日本機械学会論文集A編
Online ISSN : 1884-8338
ISSN-L : 1884-8338
一般論文
き裂先端要素を用いたXFEMによる二次元き裂解析
長嶋 利夫澤田 昌孝
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2012 年 78 巻 796 号 p. 1642-1655

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The extended finite element method (XFEM) using a crack tip element (TIP element), which is enriched through only the Heaviside function, is applied to crack and its propagation analysis in two-dimensional elastic problems. In the proposed method, two-kind of signed distance functions are utilized in order to express crack geometry implicitly and finite elements, which has interaction with crack, are appropriately partitioned according to the level set values and then integrated numerically for derivation of stiffness matrix. The results by XFEM using TIP elements were compared with those by the conventional XFEM using both the asymptotic bases and the Heaviside function. It was shown that the TIP element provides appropriate stress intensity factors and crack propagation path.

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