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STABILITY OF DISPLACEMENT TO THE SECOND FUNDAMENTAL PROBLEM IN PLANE ELASTICITY

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【Author】 Juan LIN;Jinyuan DU;School of Mathematics and Statistics, Wuhan University;Department of Foundation, Fujian Commercial College;

【机构】 School of Mathematics and Statistics, Wuhan University； Department of Foundation, Fujian Commercial College；

【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.更多还原

【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 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.更多还原

【关键词】 elastic domain； Cauchy type integral； displacement； perturbation；
【Key words】 elastic domain； Cauchy type integral； displacement； perturbation；

【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)

【文献出处】 Acta Mathematica Scientia ,数学物理学报(英文版) , 编辑部邮箱 ,2014年01期

【分类号】O343;O174.5
【被引频次】4
【下载频次】36

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