%0 Journal Article
%T Random equilateral Kelvin open
%A Guangfa Gao
%A Minju Qi
%A Yongchi Li
%J Journal of Cellular Plastics
%@ 1530-7999
%D 2018
%R 10.1177/0021955X16670583
%X Representative volume elements of random equilateral Kelvin open-cell microstructures were modeled for the open-cell foam. We adopted the periodic boundary conditions developed in our previous research. The quasistatic compression properties of the representative volume elements in random Kelvin open-cell aluminum foam samples, both with different relative densities and different cross-sections of the beams in the structures were investigated. The results show that the features of the stress¨Cstrain curves in the representative volume elements with different relative densities and different cross-sections were similar, and the relationships between the yield strengths and relative densities of representative volume elements with four different cross-sections all agreed well with the quadratic power function. Among the representative volume elements with four different cross-sections, the yield strengths of the representative volume elements with a Plateau border cross-section were significantly larger than in representative volume elements with other cross-sections, while the yield strengths of representative volume elements with circular cross-sections were smaller than in representative volume elements with other cross-sections. This indicates that the simulation results of the compression strengths for open-cell foam in which the representative volume elements with circular cross-sections were employed are significantly smaller than their actual values. The main reason for this is that the moments of inertia in the Plateau border cross-sections are significantly greater than in the circular cross-sections of the same area. Our investigation results revealed that the compression responses of the representative volume elements for random equilateral Kelvin open-cell microstructures demonstrate isotropic behavior on the xoy plane, the yoz plane, and the xoz plane
%K Random Kelvin open-cell foam structure
%K open-cell aluminum foam
%K Plateau border cross-sections
%K isotropic foam structure
%K periodic boundary condition
%U https://journals.sagepub.com/doi/full/10.1177/0021955X16670583