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考虑金属裂纹板复合材料单面胶接修补结构的几何非线性和边界条件,建立了考虑弯曲变形单面修补结构力学分析模型,计算出承受面内载荷时修补结构的弯矩和挠度,将补片自由端和金属板裂纹处的弯矩作为胶层应力控制微分方程的边界条件,推导出剪应力和剥离应力的解析解,及裂纹张开位移的表达式,并与有限元数值结果进行对比。分析结果表明,胶接修补结构应力分析理论模型和相关简化假设合理、正确。利用所建立的解析模型研究了金属裂纹复合材料单面胶接修补结构的应力分布特点及胶层主导破坏模式的失效机制,为胶接修补结构的承载能力分析以及结构改进设计提供了一定的理论依据。
Considering the geometrical nonlinearity and the boundary conditions of repairing structure of single cracked sheet metal composite with cracked plate, the mechanical analysis model of single repaired structure considering bending deformation is established and the bending moment and deflection of the repaired structure are calculated when the in-plane load is applied. As the boundary condition of the stress-controlled differential equation, the analytical solution of shear stress and peel stress and the expression of crack opening displacement are deduced and compared with the finite element numerical results . The analysis results show that the stress analysis theoretical model and the related simplified assumptions of the adhesive patch structure are reasonable and correct. The analytical model was used to study the stress distribution characteristics and the failure mechanism of the main failure mode of the metal cracked composite, which provided a theory for the analysis of the bearing capacity of the bonded repair structure and the structural improvement design in accordance with.