Acta Mechanica Sinica

, Volume 34, Issue 5, pp 925–935 | Cite as

Theoretical prediction on corrugated sandwich panels under bending loads

  • Chengfu Shu
  • Shujuan HouEmail author
Research Paper


In this paper, an aluminum corrugated sandwich panel with triangular core under bending loads was investigated. Firstly, the equivalent material parameters of the triangular corrugated core layer, which could be considered as an orthotropic panel, were obtained by using Castigliano’s theorem and equivalent homogeneous model. Secondly, contributions of the corrugated core layer and two face panels were both considered to compute the equivalent material parameters of the whole structure through the classical lamination theory, and these equivalent material parameters were compared with finite element analysis solutions. Then, based on the Mindlin orthotropic plate theory, this study obtain the closed-form solutions of the displacement for a corrugated sandwich panel under bending loads in specified boundary conditions, and parameters study and comparison by the finite element method were executed simultaneously.


Corrugated sandwich panel Equivalent material parameter Theoretical prediction Bending loads 



The financial support from the National Natural Science Foundation of China (Grant 11572122) is acknowledged. Meanwhile, the Scientific Research Foundation of Huaihua University (Grant HHUY2017-02), 111 Project (Grant B16015), Stake Key Laboratory of Mechanical Structural Strength and Vibration (Grant SV2017-KF-20) and Joint Centre for Intelligent New Energy Vehicle are also acknowledged.


