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An inverse-free interface patch test for nonmatching FEM meshes

机译：用于非匹配FEM网格的无逆接口补丁测试

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This paper considers methods for coupling of non-matching FEM meshes by dual schemes based on Lagrange multipliers. Nonmatching meshes are those where nodes and/or degrees of freedom do not match at an interface between two FEM models. One particular scheme is studied in some detail: concentrated Lagrange multipliers collocated at the boundary nodes and linked by an intermediate displacement-assumed frame. The key advantage of this configuration is that it does not require detailed knowledge of boundary displacement interpolation on either side of the interface. This increases software modularity since interfacing modules do not need to know the type of elements being coupled. A new inverse-free interface patch test (IFIPT) is developed to test the consistency of the frame in transmitting arbitrary constant stress states exactly. This form of the patch is of interest in symbolic manipulation because it does not require matrix inversion. In the case of displacement-frame-connected submeshes, the IFIPT is used to define the location of the frame nodes. An algebraic criterion that provides the frame node locations as the roots of a polynomial equation is presented. This criterion has been used in contact problems, in which frame node locations are adjusted during the response computations.
机译：本文考虑了基于拉格朗日乘数的双方案耦合非匹配的有限元网的方法。非匹配网格是那些在两个有限元模型之间的接口处不匹配的节点和/或自由度的那些。在一些细节中研究了一种特定方案：在边界节点处置换的集中拉格朗日乘法器并由中间位移的帧链接。这种配置的关键优势在于它不需要详细了解接口的任一侧上的边界位移插值。这增加了软件模块化，因为接口模块不需要知道正在耦合的元素的类型。开发了一种新的无序接口补丁测试（IFIPT）以确切地测试帧的一致性。这种形式的补丁对象征性操纵感兴趣，因为它不需要矩阵反转。在位移帧连接的子表的情况下，IFIPT用于定义帧节点的位置。提出了一种作为多项式方程的根的帧节点位置提供帧节点位置的代数标准。该标准已用于接触问题，其中在响应计算期间调整帧节点位置。

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