摘要
The damage theory of materials reinforced by unidirected fibers is investigated. The microprocesses, such as microcrack opening and growing, fiber debonding and frictional slipping, are all taken into account. By taking the depth of dual displacements and the size of microcracks as two kinds of damage variables, the damage evolution equations are given. The basic integral equation for determining the stress of bridging fibers is derived and solved approximately, and its results are in good agreement with the exact solution by Hankel’s transformation. Based on the approximate solution, the effective stress intensity factor is obtained, the matrix cracking criterion and the complete constitutive relation are formulated.
The damage theory of materials reinforced by unidirected fibers is investigated. The microprocesses, such as microcrack opening and growing, fiber debonding and frictional slipping, are all taken into account. By taking the depth of dual displacements and the size of microcracks as two kinds of damage variables, the damage evolution equations are given. The basic integral equation for determining the stress of bridging fibers is derived and solved approximately, and its results are in good agreement with the exact solution by Hankel's transformation. Based on the approximate solution, the effective stress intensity factor is obtained, the matrix cracking criterion and the complete constitutive relation are formulated.