RECURSIVE BIFURCATION AS SOURCES OF COMPLEXITY IN SOIL SHEARING BEHAVIOR

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概要

• 論文の詳細を見る

• This paper identifies recursive symmetry-breaking bifurcation phenomena as major sources of complexity in soil shearing behavior. By means of the group-theoretic bifurcation theory, a complete rule for bifurcation is presented for a cylindrical domain made up of uniform geotechnical materials, such as soil, sand, and rock. The bifurcation behavior of soil has two major phases : i) the formation of diamond, oblique stripe and echelon modes with high spatial frequencies at an earlier stage, and ii) the deformation pattern change and shear-band formation at a later stage. This behavior is indeed a recursive loss of symmetry that enlarges and changes deformation patterns. The mathematical knowledge of recursive bifurcation provides an overall view of the soil behavior.

• 社団法人地盤工学会の論文
• 1997-09-15

著者

• 室田 一雄

  Research Institute for Mathematical Sciences, Kyoto University

• 池田 清宏

  Dept. of Civ. Engrg., Tohoku Univ.

関連論文

• M-Convex Function on Generalized Polymatroid(Continuous and Discrete Mathematical Optimization)
• ラチスモデルによるコンクリート構造のメゾレベル解析
• RECURSIVE BIFURCATION AS SOURCES OF COMPLEXITY IN SOIL SHEARING BEHAVIOR
• BIFURCATION AS SOURCES OF UNCERTAINTY IN SOIL SHEARING BEHAVIOR

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