Incorporation of contact for high-order finite elements in covariant form
Incorporation of contact for high-order finite elements in covariant form
复制标题
以协变形式合并高阶有限元的接触
DOI：
10.1016/j.cma.2008.04.023
复制
发表时间：
2009
影响因子：
7.2
通讯作者：
K. Schweizerhof
中科院分区：
文献类型：
--
作者：
A. Konyukhov;K. Schweizerhof
应用协变接触描述将接触问题的处理融入到高阶有限元技术中。形函数空间的分层丰富允许构造接触层有限元，该有限元结合了接触面的精确几何表示和接触体内部具有线性形函数的网格。这种接触方法既可以看作是一种线性网格的光顺技术，也可以看作是高阶有限元的一般应用。对于经典的Hertz问题，所发展的接触层单元具有良好的逼近性质，即使在离散接触区的少数接触单元中也是如此。
The covariant contact description is applied to incorporate the treatment of contact problems into a high-order finite element technique. A hierarchical enrichment of the shape functions space allows to construct a contact layer finite element combining both exact geometry representation for contact surfaces, and a mesh with linear shape functions for the interior of the contacting bodies. The developed contact approach can be viewed as a smoothing technique for linear meshes as well as a general application of high-order FEM. The good approximation property for the developed contact layer elements is shown for the classical Hertz problem even within a few contact elements discretizing the contact zone.