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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

作     者:林娟 杜金元 

作者机构:School of Mathematics and Statistics Wuhan University Department of Foundation Fujian Commercial College 

出 版 物:《Acta Mathematica Scientia》 (数学物理学报(B辑英文版))

年 卷 期:2014年第34卷第1期

页      面:125-140页

核心收录:

学科分类:07[理学] 08[工学] 070104[理学-应用数学] 0701[理学-数学] 080102[工学-固体力学] 0801[工学-力学(可授工学、理学学位)] 

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) 

主  题:elastic domain Cauchy type integral displacement perturbation 

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.

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