A unified approach to discrete frictional contact problems

被引:21
作者
Pang, JS [1 ]
Stewart, DE
机构
[1] Johns Hopkins Univ, Dept Math Sci, Baltimore, MD 21218 USA
[2] Univ Iowa, Dept Math, Iowa City, IA 52242 USA
[3] Virginia Polytech Inst & State Univ, Dept Math, Blacksburg, VA 24061 USA
关键词
D O I
10.1016/S0020-7225(98)00143-8
中图分类号
T [工业技术];
学科分类号
08 [工学];
摘要
We present a unified treatment of discrete, single-step, time-discretized contact problems with Coulomb friction that include quasistatic and dynamic problems involving rigid or elastic bodies undergoing small or large displacements. A general existence theory for these finite-dimensional problems is established under broad assumptions that are easily satisfied by many special models. The proof is based on a homotopy argument. This result extends many existence results known to date for discrete contact problems. (C) 1999 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:1747 / 1768
页数:22
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