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Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 19 ›› Issue (2): 213-224.

• 论文 • 上一篇    下一篇

BOUNDARY MIXED VARIATIONAL INEQUALITY IN FRICTION PROBLEM

丁方允1, 张欣1, 丁睿2   

  1. 1. Department of Mathematics, Lanzhou University, Lanzhou 730000, P. R. China;
    2. Mechanical Postdoctoral Station, Southwest Jiaotong University, Chengdu 610031, P. R. China
  • 收稿日期:1997-10-06 修回日期:1998-09-02 出版日期:1999-02-18 发布日期:1999-02-18
  • 基金资助:
    Project supported by the Natural Science Foundation of Gansu Province (ZH-96-002),P. R. China

BOUNDARY MIXED VARIATIONAL INEQUALITY IN FRICTION PROBLEM

Ding Fangyun1, Zhang Xin1, Ding Rui 2   

  1. 1. Department of Mathematics, Lanzhou University, Lanzhou 730000, P. R. China;
    2. Mechanical Postdoctoral Station, Southwest Jiaotong University, Chengdu 610031, P. R. China
  • Received:1997-10-06 Revised:1998-09-02 Online:1999-02-18 Published:1999-02-18
  • Supported by:
    Project supported by the Natural Science Foundation of Gansu Province (ZH-96-002),P. R. China

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摘要： In this paper, with the use of the friction problem in elasticity as the background, the existence and uniquenenss for the solution of the nonlinear, indiffe rentiable mixed variational inequality are discussed.Its corresponding boundary variational inequality and the existence and uniqueness of solution are given.This provides the theoretical basis for using boundary element method to solve the mixed variational inequality.

关键词: mixed variational inequality, friction problem, Sobolev space

Abstract: In this paper, with the use of the friction problem in elasticity as the background, the existence and uniquenenss for the solution of the nonlinear, indiffe rentiable mixed variational inequality are discussed.Its corresponding boundary variational inequality and the existence and uniqueness of solution are given.This provides the theoretical basis for using boundary element method to solve the mixed variational inequality.

Key words: mixed variational inequality, friction problem, Sobolev space

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