摘要
建立了包含任意层同轴圆柱壳体模型,并得到了热载荷作用下的空间轴对称控制方程．利用局部/总刚度矩阵方程方法,在假定材料的性质与温度无关的情形下获得了具有任意涂层正交各向异性单向短纤维复合材料的热弹性解析解．相比于经典的弹性力学方法——根据界面应力和位移连续联立方程组求解,所用方法极大地减少了未知量的个数,便于计算机编程．最后,针对具体的算例,给出了多涂层单向短纤维增强复合材料在热载荷作用下的位移场和应力场,分析了纤维体积含量V_f对复合材料位移和应力分布的影响．
When the thermal elastic response of unidirectional short fiber composite is mvestigated, a micromechanics model that includes arbitrarily layercd concentric cylinders is used. The material of each layer is treated as orthotropic and its parameters are temperature-independent. Due to the axisymmetry of the modal configuration and loading, this problem is converted to special ~xisymmetric boundary-value problem. A simple analytical solution can be obtained by simplifying the form of the displacements of the governing differential equations. Using the local/global stiffness matrix formulation, those unknown coefficients in the analytical solution can be determined. Compared with direct simultaneous equations, this method can reduce the number of unknown coefficients and mak it simple to solve the problem by computer procedure. The numerical results of the displacement and stress tield in and around a coated short fiber in a composite are given, and a parametric study of the volume fraction of fiber （Vf） is also done.
出处
《兰州大学学报（自然科学版）》
CAS
CSCD
北大核心
2007年第2期129-133,共5页
Journal of Lanzhou University(Natural Sciences)
基金
国家自然科学基金(10472039).
