北京大学学报(自然科学版)

某类弹塑性理论中带有小摩擦的Signorini问题

吴兰成   

  1. 北京大学数学系,北京,100871
  • 收稿日期:1995-10-11 出版日期:1996-09-20 发布日期:1996-09-20

Signorini Problem with Small Friction in akind of ElasticityPlasticity Theory

WU Lancheng   

  1. Department of Mathematics, Peking University, Beijing, 100871
  • Received:1995-10-11 Online:1996-09-20 Published:1996-09-20

摘要: 考虑了某类弹塑性理论中带有摩擦的Signorini问题。设摩擦遵从Coulomb定律。证明了在摩擦系数适当小的条件下,该问题的解存在唯一。

关键词: 椭圆型偏微分方程组, 变分不等式, 弹塑性, Signorini问题, 摩擦

Abstract: A signorini problem with Coulomb friction in a kind of elasticityplasticity theory is considered. We prove the existence and uniqueness of the solution to this problem with small friction.

Key words: Elliptic systems, variational inequalities, elasticityplasticity, signorini problems, friction

中图分类号: