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Based on its structural features, Aluminum Foam Sandwich (AFS) panels were properly simplified to two-dimensional random models through C++ and ANSYS software in this paper. The apparent elastic property of AFS panels was studied through simulation under the circumstances of different relative density, pore size range or geometric imperfections. The obtained results showed that the microstructural deformation in AFS was caused during uniaxial compression, which leaded to the increase of apparent elastic modulus with the increase of relative density. It was also found that the apparent elastic modulus of AFS panels with non-homogeneous structure was the highest and the apparent elastic modulus of AFS panels with geometric imperfections was the lowest. Moreover, the pore size range almost had no effect on the slope of the elastic stage. However, the apparent elastic modulus showed great sensitivity to the geometric imperfections. In addition, the exponential relationship between the relative densities and the relative elastic modulus was fitted. The simulation results in this work were in agreement with those found in previous theoretical and experimental results reported in other literature, which confirmed the feasibility and rationality of two-dimensional random models.

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This paper has been retracted from Mater. Trans. by the authors request due to the following reason.Firstly, we made a preliminary estimate on the density (ρ 0 ) of AFS panels before the plastic wave because we did not fully understand the property of AFS panels, which made the calculation results according to the value of the density (ρ 0 ) of AFS panels, that was wrong in the paper. For example, the locking density (ρ 1 ) of AFS panels with relative density 0.3 in Table 2 were incorrect, according to the following formula:Especially the further research results (unpublished) in the subsequent study have con ict with the above-mentioned results in the work. Secondly, with the increase of loading rate, the stress of bottom of AFS panels increases in the process of compression. However, the impact stress of loading surface is only analyzed and it is not accurate for the explanation of the mechanism for the stress of bottom of AFS panels. In addition, under the loading rate 0.01 m/s, the stress-strain curve of AFS panels are stated in the paper. However, the corresponding mechanism cannot explain the stress-strain curve of AFS panels under the loading rate 0.01 m/s. All of these could mislead the readers. At last, the withdrawal is meaningful for the preciseness of our work, and it is helpful for the subsequent research of AFS panels. A two-dimensional finite element model of aluminum foam sandwich (AFS) panels was approximated by combing C++ and ANSYS/LS-DYNA software to represent the shapes of the cells and geometric distributions. Under different loading rates, the deformation behavior, shock wave propagation process, inertial effect and stress of the bottom of the model of AFS panels are discussed resulting from simulation. We found that plastic deformation in the model first occurs in a weak section in the quasi-static compression simulation, whereas the local densification is obvious during the high-speed impact process. The results also indicate that the speed of the plastic wave, locking density and locking strain increase respectively with increasing loading rate. In addition, under the loading rate 80 m/s, the model can be compressed after the plastic wave reaches the bottom of the model during the process of deformation due to the reflection of the plastic wave, whereas the plateau stress rises with an increase in the loading rate.