关于非均匀圆柱型正交各向异性图板材料性质的研究
An Investigation on Material Properties of Non-Homogeneous Cylindrically Orthotropic Circular Plates
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摘要: 在我们已发表的一文中,根据梁的弯曲理论得到了非均匀圆柱型正交各向异性圆板的折算刚度随半径按指数变化的规律.本文的目的在于进一步证明半径对材料性质的影响.按照平面应力一应交关系,我们得到材料性质的数值Eγ,Eθ,νθγ是半径γ的函数.我们所得到的解析结果与实验结果是一致的.Abstract: It has been been reported that the reduced stiffness of non-homogeneous cylindrically orthotrpic circular plate varing exponentially with radius r is obtained by using the bending theory of a simple beam.The aim of this paper is to verify the effect of radius on the materal properties. According to the flat stress-strain relation, the values of material properties Er Ea and vθr which are the functions of radius r are obtained.Compared with the experimental values, the analytical values of the material properties are in essential agreement with them.
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[1] G.F.Carrier and N.Y.Ithaca.Stress distribution in cylindrically aeolotropic plates.J Appl.Mech.10,3 (1943).A117-A122. [2] B.L.Dhoopar and P.K.Sinha.A micro-mechanics study on the mechanical propertiesof cylindrically orthotropic composites.Fibre Set.Tech. 14.4 (1981).261-278. [3] P.K.Sinha and B.L.Dhoopa;.Effect of radius on material properties of cylindricallyreinforced composite sheets:An experimental investigation.Fiber Set.Tech. 15,2 (1981),117~125. [4] 范赋群、董万林,非均匀圆柱型正交各向异性圆板的弯曲,力学学报,17(5) (1985),461-471. [5] 秦圣立,非均匀圆柱型正交各向异性圆板的弯曲问题,应用数学和力学,15(10) (1994),911-918. [6] 何福保、亚鹏编著,《板壳理论》,西安交通大学出版社(1993).
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