含界面相效应的纤维增强复合材料桥联增韧力学分析

本文对纤维增强复合材料桥联增韧进行了详细的断裂力学分析，基于Ｃａｓｔｉｇｌｉａｎｏ＇ｓ定理和界面剪滞模型，得到了含界丰效应的复合材料桥联增专访和裂纹线开位移的控制议程；并按照第二类Ｆｒｅｄｈｏｌｍ积分方程的迭代解法，给出其数值结果，为例题于分析界面相参数对增韧效果的影响，寻求了该控制方程的近似解解析表达式，对近似解进行了误差估计，证明了解的可行性，在此基础上得到了界面剪切模量，裂纹长度。界面厚度，

BRIDGE-TOUGHENING ANALYSIS OF THE FIBER REINFORCED COMPOSITE CONTAINING INTERPHASE EFFECT

A detailed fracture mechanics analysis of bridge-toughening in a fiber reinforced composits is presented in the peper. The integral equation governing bridge-toughening as well as crack opening displacement (COD) for the composite with interfacial layer are dedued from the Castigliano's theorem and interface shear-lag model. A numerical result of the COD equation is obtained by using the iteration solution of Fredholm integral equation of second kind. In order to investigate the effect of various parameters on the toughening, an approximate analytical solution of the equation is provided and its error analysis is Performed, which demonstrated the approximation solution to be available. A perametric study of the influence of the crack length, interfacial shear modulus, thickness of the interphase, fiber radius, fiber volume fraction and properties of materials on composite toughening is therefore carried out. The results are useful for experimental demonstration and toughening design including fabrication process of the composite.