Existence results for the static contact problem with Coulomb friction

被引：77

作者：

Eck, C

Jarusek, J

机构：

[1] Univ Stuttgart, Inst Math A, D-70550 Stuttgart, Germany

[2] Acad Sci Czech Republ, Inst Math, CR-11567 Prague 1, Czech Republic

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 1998年 / 8卷 / 03期

关键词：

D O I：

10.1142/S0218202598000196

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of solutions to the static contact problem with Coulomb friction, provided that the coefficient of friction is small enough. The proof employs the penalty method and a certain smoothing procedure for the friction functional. Using optimal trace estimates for the solutions of the Lame equations, we calculate an upper bound for the admissible coefficient of friction which is greater than the corresponding bounds proposed by Necas, Jarusek and Haslinger (1980) and by Jarusek (1983).

引用

页码：445 / 468

页数：24