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陰解法リターンマップ手法を用いた圧縮荷重下における亀裂先端近傍応力場の弾塑性X-FEM解析

フォーマット:
論文
責任表示:
李, 柄奇 ; 矢富, 盟祥
言語:
日本語
出版情報:
土木学会 = Japan Society of Civil Engineers, 2005-01-01
著者名:
掲載情報:
応用力学論文集 = Journal of applied mechanics : JSCE
ISSN:
1345-9139  CiNii Research  Webcat Plus  JAIRO
巻:
8
開始ページ:
461
終了ページ:
470
バージョン:
publisher
概要:
Using a simple X-FEM, in which only the four-node quadrilateral isoperimetric elements in the fractured element are employed without the enrichment by the near-tip asymptotic solution, we analyze the stress distributions near a crack tip for an elastic-plastic material in a rectangular plate with a centered crack under two axial compressive loads. The friction forces assumed to follow the Coulomb law with a slip criterion is analyzed in the context of an implicit return mapping algorithm. The elastic-plastic material is also analyzed by the implicit return mapping algorithm. Thus the contact problem and the elastic-plastic material become a simultaneous combining incremental and iterative method of the same implicit scheme of the Newton-Raphson method. This makes the algorithm very simple. The stress distributions near the crack tip obtained by the simple X-FEM agree well with the exact solution in the elastic material and with the classical FEM solution in the elastic-plastic material. 続きを見る
URL:
http://hdl.handle.net/2297/36690
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