Abstract
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.
Similar content being viewed by others
References
Wittrick, W.H.: On the local buckling of truss-type corrugated-core sandwich panels in compression. Int. J. Mech. Sci. 14, 263–264 (1972)
Liu, T., Deng, Z.C., Lu, T.J.: Structural modeling of sandwich structures with lightweight cellular cores. Acta Mech. Sin. 23, 545–559 (2007)
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)
Hou, S.J., Zhao, S.Y., Ren, L.L., et al.: Crashworthiness optimization of corrugated sandwich panels. Mater Des. 51, 1071–1084 (2013)
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)
Biagi, R., Bart-Smith, H.: In-plane column response of metallic corrugated core sandwich panels. Int. J. Solids Struct. 49, 3901–3914 (2012)
Rejab, M.R.M., Cantwell, W.J.: The mechanical behaviour of corrugated-core sandwich panels. Compos. Part B Eng. 47, 267–277 (2013)
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)
Chang, W.S., Ventsel, E., Krauthammer, T., et al.: Bending behavior of corrugated-core sandwich plates. Compos. Struct. 70, 81–89 (2005)
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)
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)
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)
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)
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)
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)
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)
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)
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)
Libove, C., Batdorf, S.B.: A general small-deflection theory for flat sandwich plates. Tech. Rep. Arch. Image Lib. 899 (1948)
Libove, C., Hubka, R.E.: Elastic constants for corrugated-core sandwich plates. J. Struct. Eng. ASCE 122, 958–966 (1951)
Briassoulis, D.: Equivalent orthotropic properties of corrugated sheets. Comput. Struct. 23, 129–138 (1986)
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)
Bartolozzi, G., Baldanzini, N., Pierini, M.: Equivalent properties for corrugated cores of sandwich structures: a general analytical method. Compos. Struct. 108, 736–746 (2014)
Xia, Y., Friswell, M.I., Flores, E.I.: Equivalent models of corrugated panels. Int. J. Solids Struct. 49, 1453–1462 (2012)
Ye, Z., Berdichevsky, V.L., Yu, W.: An equivalent classical plate model of corrugated structures. Int. J. Solids Struct. 51, 2073–2083 (2014)
Romanoff, J., Varsta, P.: Bending response of web-core sandwich plates. Compos. Struct. 81, 292–302 (2007)
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)
Castigliano, C.A.: Intorno ai sistemi elastici. Thesis, University of Turin (1873)
Nilson, A.H., Ammar, A.R.: Finite element analysis of metal deck shear diaphragms. J. Struct. Div. 100, 711–726 (1974)
Mindlin, R.D.: Influence of rotatory inertia and shear on flexural motions of isotropic elastic plates. J. Appl. Mech. 18, 31–38 (1951)
Acknowledgements
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.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Shu, C., Hou, S. Theoretical prediction on corrugated sandwich panels under bending loads. Acta Mech. Sin. 34, 925–935 (2018). https://doi.org/10.1007/s10409-018-0767-y
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10409-018-0767-y