层内混杂复合材料断裂纤维附近的应力重分布
STRESS REDISTRIBUTION AROUND A BROKEN FIBER IN AN INTERMINGLED HYBRID COMPOSITE SHEET
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摘要: 研究了层内混杂复合材料的高模量纤维断裂引起的邻近各层应力重分布问题。通过建立适当的计算模型,利用二维弹性力学精确解和付氏变换法,建立问题的奇异积分方程组,通过求解方程组,计算高、低模量层和基体层的应力集中因子,计算结果对"混杂效应"作出了理论解释,并与一般采用的Shear-Lag理论计算结果作了比较,本文结果更精确、合理,可应用于层内混杂复合材料的设计。Abstract: The stress redistribution of fibers immediately adjacent is examined to a broken high modulus fiber in an intermingled hybrid composite. The problem was formulated by establishing the proper analysis model, and the solutions of two-dimensional elastic mechanics in conjunction with the Fourier transform were adopted to set up the singular integral equations for this problem. From the solution of these equations, the stress concentration factors(SCF) were evaluated for the high and low modulus fibers and matrix. The numerical analysis results provide a theoretical explanation of the observed"hybrid effect".Compared with the existing Shear-Lag theory results, the present analysis results are more accurate and reasonable, and can be used in the design of intermingled hybrid composites.