A finite element method is developed to understand the in-plane, quasi-static compressive deformation mechanism and to predict elasto-plastic stress-strain responses of regularly cell-structured honeycombs. Temporal evolution of geometric configuration is also observed in series in order to understand its deformed pattern. Elasto-plastic model predicts quantitatively the compression behavior of copper cell-structured materials. Fairly good agreement with experimental results assures the validity of the present approach. Four different cell geometries are employed to discuss the effect of column-connectivity in a unit cell on the initial and shear localization behavior of cellular materials. In the case of cellular materials with four-edge connectivity, their initial and post-yielding behaviors are governed by buckling and bending deformation of one selected column. In the case of six-edge connected cellular materials, a set of columns is selected among six in the unit cell to make buckling and bending deformation in the dependent manner on loading directions. This leads to plastic anisotropy of this type of cellular materials.
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