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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >Mortar contact formulations for deformable-deformable contact: Past contributions and new extensions for enriched and embedded interface formulations
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Mortar contact formulations for deformable-deformable contact: Past contributions and new extensions for enriched and embedded interface formulations

机译：用于可变形-可变形接触的砂浆接触配方：过去的贡献和丰富和嵌入式界面配方的新扩展

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摘要

The past 10-15 years have seen important extensions of the mortar method, a technique for joining dissimilar grids popularized by the domain decomposition community, to the more general problem of contact and impact interactions in finite element analysis. This development has taken place largely in response to several long-standing problems in computational contact mechanics: lack of robustness in solution of the nonlinear and nonsmooth equations of evolution; degradation of spatial convergence rates in problems involving nonconforming meshes on interfaces; lack of a variationally consistent technique for stress recovery on interfaces; and so on. This survey paper summarizes some of the major steps in development of mortar contact formulations. It begins with a basic summary of the mortaring idea in the context of tied contact, it discusses key concepts required for the extension of these methods to large deformation, large sliding formulations of contact-impact, and it previews new results where lessons learned from mortar contact formulations can be extended to a much broader class of interface mechanics applications, considering in particular enriched interface formulations and embedded interface approaches to fluid-structure interaction.
机译：在过去的10到15年中，迫击炮方法有了重要的扩展，这种方法是将由区域分解社区普及的异种网格连接起来的技术，用于更广泛的有限元分析中的接触和碰撞相互作用问题。这种发展很大程度上是由于对计算接触力学中几个长期存在的问题的回应：非线性和非光滑演化方程的解缺乏鲁棒性；涉及界面上不合格网格的问题中空间收敛速度的降低；缺乏在界面上恢复应力的变化一致技术；等等。本调查报告总结了砂浆接触配方开发中的一些主要步骤。它首先从绑扎接触方面对砂浆概念进行了基本总结，讨论了将这些方法扩展到大变形，大接触接触滑动公式所需的关键概念，并预览了从砂浆中学到的新结果接触配方可以扩展到更广泛的界面力学应用类别，特别是考虑到丰富的界面配方和用于流体-结构相互作用的嵌入式界面方法。

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