Various contact approaches for the finite cell method
Various contact approaches for the finite cell method
复制标题
有限单元法的各种接触方法
DOI：
10.1007/s00466-015-1174-x
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发表时间：
--
影响因子：
4.1
通讯作者：
Schweizerhof K.
中科院分区：
文献类型：
--
作者：
Konyukhov A;Ch. Lorenz;Schweizerhof K.
有限单元法（FCM）提供了一种计算结构的方法，它可以被描述为高阶有限元和一种特殊的积分技术的混合。该方法是近十年来发展起来的一种新的计算方法。FCM的主要问题之一是细胞内以及子细胞的边界条件的描述。一个完全开放的问题是对接触的描述。因此，目前工作的动机是发展一套计算接触力学的方法，这将是有效的有限元单元法。因此，对于FCM方法，我们正在开发和测试以下算法，集中在赫兹问题上：直接积分在单元方法中，允许最快的实现，但遭受数值伪像，如“邮票效应”;关于近似特性的最有效的方案，单元表面到分析表面接触单元设计用于与刚体接触，导致单元接触单元;最后是基于有限离散法的离散单元接触法。所有开发的方法仔细验证与分析赫兹解决方案。对于所有开发的接触方法的细胞细分，形状函数的顺序以及形状函数的类的选择进行了研究。该分析允许根据用户的需求选择最稳健的方法，例如正确表示应力，或仅满足几何非穿透条件。
The finite cell method (FCM) provides a method for the computation of structures which can be described as a mixture of high-order FEM and a special integration technique. The method is one of the novel computational methods and is highly developed within the last decade. One of the major problems of FCM is the description of boundary conditions inside cells as well as in sub-cells. And a completely open problem is the description of contact. Therefore, the motivation of the current work is to develop a set of computational contact mechanics approaches which will be effective for the finite element cell method. Thus, for the FCM method we are developing and testing hereby focusing on the Hertz problem the following algorithms: direct integration in the cell method, allowing the fastest implementation, but suffering from numerical artifacts such as the “stamp effect”; the most efficient scheme concerning approximation properties the cell-surface-to-analytical-surface contact element designed for contact with rigid bodies leading to cell-wisely contact elements; and finally the discrete-cell-to-cell contact approach based on the finite discrete method. All developed methods are carefully verified with the analytical Hertz solution. The cell subdivisions, the order of the shape functions as well as the selection of the classes for shape functions are investigated for all developed contact approaches. This analysis allows to choose the most robust approach depending on the needs of the user such as correct representation of the stresses, or only satisfaction of geometrical non-penetration conditions.
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影响因子：
7.2
作者：
A. Konyukhov;K. Schweizerhof
通讯作者：
A. Konyukhov;K. Schweizerhof
DOI：
--
发表时间：
1998
期刊：
影响因子：
--
作者：
P. Wriggers;O. Scherf
通讯作者：
O. Scherf
影响因子：
4.1
作者：
Meysam Joulaian;A. Düster
通讯作者：
Meysam Joulaian;A. Düster
影响因子：
7.2
作者：
A. Konyukhov;K. Schweizerhof
通讯作者：
K. Schweizerhof