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Smart Structures and Systems
  Volume 19, Number 2, February 2017 , pages 203-211
DOI: https://doi.org/10.12989/sss.2017.19.2.203
 


Numerical solution for multiple confocal elliptic dissimilar cylinders
Y. Z. Chen

 
Abstract
    This paper provides a numerical solution for multiple confocal elliptic dissimilar cylinders. In the problem, the inner elliptic notch is under the traction free condition. The medium is composed of many confocal elliptic dissimilar cylinders. The transfer matrix method is used to study the continuity condition for the stress and displacement along the interfaces. Two cases, or the infinite matrix case and the finite matrix case, are studied in this paper. In the former case, the remote tension is applied in y- direction. In the latter case, the normal loading is applied along the exterior elliptic contour. For two cases, several numerical results are provided.
 
Key Words
    confocal elliptic dissimilar cylinders; stress concentration factor; complex variable method; transfer matrix method
 
Address
Y. Z. Chen: Division of Engineering Mechanics, Jiangsu University, Zhenjiang, Jiangsu, 212013, P.R. China
 

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