【摘 要】
：
This paper is to present a general solution to reduce the stress concentration around an elliptic hole in an infinite homogeneous plate subjected to far-fie
【机 构】
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JiangsuKeyLaboratoryofAdvancedManufacturingTechnology,HuaiyinInstituteofTechnology,Huai'an,223003Fa
【出 处】
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The 5th Asian Conference on Mechanics of Functional Material
论文部分内容阅读
This paper is to present a general solution to reduce the stress concentration around an elliptic hole in an infinite homogeneous plate subjected to far-field arbitrary constant loads.The elastic response of an inhomogeneous annular ring made of FGMs where both Youngs modulus and Poissons ratio vary in the normal direction,inserted around an elliptic hole of a homogeneous plate,is studied.With using the method of piece-wise homogeneous layers,the functionally graded annular ring can be decomposed to N confocal elliptical rings.When N is chosen to be large enough,the material constants in any ring can be regarded as unchanged.By means of the technique of conformal mapping,N confocal ellipses in the complex plane are transformed into N concentric circles in another complex plane,and then the complex potentials in each circular ring and the plate can be given in the form of series with unknown coefficients based on the theory of the complex variable functions.The stress and displacement continuous conditions on the interfaces are used to produce a set of linear equations containing all the coefficients.Through solving these linear equations,the complex potentials are finally obtained in each ring and plate.
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