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《固体力学学报(英文版)》 2017-03
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Minimizing stress concentrations around an elliptical hole by concentrated forces acting on the uniaxially loaded plate

Aizhong Lu;Ning Zhang;Guisen Zeng;Institute of Hydroelectric and Geotechnical Engineering, North China Electric Power University;  
When concentrated forces are applied at any points of the outer region of an ellipse in an infinite plate, the complex potentials are determined using the conformal mapping method and Cauchy's integral formula. And then, based on the superposition principle, the analytical solutions for stress around an elliptical hole in an infinite plate subjected to a uniform far-field stress and concentrated forces, are obtained. Tangential stress concentration will occur on the hole boundary when only far-field uniform loads are applied. When concentrated forces are applied in the reversed directions of the uniform loads, tangential stress concentration on the hole boundary can be released significantly. In order to minimize the tangential stress concentration, we need to determine the optimum positions and values of the concentrated forces. Three different optimization methods are applied to achieve this aim. The results show that the tangential stress can be released significantly when the optimized concentrated forces are applied.
【Key Words】: Elliptical hole Closed-form solution for stress Cauchy’s integral method Minimum stress concentration Optimization
【Fund】: supported by the National Natural Science Foundation of China [grant numbers 11172101 11572126]
【CateGory Index】: O343.4
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