Abstract
Closed form expressions for the Cosserat constants for circular cell honeycombs are derived using a combination of non-dimensional analysis and numerical analysis. The expressions for the four in-plane Cosserat compliances, which are the plane strain bulk compliance, the shear compliance, the micropolar compliance and the bending compliance are derived in terms of the cell size, cell thickness and the linear elastic properties of the cell wall material. Numerical analyses are performed to verify the accuracy of the derived constants by considering different combinations of geometric parameters and different numbers of cells for the honeycombs. It is shown that the closed form expressions are an accurate representation of the Cosserat constants of circular cell honeycombs.
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