固体の大変形解析のためのマーカ積分特性有限要素法

• 山田 貴博

  横浜国立大学大学院環境情報研究院

• 石井 聡

  トヨタ自動車株式会社

• 松井 和己

  横浜国立大学大学院環境情報研究院

• 相澤 政史

  横浜国立大学大学院環境情報学府博士前期課程

書誌事項

タイトル別名

• Characteristic Galerkin Finite Element Method with Marker Particle Integration for Large Deformation Problem of Solid

抄録

A novel approach of the Eulerian finite element method for large deformation problems of solid is proposed in this paper. The proposed method uses Lagrangian marker particles to evaluate the motion of materials including the free surfaces and advection of internal variables. The equation of motion is approximated by the characteristic Galerkin finite element method with a fixed spatial mesh. In this approximation, the material derivatives are evaluated by the special numerical integration along the characteristics in which the locations of the integration points are set at those of the marker particle. The internal variables at the marker are updated from the spatial derivatives of velocity field calculated on the fixed finite element mesh. It is remarked that no advection equation appears in the proposed method and the proposed method exhibits less diffusive properties than the conventional Eulerian method.

収録刊行物

• 応用力学論文集

  応用力学論文集 8 319-326, 2005

  公益社団法人 土木学会

キーワード

• marker particle
• characteristic Galerkin
• solid
• large deformation

詳細情報

• CRID: 1390001205208481024
• NII論文ID: 130004258297
• DOI: 10.2208/journalam.8.319
• ISSN: 1884832X
• ISSN: 13459139
• 本文言語コード: ja
• データソース種別:
  • JaLC
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可