STABILITY OF DISPLACEMENT TO THE SECOND FUNDAMENTAL PROBLEM IN PLANE ELASTICITY

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

Acta mathematica scientia,Series B ›› 2014, Vol. 34 ›› Issue (1): 125-140.doi: 10.1016/S0252-9602(13)60131-9

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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).

Abstract

Abstract:

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.

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

CLC Number:

30E20

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.

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STABILITY OF DISPLACEMENT TO THE SECOND FUNDAMENTAL PROBLEM IN PLANE ELASTICITY

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