Microscopic Symmetric Bifurcation Analysis for Cellular Solids Based on a Homogenization Theory of Finite Deformation. 2nd Report. Application to In-Plane Buckling of Hexagonal Honeycombs.

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  • 有限変形の均質化理論に基づくセル状固体の微視的対称分岐解析　第２報　　正六角形ハニカムの面内座屈への適用
  • ユウゲン ヘンケイ ノ キンシツカ リロン ニ モトヅク セルジョウ コタイ ノ ビシテキ タイショウ ブンキ カイセキ ダイ2ホウ セイ 6カッケイ ハニカム ノ メン ナイザクツ エ ノ テキヨウ

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This report deals with numerical verification of the theory, developed in the first report, on microscopic symmetric bifurcation of cellular solids subjected to macroscopically uniform compression. The theory is applied to analyzing the in-plane biaxial buckling of an elastic hexagonal honeycomb. It is shown that microscopic symmetric bifurcation takes place in the heneycomb in spite of the complex buckling behavior under in-plane biaxial compression. It is also shown that the complex buckling behavior is a consequence of the multiplicity of buckling modes ; for example, a triplet of buckling modes under equi-biaxial compression, each of which is relatively simple, are linearly combined to generate a flower-like complex mode, which was observed recently to occur in a hexagonal honeycomb with circular cells.

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