An Improved Shear Lag Model for Broken Fibers in Composite Materials
An Improved Shear Lag Model for Broken Fibers in Composite Materials
复制标题
复合材料中断裂纤维的改进剪切滞后模型
DOI：
10.1177/002199839903300704
复制
发表时间：
1999
期刊：
影响因子：
--
通讯作者：
R. McMeeking
中科院分区：
文献类型：
--
作者：
C. Landis;M. A. McGlockton;R. McMeeking
建立了单向纤维增强复合材料的剪滞模型。该模型是基于与有限元法和虚功原理一致的假设，假设矩阵位移可以从纤维位移插值。纤维被视为一维弹簧和矩阵被建模为三维有限元。通过使离散长度趋近于零，将系统的有限元方程转化为微分方程。用傅里叶变换和影响函数法求解了控制常微分方程。该技术被用来解决在一个无限的正方形或六边形的纤维阵列中的单个纤维断裂周围的应力。与以往的剪力滞模型和有限元结果进行了比较。该模型预测的应力集中与更详细的有限元分析吻合得很好。
A shear lag model is formulated to predict the stresses in a unidirectional fiber reinforced composite. The model is based on assumptions consistent with the finite element method and the principle of virtual work by assuming that the matrix displacements can be interpolated from the fiber displacements. The fibers are treated as one-dimensional springs and the matrix is modeled as three-dimensional finite elements. The resulting finite element equations for the system are transformed into differential equations by taking the discretization length to approach zero. The governing ordinary differential equations are solved using Fourier transformations and an influence function technique. The technique is used to solve for the stresses around a single fiber break in an infinite square or hexagonal array of fibers. The results are compared with previous shear lag models and finite element results. The model predicts stress concentrations that are in good agreement with more detailed finite element analyses.