基于整体位移模式的平面孔洞结构数值模拟方法
发布时间：2018-11-18 15:10
【摘要】：针对平面孔洞问题提出了一种新的数值模拟方法.论文通过水平集方法引入孔洞边界、力边界和位移边界水平集函数,利用边界水平集函数来构造边界试探项,将试探空间表示为二元幂级数与边界试探项的线性组合;同时提出一种基于水平集方法的位移边界条件施加方法,利用位移边界水平集函数来构造满足位移边界条件的近似位移场,并给出了相应的刚度矩阵和载荷矩阵表达式.与FEM、XFEM、无网格法等方法相比,该方法无需将求解域离散,具有较低的计算成本、特性良好的刚度矩阵和较为广泛的适用性.数值算例验证了该方法的有效性.
[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.
【作者单位】： 中国工程物理研究院总体工程研究所;
【分类号】：O302
[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.
【作者单位】： 中国工程物理研究院总体工程研究所;
【分类号】：O302
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本文编号：2340387
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