论文信息 - PROPOSAL OF NEW FEM FOR ANALYSIS OF FAILURE PHENOMENA

PROPOSAL OF NEW FEM FOR ANALYSIS OF FAILURE PHENOMENA

破壊現象の簡便な数値解析手法, FEM-βを提案する. FEM-βは, いたるところ不連続かつ重なりのない形状関数と, 双対図形によるひずみ場・応力場の離散化を用いて, 連続体の数理モデルである境界値問題を数値的に解く手法であり, 特殊な変位場を用いた有限要素法 (FEM) と位置づけられる.FEM-βは通常のFEM (一様ひずみ三角形要素) と同等の精度・局所性 (疎行列) を保ちつつ, 破壊を簡便に表現する仕組みをもつパーティクル・フィジックス・モデルを与える. この意味で, FEM-βをFEMの観点から個別要素法 (DEM) を定式化しなおしたものとみなし, 連続体との等価性を保証する相互作用バネ定数を一意に決定する仕組みを持つDEMと位置づけることもできる.

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