The Effect of Couple-Stresses on the Stress Concentration of a Circular Inclusion

1965 ◽  
Vol 32 (2) ◽  
pp. 429-431 ◽  
Author(s):  
R. J. Hartranft ◽  
G. C. Sih
1972 ◽  
Vol 14 (2-3) ◽  
pp. 219-227 ◽  
Author(s):  
H. K. Parhi ◽  
A. K. Das

2000 ◽  
Vol 68 (3) ◽  
pp. 405-411 ◽  
Author(s):  
K. T. Chau ◽  
X. X. Wei

This paper considers analytically the stress concentration in an infinite plane loaded by a circular inclusion, which is bonded to a reinforced hole in the plane. The pulling force of the inclusion is modeled by distributed body force. The infinite plane, the reinforced ring, and the circular inclusion can be of different elastic properties. Airy stress function with body force potential was used to solve the problem analytically. Numerical results show that the maximum tensile hoop stress at the hole boundary in the plane can be reduced to becoming negligible if an optimum stiffness ratio between the plane and the rivet is chosen (normally a harder material for the reinforced ring comparing to the plane is needed). An optimum thickness of the reinforced ring can also be determined to further reduce the hoop stress concentration. Therefore, the results of the present study provide a new theoretical basis for designing a reinforced rivet hole.


1966 ◽  
Vol 6 (2) ◽  
pp. 157-171 ◽  
Author(s):  
Gunadhar Paria

SummaryThe theory of Cosserats' couple-stresses is briefly described in a cartesian system of coordinates, and is applied to the problem of stress distribution in a semi-infinite medium which possesses a non-homogeneous elastic property of an exponential type. Effects of couple-stresses on the stress concentration factors are determined both in homogeneous and non-homogeneous materials.


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