论文标题
纤维增强复合梁的渐近理论
Asymptotically exact theory of fiber-reinforced composite beams
论文作者
论文摘要
对纤维增强复合束的能量功能进行了渐近分析,并在其横截面中进行了周期性微观结构。通过该分析,得出了渐近精确的能量以及一阶的1-D光束理论。梁的有效刚度是根据细胞的数值解决方案和均质化的横截面问题来计算的。
An asymptotic analysis of the energy functional of a fiber-reinforced composite beam with a periodic microstructure in its cross section is performed. From this analysis the asymptotically exact energy as well as the 1-D beam theory of first order is derived. The effective stiffnesses of the beam are calculated in the most general case from the numerical solution of the cell and homogenized cross-sectional problems.