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

• Articles • Previous Articles     Next Articles

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

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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