CAJ | 학술논문

扩展有限元法的网格剖分不需要考虑裂纹的位置，但计算时需根据计算网格和裂纹位置关系确定加强节点和加强类型。一般根据加强单元类型确定加强节点和加强类型。确定加强单元类型，不仅要考虑裂纹位置，还要考虑单元形状。指出现有文献中只考虑裂纹位置根据节点水平集值判别加强单元类型的不足，提出相应的改进方法。对于复杂形状裂纹，采用水平集法确定加强单元类型并不方便；给出了一种确定加强单元类型、加强节点和加强类型的有效方法，即根据裂纹与单元边界交点数和裂纹拐点位置确定加强单元类型，然后根据加强单元类型确定加强节点及加强类型；给出了该方法详细的执行过程。算例分析表明了本文方法的正确性。
확전유한원법적망격부분불수요고필렬문적위치，단계산시수근거계산망격화렬문위치관계학정가강절점화가강류형。일반근거가강단원류형학정가강절점화가강류형。학정가강단원류형，불부요고필렬문위치，환요고필단원형상。지출현유문헌중지고필렬문위치근거절점수평집치판별가강단원류형적불족，제출상응적개진방법。대우복잡형상렬문，채용수평집법학정가강단원류형병불방편；급출료일충학정가강단원류형、가강절점화가강류형적유효방법，즉근거렬문여단원변계교점수화렬문괴점위치학정가강단원류형，연후근거가강단원류형학정가강절점급가강류형；급출료해방법상세적집행과정。산례분석표명료본문방법적정학성。
Meshes are generated without taking account of existence of cracks in the extended finite element method. However, the enriched nodes and their enrichment types are determined by the interaction between the computational mesh and the locations of cracks. In general, the enriched nodes and their enrichment types are determined according to the enriched element types. To determine the enriched element types, the locations of cracks and the shapes of elements must be considered. The limitations judging the enriched element types with the nodal level set values only considering the locations of cracks are pointed out;and the improved method is proposed. For complex cracks, it is inconvenient to determine the enriched element types with the level set method. An effective method is proposed to determine the enriched element types, enriched nodes and their enrichment types, i.e. according to the intersection number between the cracks and element boundaries and the locations of crack inflection points, the enriched element types are determined;then the enriched nodes and their enrichment types are determined by the enriched element types. The detailed procedure of the method is presented. The case studies of numerical simulation show the correctness of the proposed method.