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
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概要
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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.
- 土木学会 = Japan Society of Civil Engineersの論文
土木学会 = Japan Society of Civil Engineers | 論文
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