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Stability of the second fundamental problem under perturbation of the boundary curve in plane elasticity
Authors:Lin Juan  Wang Chuanrong  Yan Kunmei
Institution:1. Department of Foundation, Fujian Commercial College, Fuzhou, Fujian 350012, China;2. Department of Mathematics, Fuzhou University, Fuzhou, Fujian 350002, China
Abstract:Let the elastic domain be a disk, and its boundary the unit circle. By dint of the stability of Cauchy‐type integral with respect to the perturbation of integral curve, this paper discusses the stability of the complex stress functions to the second fundamental problem in plane elasticity when smooth perturbation happens for the boundary curve. Copyright © 2010 John Wiley & Sons, Ltd.
Keywords:elastic domain  Cauchy‐type integral  complex stress functions  smooth perturbation  stability
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