含纤维搭桥的正交各向异性材料非线性矩形脱层屈曲分析

Analysis of Non-Linear Buckling of Rectangular Delamination in Orthotropic Materials with Fiber Bridging

本文基于用挠度和应力函数表示的考虑含纤维搭桥影响的正交各向异性材料矩形脱层屈曲非线性方程组,采用伽辽金法获得了非线性矩形脱层屈曲的理论解,给出了屈曲载荷随脱层中心挠度、纤维搭桥因子及脱层几何和材料参数变化的解析关系式.通过理论计算与有限元数值结果的对比,验证了解的正确性.本文解可有效用于分析材料参数和几何参数以及纤维搭桥作用对结构非线性脱层屈曲行为的影响,对于复合材料抗压屈曲强度设计具有重要参考价值.

Based on the set of non-linear equations for rectangular delamination buckling of orthotropic materials with the fiber bridging in terms of deflection and stress function, the Galerkin method is used to solve the coupled equations. An analytical formula of the buckling load related to central deflection, fiber bridging factor, geometrical and material parameters of rectangular delamination is obtained. The resulting solution is verified by FEM simulation for the case of linear delamination buckling. The effects of fiber bridging factor and the orthotropic parameter on the buckling load of the delamination are discussed by using the formula. The present solution can be adopted to effectively analyze the influence of the existing bridging fiber and the geometrical and material parameters on the delamination buckling behavior of the laminated composites, and is of significant value to compressive strength of composite materials.