Acta Mechanica

, Volume 227, Issue 9, pp 2427–2437 | Cite as

Reduction of the stress concentration around an elliptic hole by using a functionally graded layer

  • Quanquan Yang
  • Cun-Fa Gao
Original Paper


The aim of this paper is to study the problem of stress concentration in an infinite plate with an elliptic hole reinforced by a functionally graded layer based on the complex variable method combined with the technique of conformal mapping. With using the method of piece-wise homogeneous layers, the general solution for the functionally graded layer having normal arbitrary elastic properties is derived when the plate is subjected to arbitrary constant loads at infinity, and then numerical results are presented for several special examples. It is found that the existence of the functionally graded layer can influence the stress distribution in the plate, and thus choosing proper variations of the normal elastic properties and proper thicknesses of the layer can effectively reduce the stress concentration around the elliptic hole.


Stress Concentration Uniaxial Tension Circular Hole Hoop Stress Stress Concentration Factor 
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Copyright information

© Springer-Verlag Wien 2016

Authors and Affiliations

  1. 1.Jiangsu Province Key Laboratory of Advanced Manufacturing TechnologyHuaiyin Institute of TechnologyHuai’anChina
  2. 2.State Key Laboratory of Mechanics and Control of Mechanical StructuresNanjing University of Aeronautics and AstronauticsNanjingChina

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