109 Stress Concentrations of an Elastic Semi-infinite Plate with a Circular Hole under a Concentrated Load Acting on the Straight Edge

2005 ◽  
Vol 2005 (0) ◽  
pp. 17-18
Author(s):  
Ryo KOBAYASHI ◽  
Hisao HASEGAWA
Keyword(s):  
Circular Hole ◽  
Infinite Plate ◽  
Straight Edge ◽  
Stress Concentrations ◽  
Concentrated Load

Quasi-Square Hole With Optimum Shape in an Infinite Plate Subjected to In-Plane Loading

1981 ◽  
Vol 103 (4) ◽  
pp. 866-870 ◽  
Author(s):  
A. J. Durelli ◽  
K. Rajaiah
Keyword(s):  
Stress Concentration ◽  
Circular Hole ◽  
Biaxial Loading ◽  
Optimization Technique ◽  
Infinite Plate ◽  
Efficiency Factor ◽  
Optimum Shape ◽  
Stress Concentrations ◽  
Large Plate ◽  
Square Hole

This paper deals with the optimization of the shape of the corners and sides of a square hole, located in a large plate and subjected to in-plane loads, with the object of minimizing stress concentrations. Appreciable disagreement has been found between the results obtained previously by other investigators. In this paper new tests have been conducted and discrepancies have been corrected. Using an optimization technique, the authors have developed a quasi square shape which introduces a stress concentration of only 2.54 in a uniaxial field, the comparable value for the circular hole being 3. The efficiency factor of the proposed optimum shape is 0.90 whereas the efficiency factor of the best shape developed previously was 0.71. The shape also is developed that minimizes the stress concentration in the case of biaxial loading when the ratio of biaxiality is 1:-1.

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