Development of a New Branch-Switching Algorithm in Nonlinear FEM using Scaled Corrector

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抄録

A new algorithm for branch-switching at bifurcation points in the nonlinear finite element method is developed. The procedure is simple and neither eigenvalue analysis nor an alternative cpu-extensive task is necessary for the calculation of buckling modes at bifurcation points. The basic concept is that a displacement corrector vector in the Newton-Raphson iteration can be used in place of an eigenvalue mode which is usually used for branch-switching, due to the high similarity of the governing equations at bifurcation points. Two numerical examples, buckling of a square plate under compressive loading and 'diamond buckling' of a cylinder, are conducted to demonstrate the validity of the algorithm.

収録刊行物

  • JSME international journal. Ser. A, Mechanics and material engineering

    JSME international journal. Ser. A, Mechanics and material engineering 37(3), 255-263, 1994

    一般社団法人日本機械学会

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各種コード

  • NII論文ID(NAID)
    110002964356
  • NII書誌ID(NCID)
    AA10888746
  • 本文言語コード
    ENG
  • 資料種別
    雑誌論文
  • ISSN
    09148809
  • データ提供元
    CJP引用  NII-ELS  J-STAGE 
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