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

Acta Scientiarum Naturalium Universitatis Pekinensis

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

WU Lancheng

Department of Mathematics, Peking University, Beijing, 100871

Received:1995-10-11 Online:1996-09-20 Published:1996-09-20

某类弹塑性理论中带有小摩擦的Signorini问题

吴兰成

北京大学数学系，北京，100871

Abstract

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

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

CLC Number:

WU Lancheng. Signorini Problem with Small Friction in akind of ElasticityPlasticity Theory[J]. Acta Scientiarum Naturalium Universitatis Pekinensis.

吴兰成 . 某类弹塑性理论中带有小摩擦的Signorini问题[J]. 北京大学学报（自然科学版）.

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