OS2022 周期対称構造系の隠れた対称性の自発的破れ(OS20-4 疲労と強度,OS-20 HCP金属の実験力学と計算力学)

概要

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As the utilization of symmetry, the block-diagonalization method (BDM) based on "representation theory of group" has come to be utilized to exploit structural analysis of the symmetric structure. According to the fact that topological factor is unclear in the homogeneous structures, in this paper, we present the mechanism of the breaking-down from high-symmetry of the stratified symmetry which is developed by the translation law of the group products. This system is an assumption of the periodic lattice structure with periodic boundary conditions. We found out "hidden symmetry" and the rule of bifurcation path by using with BDM of the described the group products (tensor of group). By this product, a partial differential equation with the deformation pattern was converted to symmetric spaces of group, and it was possible to trace a stratified symmetry with geometric structures by the BDM. This method can be applied widely to the ruled equations with symmetry.
一般社団法人日本機械学会の論文
2011-07-16