Premium
Stability of the second fundamental problem under perturbation of the boundary curve in plane elasticity
Author(s) -
Juan Lin,
Chuanrong Wang,
Kunmei Yan
Publication year - 2010
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1299
Subject(s) - mathematics , mathematical analysis , perturbation (astronomy) , elasticity (physics) , cauchy distribution , unit circle , boundary value problem , complex plane , physics , quantum mechanics , thermodynamics
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.