ABSTRACT
Dynamics Research Group, The University of Sheffield, Mappin Building., Sheffield, SI 3JD, UK
G R Tomlinson
Dynamics Research Group, The University of Sheffield, Mappin Building., Sheffield, SI 3JD, UK
Abstract. In this paper the static and dynamic performances of sandwich structures with in-plane negative Poisson’s ratio core are investigated from an analytical point of view. The cellular material theory is applied to calculate the orthotropic mechanical properties of re-entrant cell honeycomb cores which shows negative Poisson’s ratio values. This special geometrical layout of the cells allows an higher out-of-plane shear modulus compared to the one of regular honeycombs. The laminate orthotropic plate theory with shear correction factors is applied in order to describe the static and dynamic behaviour of symmetric sandwich plates with different core to sheet thickness ratios. Comparisons are made with analogous structures with regular honeycomb. The maximum deflections due to uniform pressure and buckling loads are enhanced, while the natural frequencies show a slight enhancing for some parameters of the cells.
