STABILITY OF DISPLACEMENT TO THE SECOND FUNDAMENTAL PROBLEM IN PLANE ELASTICITY  

作　　者：林娟 杜金元 

机构地区：[1]School of Mathematics and Statistics, Wuhan University [2]Department of Foundation, Fujian Commercial College

出　　处：《Acta Mathematica Scientia》2014年第1期125-140,共16页数学物理学报（B辑英文版）

基　　金：supported by NNSF of China(11171260);RFDP of Higher Education of China(20100141110054);NSF of Fujian Province;China(2008J0187);STF of Education Department of Fujian Province;China(JA11341)

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 happen, 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.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 happen, 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 

分 类 号：O343[理学—固体力学] O174.5[理学—力学]