Transient three-dimensional contact problems: mortar method. Mixed methods and conserving integration
Transient three-dimensional contact problems: mortar method. Mixed methods and conserving integration
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瞬态三维接触问题：砂浆法。
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
P. Betsch
中科院分区：
文献类型：
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作者：
C. Hesch;P. Betsch
目前的工作涉及针对单侧接触约束的能量动量守恒方法的开发，并且是处理 NTS 方法的先前工作（Hesch 和 Betsch，Comput Mech 2011，doi：10.1007/s00466-011-0597-2）的直接延续。在这项工作中，我们介绍了砂浆方法和新开发的分割过程，以实现接触界面的一致集成。为了将能量动量方法应用于砂浆约束，我们将基于混合公式的方法扩展到砂浆约束的分段定义。新提出的离散化方法增强的数值稳定性将在几个例子中展示。
The present work deals with the development of an energy-momentum conserving method to unilateral contact constraints and is a direct continuation of a previous work (Hesch and Betsch in Comput Mech 2011, doi:10.1007/s00466-011-0597-2) dealing with the NTS method. In this work, we introduce the mortar method and a newly developed segmentation process for the consistent integration of the contact interface. For the application of the energy-momentum approach to mortar constraints, we extend an approach based on a mixed formulation to the segment definition of the mortar constraints. The enhanced numerical stability of the newly proposed discretization method will be shown in several examples.