  1. 1.
    Wittrick, W.H.: On the local buckling of truss-type corrugated-core sandwich panels in compression. Int. J. Mech. Sci. 14, 263–264 (1972)CrossRefGoogle Scholar
  2. 2.
    Liu, T., Deng, Z.C., Lu, T.J.: Structural modeling of sandwich structures with lightweight cellular cores. Acta Mech. Sin. 23, 545–559 (2007)CrossRefGoogle Scholar
  3. 3.
    Magnucka, E., Walczak, Z., Jasion, P., et al.: Buckling and vibrations of metal sandwich beams with trapezoidal corrugated cores—the lengthwise corrugated main core. Thin Wall Struct. 112, 78–82 (2017)CrossRefGoogle Scholar
  4. 4.
    Hou, S.J., Zhao, S.Y., Ren, L.L., et al.: Crashworthiness optimization of corrugated sandwich panels. Mater Des. 51, 1071–1084 (2013)CrossRefGoogle Scholar
  5. 5.
    Liu, T.Q., Hou, S.J., Nguyen, X., et al.: Energy absorption characteristics of sandwich structures with composite sheets and bio coconut core. Compos. B. Eng. 114, 328–338 (2017)CrossRefGoogle Scholar
  6. 6.
    Biagi, R., Bart-Smith, H.: In-plane column response of metallic corrugated core sandwich panels. Int. J. Solids Struct. 49, 3901–3914 (2012)CrossRefGoogle Scholar
  7. 7.
    Rejab, M.R.M., Cantwell, W.J.: The mechanical behaviour of corrugated-core sandwich panels. Compos. Part B Eng. 47, 267–277 (2013)CrossRefGoogle Scholar
  8. 8.
    Yan, L.L., Han, B., Yu, B., et al.: Three-point bending of sandwich beams with aluminum foam-filled corrugated cores. Mater. Des. 60, 510–519 (2014)CrossRefGoogle Scholar
  9. 9.
    Chang, W.S., Ventsel, E., Krauthammer, T., et al.: Bending behavior of corrugated-core sandwich plates. Compos. Struct. 70, 81–89 (2005)CrossRefGoogle Scholar
  10. 10.
    Rubino, V., Deshpande, V.S., Fleck, N.A.: The three-point bending of Y-frame and corrugated core sandwich beams. Int. J. Mech. Sci. 52, 485–494 (2010)CrossRefGoogle Scholar
  11. 11.
    Liu, C., Zhang, Y.X., Ye, L.: High velocity impact responses of sandwich panels with metal fibre laminate skins and aluminium foam core. Int. J. Impact Eng. 100, 139–153 (2016)CrossRefGoogle Scholar
  12. 12.
    Qin, Q.H., Xiang, C.P., Zhang, J.X., et al.: On low-velocity impact response of metal foam core sandwich beam: a dual beam model. Compos. Struct. 176, 1039–1049 (2017)CrossRefGoogle Scholar
  13. 13.
    Zhang, J.X., Qin, Q.H., Xiang, C.P., et al.: Dynamic response of slender multilayer sandwich beams with metal foam cores subjected to low-velocity impact. Compos. Struct. 153, 614–623 (2016)CrossRefGoogle Scholar
  14. 14.
    Hou, S.J., Shu, C.F., Zhao, S.Y., et al.: Experimental and numerical studies on multi-layered corrugated sandwich panels under crushing loading. Compos. Struct. 126, 371–385 (2015)CrossRefGoogle Scholar
  15. 15.
    Yang, X.F., Ma, J.X., Shi, Y.L., et al.: Crashworthiness investigation of the bio-inspired bi-directionally corrugated core sandwich panel under quasi-static crushing load. Mater. Des. 135, 275–290 (2017)CrossRefGoogle Scholar
  16. 16.
    Liang, C.C., Yang, M.F., Wu, P.W.: Optimum design of metallic corrugated core sandwich panels subjected to blast loads. Ocean Eng. 28, 825–861 (2001)CrossRefGoogle Scholar
  17. 17.
    Zhang, P., Liu, J., Cheng, Y.S., et al.: Dynamic response of metallic trapezoidal corrugated-core sandwich panels subjected to air blast loading: an experimental study. Mater. Des. 65, 221–230 (2015)CrossRefGoogle Scholar
  18. 18.
    Yazici, M., Wright, J., Bertin, D., et al.: Experimental and numerical study of foam filled corrugated core steel sandwich structures subjected to blast loading. Compos. Struct. 110, 98–109 (2014)CrossRefGoogle Scholar
  19. 19.
    Libove, C., Batdorf, S.B.: A general small-deflection theory for flat sandwich plates. Tech. Rep. Arch. Image Lib. 899 (1948)Google Scholar
  20. 20.
    Libove, C., Hubka, R.E.: Elastic constants for corrugated-core sandwich plates. J. Struct. Eng. ASCE 122, 958–966 (1951)Google Scholar
  21. 21.
    Briassoulis, D.: Equivalent orthotropic properties of corrugated sheets. Comput. Struct. 23, 129–138 (1986)CrossRefGoogle Scholar
  22. 22.
    Bartolozzi, G., Pierini, M., Orrenius, U., et al.: An equivalent material formulation for sinusoidal corrugated cores of structural sandwich panels. Compos. Struct. 100, 173–185 (2013)CrossRefGoogle Scholar
  23. 23.
    Bartolozzi, G., Baldanzini, N., Pierini, M.: Equivalent properties for corrugated cores of sandwich structures: a general analytical method. Compos. Struct. 108, 736–746 (2014)CrossRefGoogle Scholar
  24. 24.
    Xia, Y., Friswell, M.I., Flores, E.I.: Equivalent models of corrugated panels. Int. J. Solids Struct. 49, 1453–1462 (2012)CrossRefGoogle Scholar
  25. 25.
    Ye, Z., Berdichevsky, V.L., Yu, W.: An equivalent classical plate model of corrugated structures. Int. J. Solids Struct. 51, 2073–2083 (2014)CrossRefGoogle Scholar
  26. 26.
    Romanoff, J., Varsta, P.: Bending response of web-core sandwich plates. Compos. Struct. 81, 292–302 (2007)CrossRefGoogle Scholar
  27. 27.
    Åslund, P.E., Hägglund, R., Carlsson, L.A., et al.: An analysis of strain localization and formation of face wrinkles in edge-wise loaded corrugated sandwich panels using a continuum damage model. Int. J. Solids Struct. 56–57, 248–257 (2014)Google Scholar
  28. 28.
    Castigliano, C.A.: Intorno ai sistemi elastici. Thesis, University of Turin (1873)Google Scholar
  29. 29.
    Nilson, A.H., Ammar, A.R.: Finite element analysis of metal deck shear diaphragms. J. Struct. Div. 100, 711–726 (1974)Google Scholar
  30. 30.
    Mindlin, R.D.: Influence of rotatory inertia and shear on flexural motions of isotropic elastic plates. J. Appl. Mech. 18, 31–38 (1951)zbMATHGoogle Scholar

Copyright information

© The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.College of Mechanical and Optoelectronics PhysicsHuaihua UniversityHuaihuaChina
  2. 2.State Key Laboratory of Advanced Design and Manufacturing for Vehicle BodyHunan UniversityChangshaChina
  3. 3.College of Mechanical and Vehicle EngineeringHunan UniversityChangshaChina

Personalised recommendations