变厚度非均匀粘弹性复合圆柱体的旋转应力  

Stresses in a Rotating Heterogeneous Viscoelastic Composite Cylinder With Variable Thickness

作　　者：A·M·任库尔 黄锋(译) 张禄坤(校) 

机构地区：[1]阿卜杜勒阿齐兹国王大学理学院数学系,80203邮箱,吉达21589,沙特阿拉伯 [2]卡夫拉一谢赫大学理学院数学系,卡夫拉-谢赫35516,埃及 [3]不详

出　　处：《应用数学和力学》2011年第4期483-496,共14页Applied Mathematics and Mechanics

摘　　要：在平面应变的假设下,给出了两个复合弹性圆柱体旋转时的解析解.外柱是由厚度按公式变化的正交各向异性材料所组成,它包裹着一个等厚度纤维增强粘弹性均匀各向同性的实心圆柱体.外圆柱体的厚度和弹性性质按半径方向的幂函数变化.应用边界和连续条件,确定复合圆柱体旋转时的径向位移和应力,应用等效模量和Illyushin逼近法,得到问题的粘弹性解.讨论了各向异性、厚度变化、本构参数以及时间参数,对径向位移和应力的影响.An analytical solution for the rotation problem of a two-layer composite elastic cylinder under plane strain assumption was presented.The external cylinder had variable-thickness formulation and made of a heterogeneous orthotropic material.It was contained by a fiber-reinforced viscoelastic homogeneous isotropic solid core of uniform-thickness.The thickness and elastic properties of the external cylinder were taken as power functions of the radial direction.On application of the boundary and continuity conditions,the radial displacement and stresses for the rotating composite cylinder were determined.The effective moduli and Illyushin＇s approximation methods were used to obtain the viscoelastic solution of this problem.The effects of heterogeneity,thickness variation,constitutive and time parameters on the radial displacement and stresses were investigated.

关 键 词：旋转的复合圆柱体 正交各向异性 非均匀性 变厚度 纤维增强的粘弹性核心体 

分 类 号：O343[理学—固体力学]