Abstract
The propagation of layer-wise crushing bands in cellular materials under dynamic impact can be described by the plastic shock wave model. A cell-based finite element model of irregular aluminum honeycomb is constructed to carry out several constant-velocity compression tests. The shock wave speed is obtained by the one-dimensional stress distribution in the specimen along the loading direction. The relation between the shock wave speed and impact velocity is obtained and analyzed. It is found that the relation tends to be linear with the increase of the impact velocity. But the shock wave speed tends to be a constant value with the decrease of the impact velocity. A piecewise model is proposed to describe the dynamic stress-strain relation of aluminum honeycombs based on a piecewise hypothesis of the relation between the shock wave speed and the impact velocity together with the one-dimensional shock wave theory. Different stress-strain relations corresponding to different impact velocity regions and different deformation modes are obtained.
Highlights
Cellular materials have a typical characteristic of deformation localization under dynamic crushing due to the complexity of microstructures
Liu et al [3] observed the layer-wise propagation of deformation crushing bands in the dynamic impact of honeycomb and proposed three kinds of deformation modes, namely homogeneous mode, transitional mode and shock mode
Liao el al. [5] proposed a local strain field calculation method to characterize the propagation of one-dimensional shock wave in the aluminum honeycomb and obtained shock wave speed
Summary
Cellular materials have a typical characteristic of deformation localization under dynamic crushing due to the complexity of microstructures. [5] proposed a local strain field calculation method to characterize the propagation of one-dimensional shock wave in the aluminum honeycomb and obtained shock wave speed. The dynamic stress-strain states of cellular materials were obtained experimentally and numerically by Barnes et al [12] and Sun et al [13] respectively. These stress-strain states are obtained under high impact velocity (shock mode), the stress-strain state under moderate velocity (transitional mode) is still not very clear. The stress distribution of honeycomb under constant-velocity compression is studied numerically and the behaviour of shock wave propagation under moderate-velocity impact is analysed
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