STABILITY OF DISPLACEMENT TO THE SECOND FUNDAMENTAL PROBLEM IN PLANE ELASTICITY

doi:10.1016/S0252-9602(13)60131-9

数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (1): 125-140.doi: 10.1016/S0252-9602(13)60131-9

STABILITY OF DISPLACEMENT TO THE SECOND FUNDAMENTAL PROBLEM IN PLANE ELASTICITY

林娟^1,2|杜金元^1*

1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China；
2. Department of Foundation, Fujian Commercial College, Fuzhou 350012, China

收稿日期:2012-09-24 修回日期:2013-01-25 出版日期:2014-01-20 发布日期:2014-01-20
通讯作者: 杜金元,jydu@whu.edu.cn E-mail:lj7862124@163.com; jydu@whu.edu.cn
基金资助:
This work was supported by NNSF of China (11171260), RFDP of Higher Education of China (20100141110054), NSF of Fujian Province, China (2008J0187) and STF of Education Department of Fujian Province, China (JA11341).

STABILITY OF DISPLACEMENT TO THE SECOND FUNDAMENTAL PROBLEM IN PLANE ELASTICITY

LIN Juan^1,2, DU Jin-Yuan^1*

1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China；
2. Department of Foundation, Fujian Commercial College, Fuzhou 350012, China

Received:2012-09-24 Revised:2013-01-25 Online:2014-01-20 Published:2014-01-20
Contact: DU Jin-Yuan,jydu@whu.edu.cn E-mail:lj7862124@163.com; jydu@whu.edu.cn
Supported by:
This work was supported by NNSF of China (11171260), RFDP of Higher Education of China (20100141110054), NSF of Fujian Province, China (2008J0187) and STF of Education Department of Fujian Province, China (JA11341).

摘要/Abstract

摘要：

In this article, by using the stability of Cauchy type integral when the smooth perturbation for integral curve and the Sobolev type perturbation for kernel density hap-pen, we discuss the stability of the second fundamental problem in plane elasticity when the smooth perturbation for the boundary of the elastic domain (unit disk) and the Sobolev type perturbation for the displacement happen. And the error estimate of the displacement between the second fundamental problem and its perturbed problem is obtained.

关键词: elastic domain, Cauchy type integral, displacement, perturbation

Abstract:

Key words: elastic domain, Cauchy type integral, displacement, perturbation

中图分类号:

30E20

林娟, 杜金元. STABILITY OF DISPLACEMENT TO THE SECOND FUNDAMENTAL PROBLEM IN PLANE ELASTICITY[J]. 数学物理学报(英文版), 2014, 34(1): 125-140.

LIN Juan, DU Jin-Yuan. STABILITY OF DISPLACEMENT TO THE SECOND FUNDAMENTAL PROBLEM IN PLANE ELASTICITY[J]. Acta mathematica scientia,Series B, 2014, 34(1): 125-140.

参考文献

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STABILITY OF DISPLACEMENT TO THE SECOND FUNDAMENTAL PROBLEM IN PLANE ELASTICITY

STABILITY OF DISPLACEMENT TO THE SECOND FUNDAMENTAL PROBLEM IN PLANE ELASTICITY

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