. Struct., 23(8), 191-203.
  32. Olsson, R. (2000), "Mass criterion for wave controlled impact response of composite plates", Comp., Part A, 31(8), 879-887. https://doi.org/10.1016/S1359-835X(00)00020-8
  33. Olsson, R. (2001), "Analytical prediction of large mass impact damage in composite laminates", J. Comp., Part A, 32(9), 1207-1215. https://doi.org/10.1016/S1359-835X(01)00073-2
  34. Prakash, T., Singha, M.K. and Ganapathi, M. (2008), "Thermal post buckling analysis of FGM skew plates ", Eng. Struct., 30(1), 22-32. https://doi.org/10.1016/j.engstruct.2007.02.012
  35. Reddy, J.N. (1997), Mechanics of Laminated Composite Plates, Theory and Analysis, CRC Press, FL, USA, Chapter 5.
  36. Reddy, J.N. (2003), Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, CRC Press, FL, USA.
  37. Shivakumar, K.N., Elber, W. and Illg, W. (1984), "Prediction of low-velocity impact damage in composite laminates", AIAA J., 23(5), 442-449.
  38. Sjoblom, P.O., Hartness, J.Y. and Cordell, T.M. (1988), "On low-velocity impact testing of composite materials", J. Compos. Mater., 22(1), 30-50. https://doi.org/10.1177/002199838802200103
  39. Sokolinsky, V., Steven, R. and Frostig, Y. (2000), "Boundary condition effects in free vibrations of higher-order soft sandwich beams", AIAA J., 40(6), 1220-1227.
  40. Sun, C.T. and Chattopadhyay, S. (1975), "Dynamic response of anisotropic laminated plates under initial stress to impact of a mass", J. Appl. Mech., 42(3), 693-698. https://doi.org/10.1115/1.3423664
  41. Sun, C.T. and Sankar, B.V. (1985), "Smooth indentation of an initially stressed orthotropic beam", Int. J. Solids Struct., 21(2), 161-176. https://doi.org/10.1016/0020-7683(85)90033-2
  42. Swanson, S.R., Smith, N.L. and Qian, Y. (1991), "Analytical and experimental strain response in impact of composite cylinders", Compos. Struct., 18(2), 95-108. https://doi.org/10.1016/0263-8223(91)90045-Z
  43. Tarfaoui, M., Gning, P.B. and Hamitouche, L. (2008), "Dynamic response and damage modeling of glass/epoxy tubular structures: numerical investigation", Comp., Part A, 39(1), 1-12.
  44. Yang, S.H. and Sun, C.T. (1981), "Indentation law for composite laminates", Am. Soc. Test. Mater., ASTM STP 787, 425-449.
  45. Willis, J.R. (1966), "Hertzian contact of anisotropic bodies", J. Mech. Phys. Solids, 14(3),163-176. https://doi.org/10.1016/0022-5096(66)90036-6

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