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.
It has been reported that the reduced stiffness of non-homogeneous cylindrically orthotropic circular plate varins exponentially with radius r is obtainedby using the bending theory of a simple beam.The aim of this paper is to verify the effect of radius on the material properties. According to the flat stress-strain relation, the values of materialproperties Er, Eθ and νθr which are the functions of radius r are obtained.Compared with the experimental values, the analytical values of the materialproperties are in essential agreement with them.
出处
《应用数学和力学》
CSCD
北大核心
1997年第12期1139-1143,共5页
Applied Mathematics and Mechanics
关键词
非均匀圆柱型
圆板
正交各向异性
指数规律
non-homogeneous cylindrical orthotropic circular plate
transitional region
core-radius ratio
exponential rule