Stress Analysis Of An Infinite Plate With A Coated Elliptic Hole

The perforated plate is the common component in engineering. Because of thehole in the plate destroyed the geometric discontinuity, it makes local stressconcentration at the edge of the hole. In the structure design, in order to reducestress concentration people usually take some measures like improving geometricconfiguration of the structure, selecting the appropriate position and direction ofthe hole, strengthening the hole. Sticking strengthening layer inside of the hole isone way of strengthening the hole. Based on the complex variable function methodand the technique of conformal mapping, a general solution for the elasticityproblem of a reinforced elliptic hole with homogenous materials and functionallygradient materials in an infinite plate subjected to a remote uniform load is providedin this paper. The series expansion solution for the displacement and stresses in thereinforcement ring and the plate are derived explicitly, and the results are provedby the finite element analysis software, and the effects of the material property andgeometric configurations on the interfacial stresses are investigated.In the case of single material as strengthening layer, the results show that themaximum stresses at the elliptic boundary of the plate drop off evidently ifappropriate material and geometric configurations of the reinforcing ring arechosen. The changes of the material property and geometric configurations of theelliptical ring have a big effect on the generation position of the maximum of hoopstress and have no effect on the generation position of the maximum radial stressand the maximum shearing stress. In the case of functionally gradient materials asstrengthening layer, according to the function which is the basis of the internalelastic modulus’s change of the functionally gradient materials, it can reduce thehoop stress of the elliptic hole when we select some appropriate parameters in thefunction. The thickness of the functionally gradient materials also has a big effecton the stress around the elliptic hole.