A FORMULATION OF HIERARCHICAL INFINITE ELEMENTS

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  • HAYASHI Masa
    社団法人 土木学会 長岡技術科学大学
  • WATANABE Chikara
    社団法人 土木学会 函館工業高等専門学校 環境都市工学科
  • SAITOH Michio
    社団法人 土木学会 川田テクノシステム株式会社 設計部

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  • ハイアラーキ無限要素の定式化
  • ハイアラーキ ムゲン ヨウソ ノ テイシキカ

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Abstract

When the infinite domain is treated in finite element analysis, infinite elements are frequently used to decrease the number of elements. In this study, the hierarchical infinite elements that can obtain highly accurate solutions by few elements are developed. These elements can be applied to curved infinite elements with arbitrary shape by using the hierarchical mapping technique with semi-infinite functions. Furthermore, the singular infinite elements where singularity is introduced into those mapping functions are proposed for the stress concentration in the vicinity of singular points of the infinite domain. By using numerical examples, the accuracy and availability of these elements are demonstrated.

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