Elasticity Solution for Static Analysis of Sandwich Structures with Sinusoidal Corrugated Cores

Document Type : Original Research Paper


Mechanical Engineering Department, Bu-Ali Sina University, Hamadan, Iran.


Metal sandwich panels are three-dimensional structures widely used in industries mainly due to two distinct properties: low density and high strength. Although significant efforts have been made at research into corrugated sandwich panels, analytical solutions are still very few. This work wishes to present accurate analytical results of static analysis of corrugated sandwich panels. In order to determine equivalent properties of corrugated core in the thickness direction, energy method is used in conjunction with homogenization approach. Based on three-dimensional theory of elasticity, partial differential equations are reduced to ordinary differential equations by using the Fourier series. Analytical solutions for the stress and displacement fields are derived by using the state-space method in the thickness direction.
A detailed parametric study was conducted involving the dependency of out-of-plane properties on the corrugation geometrical parameters. Moreover, effects of these variables on the stress and displacement fields are discussed.


[1] C. Above, R.E. Hubka, Elastic constants for corrugated-core sandwich plates, NACA Tech. Washington D.C., (1951).
[2] D. Briassoulis, Equivalent orthotropic properties of corrugated sheets, Comput. Struct., Comput. Struct., 23 (1986) 129-138.
[3] W.S. Chang, E. Ventsel, T. Krauthammer, J. John, Bending behavior of corrugated-core sandwich plates, Compos. Struct. 70 (2005) 81-89.
[4] N. Buannic, P. Cartraud, T. Quesnel, Homogenization of corrugated core sandwich panels, Compos. Struct. 59 (2003) 299-312.
[5] Y. Xia, M.I. Friswell, E.I.S. Flores, Equivalent models of corrugated panels, Int. J. Solids. Struct. 49 (2012) 1453-1462.
[6] G. Bartolozzi, M. Pierini, U. Orrenius, N. Baldanzini, An equivalent material formulation for sinusoidal corrugated cores of structural sandwich panels, Compos. Struct. 100 (2013) 173-185.
[7] H. Mohammadi, S. Ziaei-Rad, I. Dayyani, An equivalent model for trapezoidal corrugated cores based on homogenization method, Compos. Struct. 131 (2015) 160-170.
[8] Z. Ye, V.L. Berdichevsky, W. Yu, An equivalent classical plate model of corrugated structures, Int. J. Solids. Struct. 51 (2014) 2073-2083.
[9] K.J. Park, K. Jung, Y.W. Kim, Evaluation of homogenized effective properties for corrugated composite panels, Compos. Struct. 140 (2016) 644-654.
[10] I. Dayyani, A.D. Shaw, E.I. Saavedra Flores, M.I. Friswell, The mechanics of composite corrugated structures: A review with applications in morphing aircraft, Compos. Struct. 133 (2015) 358-380.