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

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, th...

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Bibliographic Details
Published in:Acta mechanica Vol. 227; no. 9; pp. 2427 - 2437
Main Authors: Yang, Quanquan, Gao, Cun-Fa
Format: Journal Article
Language:English
Published: Vienna Springer Vienna 01.09.2016
Springer
Springer Nature B.V
Subjects:
Classical and Continuum Physics
Complex variables
Constants
Control
Dynamical Systems
Elastic constants
Elasticity
Engineering
Engineering Thermodynamics
Functionally gradient materials
Heat and Mass Transfer
Infinity
Mathematical models
Original Paper
Shear stress
Solid Mechanics
Stress concentration
Stress distribution
Studies
Theoretical and Applied Mechanics
Vibration
Uniaxial Tension
Circular Hole
Stress Concentration
Stress Concentration Factor
Hoop Stress
ISSN:0001-5970, 1619-6937
Online Access:Get full text
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Summary: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.
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ISSN:0001-5970
1619-6937
DOI:10.1007/s00707-016-1620-7