Keywords
sandwich plates
auxetic cellular material
cellular core
auxetic cellular material
cellular core
How to Cite
Janus-Michalska, M., & Jasińska, D. (1). Comparative study of bending stiffness of sandwich plates with cellular cores. Advances in Mechanical and Materials Engineering, 34(295 (2), 203-210. https://doi.org/10.7862/rm.2017.17
Abstract
This paper presents numerical simulation of a sandwich plate bending. Two types of plates are considered: with a cellular honeycomb core and with the cellular auxetic core. Finite element method (FEM) calculations are performed by means of ABAQUS system for determination of plates bending stiffness. Three methods are presented. The first one, numerically expensive, is based on detailed modelling of cellular core structure, the second applies laminated plate theory with an equivalent core stiffness, the third applies theory of composite beams. The results show limitations of applicability of abovementioned models to stiffness modelling. The influence of core lattice geometry parameters on plate stiffness is studied.
References
1. Alderson A., Alderson K.L.: Auxetic materials, Proc.Institution of Mechanical Engineers, Part G, J. Aerospace Eng., Special Issue Paper 2007, pp. 565-575.
2. Burton W.S., Noor A.K.: Assesment of continuum models for sandwich panel honeycomb cores, Comput. Methods Appl. Mech. Eng., 145 (1999) 341-360.
3. Greaves G.N., Greer A.L., Lakes R.S., Rouxel T.: Poisson’s ratio and modern materials, Modern Materials, 24 October 2011, DOI: 10.1038 NMAT 3134.
4. Hohe J., Becker W.: A mechanical model for two-dimensional cellular sandwich cores with general geometry in sandwich construction, Comput. Materials Sci., 19 (2000) 108-115.
5. Hohe J., Becker W.: A refined analysis of the effective elasticity tensor for general cellular sandwich cores, Int. J. Solids Structure, 38 (2001) 3689-3717.
6. Hohe J., Becker W.: An energetic homogenization procedure for the elastic properties of general cellular sandwich cores, Composites Part B, 32 (2001) 299-312.
7. Hohe J.: A direct homogenization approach for determination of the stiffness matrix for microheterogeneous plates with application to sandwich panels. Composites Part B, 34 (2003) 615-626.
8. Janus-Michalska M.: Micromechanical model of auxetic cellular materials, J. Theor. Applied Mech., 47 (2009) 5-22.
9. Kollar L.P., Springer G.S.: Mechanics of Composite Structures, Cambridge University Press, 2003.
10. Lebee A., Sab K.: Transverse shear stiffness of a chevron folded core used in sandwich construction, Int. J. Solids Structures, 47 (2010) 2620-2629.
11. Lebee A., Sab K.: Homogenization of thick plates: Application of the bending gradient plate theory to a folded core sandwich panel, Int. J. Solids Structures, 49 (2012) 2778-2792.
12. Meraghni F., Desrumaux F., Benzeggagh M.L., Mechanical behaviour of cellular core for structural sandwich panels, Composites: Part A, 30 (1999) 767-779.
13. Shi G., Pin T., T., Equivalent Transverse Shear Stiffness of Honeycomb Cores, Int. J. Solids Structures, 32 (1995) 1383-1392.
2. Burton W.S., Noor A.K.: Assesment of continuum models for sandwich panel honeycomb cores, Comput. Methods Appl. Mech. Eng., 145 (1999) 341-360.
3. Greaves G.N., Greer A.L., Lakes R.S., Rouxel T.: Poisson’s ratio and modern materials, Modern Materials, 24 October 2011, DOI: 10.1038 NMAT 3134.
4. Hohe J., Becker W.: A mechanical model for two-dimensional cellular sandwich cores with general geometry in sandwich construction, Comput. Materials Sci., 19 (2000) 108-115.
5. Hohe J., Becker W.: A refined analysis of the effective elasticity tensor for general cellular sandwich cores, Int. J. Solids Structure, 38 (2001) 3689-3717.
6. Hohe J., Becker W.: An energetic homogenization procedure for the elastic properties of general cellular sandwich cores, Composites Part B, 32 (2001) 299-312.
7. Hohe J.: A direct homogenization approach for determination of the stiffness matrix for microheterogeneous plates with application to sandwich panels. Composites Part B, 34 (2003) 615-626.
8. Janus-Michalska M.: Micromechanical model of auxetic cellular materials, J. Theor. Applied Mech., 47 (2009) 5-22.
9. Kollar L.P., Springer G.S.: Mechanics of Composite Structures, Cambridge University Press, 2003.
10. Lebee A., Sab K.: Transverse shear stiffness of a chevron folded core used in sandwich construction, Int. J. Solids Structures, 47 (2010) 2620-2629.
11. Lebee A., Sab K.: Homogenization of thick plates: Application of the bending gradient plate theory to a folded core sandwich panel, Int. J. Solids Structures, 49 (2012) 2778-2792.
12. Meraghni F., Desrumaux F., Benzeggagh M.L., Mechanical behaviour of cellular core for structural sandwich panels, Composites: Part A, 30 (1999) 767-779.
13. Shi G., Pin T., T., Equivalent Transverse Shear Stiffness of Honeycomb Cores, Int. J. Solids Structures, 32 (1995) 1383-1392.