【摘要】：針對平面孔洞問題提出了一種新的數值模擬方法.論文通過水平集方法引入孔洞邊界、力邊界和位移邊界水平集函數,利用邊界水平集函數來構造邊界試探項,將試探空間表示為二元冪級數與邊界試探項的線性組合;同時提出一種基于水平集方法的位移邊界條件施加方法,利用位移邊界水平集函數來構造滿足位移邊界條件的近似位移場,并給出了相應的剛度矩陣和載荷矩陣表達式.與FEM、XFEM、無網格法等方法相比,該方法無需將求解域離散,具有較低的計算成本、特性良好的剛度矩陣和較為廣泛的適用性.數值算例驗證了該方法的有效性.
[Abstract]:A new numerical simulation method is proposed to solve the problem of planar holes. In this paper, the horizontal set functions of hole boundary, force boundary and displacement boundary are introduced by the level set method, and the boundary test term is constructed by using the boundary level set function. The trial space is expressed as a linear combination of binary power series and boundary test term. At the same time, a displacement boundary condition imposing method based on the level set method is proposed. The approximate displacement field satisfying the displacement boundary condition is constructed by using the displacement boundary level set function, and the corresponding expressions of stiffness matrix and load matrix are given. Compared with the FEM,XFEM, meshless method, this method does not need to discretize the solution domain, and has lower computational cost, better stiffness matrix and wider applicability. Numerical examples show that the method is effective.
【作者單位】： 中國工程物理研究院總體工程研究所;
【分類號】：O302

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