Acta Mechanica Solida Sinica

, Volume 26, Issue 3, pp 263–276 | Cite as

Influence of the Middle Weak Layer on the Impact Behavior of Laminated Structures

  • Dongfang Wang
  • Jialing Yang
  • Yuxin Sun


In this paper, a calculation model based on the subsection displacement theory and the large deflection analysis is developed to describe the dynamic response of isotropic laminated circular plates impacted by a soft body. The model takes into account the interlaminar shear effect induced by the middle weak layer. It is proved by numerical examples that the difference between the model developed in this paper and that based on the classical laminated theory mainly depends on three factors, the elastic modulus of the glue, the radius of the circular plate and the impact force.

Key Words

laminated glass interlaminar shear stress subsection displacement theory laminated circular plate 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Wang, Y.X., Design of Composite Structure. Beijing: Chemical Industry Press, 2001.Google Scholar
  2. 2.
    Whitney, J.M. and Sun, C.T., A higher-order theory for extensional motion of laminated composites. J Sound Vib, 1973, 30(1): 85–97.CrossRefGoogle Scholar
  3. 3.
    Reddy, J.N., A simple higher-order theory for laminated composite plates. J Appl Mech, 1984, 51(4): 745–752.CrossRefGoogle Scholar
  4. 4.
    Stein, M., Nonlinear theory for plates and shells including the effect of transverse shearing. AIAA J, 1986, 24(9): 1537–1544.CrossRefGoogle Scholar
  5. 5.
    Kwon, Y.W. and Akin, J.E., Analysis of layered composite plates using a higher-order deformation theory. Comput Struct, 1987, 27(5): 619–623.CrossRefGoogle Scholar
  6. 6.
    Fu, X.H., Chen, H.R. and Wang, Z.M., A refined higher-order theory and its finite element method for thick laminated plates. Acta Mater Compos Sin, 1992, 9(2): 39–46.Google Scholar
  7. 7.
    Chandra, R., Stemple, A.D. and Chopra, I., Thin-walled composite beams under bending, torsional and extensional loads. J Aircraft, 1990, 27(7): 619–636.CrossRefGoogle Scholar
  8. 8.
    Jeon, S.M., Cho, M.H. and Lee, I., Static and dynamic analysis of composite box beams using large deflection theory. Comput Struct, 1995, 57(4): 635–642.CrossRefGoogle Scholar
  9. 9.
    Wu, Y.P., Zhu, Y.L., Lai, Y.M. and Pan, W.D., Analysis of shear lag and shear deformation effects in laminated composite box beans under bending loads. Compos Struct, 2002, 55(2): 147–156.CrossRefGoogle Scholar
  10. 10.
    Vo, T.P. and Lee, J., Flexural-torsional behavior of thin-walled closed-section composite box beams. Eng Struct, 2007, 29(8): 1774–1782.CrossRefGoogle Scholar
  11. 11.
    Wu, Y.P., Wang, X.J., Su, Q. and Lin, X., A solution for laminated box beams under bending loads using the principle of complementary energy. Compos Struct, 2007, 79(3): 376–380.CrossRefGoogle Scholar
  12. 12.
    Vo, T.P. and Lee, J., Geometrically nonlinear analysis of thin-walled composite box beams. Comput Struct, 2009, 87(3–4): 236–245.CrossRefGoogle Scholar
  13. 13.
    Vo, T.P. and Lee, J., Interaction curves for vibration and bucking of thin-walled composite box beams under axial loads and end moments. Appl Math Models, 2010, 34(10): 3142–3157.CrossRefGoogle Scholar
  14. 14.
    Kim, C. and White, S.R., Analysis of thick hollow composite beams under general loading. Compos Struct, 1996, 34(3): 263–277.CrossRefGoogle Scholar
  15. 15.
    Kim, C. and White, S.R., Thick-walled composite beam theory including 3-D elastic effects and torsional warping. Int J Solids Struc, 1997, 34(31–32): 4237–4259.CrossRefGoogle Scholar
  16. 16.
    Li, X.Y. and Liu, D., Generalized laminated theories based on double superposition hypothesis. Int J Numer Methods Eng, 1997, 40(7): 1197–1212.CrossRefGoogle Scholar
  17. 17.
    Lee, L.J., Huang, K.Y. and Fann, Y.J., Dynamic response of composite sandwich plate impacted by a rigid ball. J Compos Mater, 1993, 27(13): 1238–1256.CrossRefGoogle Scholar
  18. 18.
    Tsai, C.Z., Wu, E. and Luo, B.H., Forward and inverse analysis for impact on sandwich panels. AIAA J, 1998, 36(11): 2130–2136.CrossRefGoogle Scholar
  19. 19.
    Yang, M.J. and Qiao, P.Z., Nonlinear impact analysis of fully backed composite sandwich structures. Compos Sci Tech, 2005, 65(3–4): 551–562.CrossRefGoogle Scholar
  20. 20.
    Liu, H., Chen, W.C. and Yang, J.L., Elastic-plastic dynamic response of fully backed sandwich plates under localized impulsive loading. Acta Mech Solida Sin, 2010, 23(4): 324–335.CrossRefGoogle Scholar
  21. 21.
    Ma, J.R., Zang, S.G. and Ding, L.M., Study of laminated glass mechanical model. J Aeronautic Mater, 1998, 18(3): 57–60.Google Scholar
  22. 22.
    Wang, D.F. and Yang, J.L., Analysis of the performance of a beam made of composite materials with a glue layer. Acta Aeronautica et Astronautica Sinica, 2012, 33(9): 1655–1663.Google Scholar
  23. 23.
    Wang, D.F. and Yang, J.L., The effect on the performance of laminated plates of weaker middle layer. Chinese Journal of Applied Mechanics, 2012, 29(5): 487–493.Google Scholar
  24. 24.
    Lee, L.H.N. and Ni, C.M., A minimum principle in dynamics of elastic-plastic continua at finite deformation. Arch Mech, 1973, 25(3): 457–468.zbMATHGoogle Scholar
  25. 25.
    Zhang, X., A Conservative and Precise Bird-strike Resistance Evaluation Method for Aircraft. Master Degree Thesis, Beijing: Beijing University of Aeronautics and Astronautics, 2012.Google Scholar

Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2013

Authors and Affiliations

  1. 1.The Solid Mechanics Research CenterBeijing University of Aeronautics and AstronauticsBeijingChina

Personalised recommendations