Application of the FETI Domain Decomposition Method to Semi-coercive Contact Problems

机译：胎儿域分解方法在半矫顽触点问题中的应用

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This paper is concerned with application of the Finite Element Tearing and Interconnecting (FETI) method to solution to contact problems. The FETI belongs to the family of domain decomposition methods for which a spatial domain is divided into a set of totally disconnected non-overlapping sub-domains with Lagrange multipliers enforcing compatibility at the interfaces. The principles the method stems from can naturally be applied to solution to the contact problems. We outline the theory the method is based on. Then results of numerical experiments are shown for the following cases: Comparison with the analytical solution for a Hertzian problem, (a), and for a Person's problem, (b), and computation of a geometrically nonlinear problem with the same geometry as in the first case but larger load, (c).

机译：本文涉及应用有限元撕裂和互连（FETI）方法的溶液接触问题。 FETI属于域分解方法的域，其中空间域被分成一组完全断开的非重叠子域，其中Lagrange乘法器强制在接口处兼容兼容性。该方法源于自然可以应用于接触问题的方法。我们概述了该方法基于的理论。然后显示了数值实验的结果，用于以下情况：与赫斯问题的分析解决方案，（a）和一个人的问题，（b），以及与与相同的几何形状的几何非线性问题的计算第一个案例但较大的负载，（c）。

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《International Conference on Engineering Computational Technology》|2004年||共10页
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作者
J. Dobias; S. Ptak; Z. Dostal; V. Vondrak;
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中图分类 TB11-53;
关键词
Contact; Domain decomposition; Nonlinear; Semi-coercive problems; Structural analysis; Finite element method;

机译：联系;域分解;非线性;半强制性问题;结构分析;有限元法;

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1. The FETI family of domain decomposition methods for inequality-constrained quadratic programming: Application to contact problems with conforming and nonconforming interfaces [J] . Philip Avery, Charbel Farhat Computer Methods in Applied Mechanics and Engineering . 2009,第21a26期

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2. Parallel solution of contact shape optimization problems based on Total FETI domain decomposition method [J] . Vít Vondrák, Tomáš Kozubek, Alexandros Markopoulos, Structural and Multidisciplinary Optimization . 2010,第6期

机译：基于Total FETI域分解法的接触形状优化问题并行求解
3. Parallel solution of contact shape optimization problems based on Total FETI domain decomposition method [J] . Vondrák V., Kozubek T., Markopoulos A., Structural and multidisciplinary optimization . 2010,第6期

机译：基于总FETI域分解方法的接触形状优化问题并行求解
4. Application of the FETI Domain Decomposition Method to Semi-coercive Contact Problems [C] . J. Dobias, S. Ptak, Z. Dostal, International Conference on Engineering Computational Technology . 2004

机译：胎儿域分解方法在半矫顽触点问题中的应用
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Application of the FETI Domain Decomposition Method to Semi-coercive Contact Problems

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