Qualitative analysis of solutions to discrete static contact problems with Coulomb friction

J. Haslinger; V. Janovsky; T. Ligursky

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Qualitative analysis of solutions to discrete static contact problems with Coulomb friction

机译：定性分析具有库仑摩擦的离散静态接触问题

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摘要

We analyze properties of solutions to discrete contact problems with Coulomb friction which are parametrized by the coefficient of friction F. Using a generalized variant of the implicit-function theorem we establish conditions under which there exists a local Lipschitz continuous branch of solutions around a reference point. Finally, a piecewise smooth continuation algorithm which allows to follow such branches of solutions is proposed.

机译：我们分析了由摩擦系数F参数化的具有库仑摩擦的离散接触问题的解的性质。使用隐函数定理的广义变型，我们建立了一个条件，在该条件下，在一个参考点周围存在一个局部Lipschitz连续解的分支。最后，提出了一种分段平滑连续算法，该算法可以遵循这些解的分支。

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来源
《Computer Methods in Applied Mechanics and Engineering》 |2012年第15期|p.149-161|共13页
作者
J. Haslinger; V. Janovsky; T. Ligursky;
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作者单位

Charles University in Prague, Faculty of Mathematics and Physics, Department of Numerical Mathematics, Sokolovskd 83, 186 75 Prague 8, Czech Republic;

rnCharles University in Prague, Faculty of Mathematics and Physics, Department of Numerical Mathematics, Sokolovskd 83, 186 75 Prague 8, Czech Republic;

rnCharles University in Prague, Faculty of Mathematics and Physics, Department of Numerical Mathematics, Sokolovskd 83, 186 75 Prague 8, Czech Republic;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
contact problem; coulomb friction; mixed finite element formulation; local lipschitz continuous branches of; solutions; piecewise smooth continuation methods;

机译：联系问题;库仑摩擦混合有限元公式;本地的lipschitz的连续分支;解决方案;分段光滑连续法;

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1. Qualitative analysis of 3D elastostatic contact problems with orthotropic Coulomb friction and solution-dependent coefficients of friction [J] . Haslinger, J., Kuera, R., Ligursk, T. Journal of Computational and Applied Mathematics . 2011,第12期

机译：正交各向异性库仑摩擦的3D弹力接触问题的定性分析和与溶液有关的摩擦系数
2. Finite element analysis of a static contact problem with Coulomb friction [J] . Hlavá?ek Ivan Applications of mathematics . 2000,第5期

机译：库仑摩擦力静态接触问题的有限元分析
3. Theoretical analysis of discrete contact problems with Coulomb friction [J] . Ligursky Tomá? Applications of mathematics . 2012,第3期

机译：具有库仑摩擦的离散接触问题的理论分析
4. Chapter 6 A Residual Type Error Estimate for the Static Coulomb Friction Problem with Unilateral Contact [C] . Patrick Hild, Vanessa Lleras Contact Mechanics International Symposium . 2013

机译：第六章静态型误差估计单侧接触的静态库仑摩擦问题
5. CONTACT, ADHESION, AND STATIC FRICTION OF METALLIC ROUGH SURFACES [D] . CHANG, WEN-RUEY 1986

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6. Discrete dislocation plasticity analysis of loading rate-dependent static friction [O] . H. Song, V. S. Deshpande, E. Van der Giessen -1

机译：加载速率相关静摩擦的离散位错塑性分析
7. Qualitative analysis of 3D elastostatic contact problems with orthotropic Coulomb friction and solution-dependent coefficients of friction [O] . Haslinger Jaroslav, Kučera Radek, Ligurský Tomáš 2011

机译：正交各向异性库仑摩擦力的3D弹力接触问题的定性分析以及与溶液有关的摩擦系数

Qualitative analysis of solutions to discrete static contact problems with Coulomb friction

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