Abstract
Truss-core sandwich plates have received much attention in virtue of the high values of strength-to-weight and stiffness-to-weight as well as the great ability of impulse-resistance recently. It is necessary to study the stability of sandwich panels under the influence of the thermal load. However, the sandwich plates are such complex three-dimensional (3D) systems that direct analytical solutions do not exist, and the finite element method (FEM) cannot represent the relationship between structural parameters and mechanical properties well. In this paper, an equivalent homogeneous continuous plate is idealized by obtaining the effective bending and transverse shear stiffness based on the characteristics of periodically distributed unit cells. The first order shear deformation theory for plates is used to derive the stability equation. The buckling temperature of a simply supported sandwich plate is given and verified by the FEM. The effect of related parameters on mechanical properties is investigated. The geometric parameters of the unit cell are optimized to attain the maximum buckling temperature. It is shown that the optimized sandwich plate can improve the resistance to thermal buckling significantly.
Similar content being viewed by others
References
Johnson, A. F. and Sims, G. D. Mechanical-properties and design of sandwich materials. Composites, 17(4), 321–328 (1986)
Pahr, D. H. and Rammerstorfer, F. G. Buckling of honeycomb sandwiches: periodic finite element considerations. Computer Modeling in Engineering & Sciences, 12(3), 229–241 (2006)
Fleck, N. A. and Deshpande, V. S. The resistance of clamped sandwich beams to shock loading. Journal of Applied Mechanics, 47, 545–569 (2004)
Tapp, C., Hansel, W., Mittelstedt, C., and Becker, W. Weight-minimization of sandwich structures by a heuristic topology optimization algorithm. Computer Modeling in Engineering & Sciences, 5(6), 563–573 (2004)
Deshpande, V. S. and Fleck, N. A. Collapse of truss-core sandwich beams in 3-point bending. International Journal of Solids and Structures, 38(36–37), 6275–6305 (2001)
Zhang, Y. H., Fan, H. L., and Fang, D. N. Constitutive relations and failure criterion of planar lattice composites. Composites Science and Technology, 68, 3299–3304 (2008)
Lu, T. J., Valdevit, L., and Evans, A. G. Active cooling by metallic sandwich structures with periodic cores. Progress in Materials Science, 50(7), 789–815 (2005)
Kim, T., Zhao, C. Y., Lu, T. J., and Hodson, H. P. Convective heat dissipation with lattice-frame materials. Mechanics of Materials, 36, 767–780 (2004)
Kim, T., Hodson, H. P., and Lu, T. J. Fluid flow and endwall heat transfer characteristics of lattice-frame materials. International Journal of Heat and Mass Transfer, 47, 1129–1140 (2004)
Vinson, J. R. The Behavior of Sandwich Structures of Isotropic and Composite Materials, Technomic Publishing Company Incorporated, Pennsylvania (1999)
Hiroyuki, M. Thermal buckling of angle-ply laminated composite and sandwich plates according to a global higher-order deformation theory. Composite Structures, 72, 177–192 (2006)
Pradeep, V. and Ganesan, N. Buckling and vibration of rectangular composite viscoelastic sandwich plates under thermal loads. Composite Structures, 77, 419–429 (2007)
Shariat, B. A. and Eslami, M. R. Buckling of thick functionally graded plates under mechanical and thermal loads. Composite Structures, 78, 433–439 (2007)
Javaheri, R. and Eslami, M. R. Thermal buckling of functionally graded plates. AIAA Journal, 40(1), 162–169 (2002)
Mindlin, R. D. Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates. Journal of Applied Mechanics, 18, 31–38 (1951)
Wallach, J. C. and Gibson, L. J. Mechanical behavior of a three-dimensional truss material. International Journal of Solids and Structures, 38(40–41), 7181–7196 (2001)
Meyers, C. A. and Hyer, M. W. Thermal buckling and postbuckling of symmetrically laminated composite plates. Journal of Thermal Stresses, 14, 519–540 (1991)
Author information
Authors and Affiliations
Corresponding author
Additional information
Project supported by the National Natural Science Foundation of China (No. 91116008)
Rights and permissions
About this article
Cite this article
Chen, Jw., Liu, Yq., Liu, W. et al. Thermal buckling analysis of truss-core sandwich plates. Appl. Math. Mech.-Engl. Ed. 34, 1177–1186 (2013). https://doi.org/10.1007/s10483-013-1737-9
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10483-013-1737-9