摩擦问题中的边界混合变分不等式

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

基金项目: 甘肃省自然科学基金资助项目(ZR_96_002)

Boundary Mixed Variational Inequality in Friction Problem

1.
Department of Mathematics, Lanzhou University, Lanzhou 730000, P R China;
2.
Mechanical Postdoctoral Station, Southwest Jiaotong University, Chengdu 610031, P R China

摘要: 本文以弹性力学中的摩擦问题为背景,讨论了非线性、不可微的混合变分不等式解的存在唯一性,给出相应的边界变分不等式及其解的存在唯一性。为使用边界元方法数值求解提供了理论依据。
- 混合变分不等式 /
- 摩擦问题 /
- Sobolev空间
Abstract: In this paper,with the use of the friction problem in elasticity as the background,the existence and uniqueness for the solution of the nonlinear,indifferentiable 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.
- mixed variational inequality /
- friction problem /
- Sobolev space

[1]	Mosco U. Approximation of the solutions of some variational inequalities[J]. Ann Scuola Normale Sup Pisa, 1967,21(2):373～394
[2]	Han H. A direct boundary element for Signorini problems[J]. Math Compute,1990,55(1):115～128
[3]	迪沃 G,利翁斯 J L.力学和物理学中的变分不等方程[M].王耀东译.北京:科技出版社,1987
[4]	Han H. The boundary integro-differential equations of elliptic boundary value and their numerical solution[J].Sci Sinica Series A,1988,29(10):1153～1165
[5]	丁方允,吕涛涛.具非线性边值条件的二维Helmholtz方程的边界元分析[J].兰州大学学报,1994,30(2):25～36

点击查看大图