Qualitative analysis of solutions to discrete static contact problems with Coulomb friction
Qualitative analysis of solutions to discrete static contact problems with Coulomb friction
复制标题
库仑摩擦离散静接触问题解的定性分析
DOI：
10.1016/j.cma.2010.09.010
复制
发表时间：
2012
影响因子：
7.2
通讯作者：
T. Ligurský
中科院分区：
文献类型：
--
作者：
J. Haslinger;V. Janovský;T. Ligurský
分析了摩擦系数F为参数的库仑摩擦离散接触问题解的性质。利用广义变的隐函数定理，我们建立的条件下存在一个局部Lipschitz连续分支的解决方案周围的参考点。最后，提出了一个分段光滑的连续算法，它允许遵循这样的分支的解决方案。
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.