粘贴片材加固曲梁的界面剪应力计算研究

针对工程中广泛存在的曲梁加固问题,其剥离失效主要和贴片层与原梁之间的界面应力有关。研究了一种粘贴片材加固曲梁的界面剪应力计算解析法。根据粘贴片材加固梁的变形协调条件,从推导片材加固一般梁的界面剪应力微分控制方程出发,引入粘贴片两端部的边界条件,推导出界面剪应力的一般解析解显示表达式,并将其应用于加固曲梁的界面剪应力分析。对于不同的载荷条件与梁结构,只需计算出原梁结构所承受的剪力、弯矩和轴力即可采用所推导的解析解计算加固梁的界面剪应力。最终利用所研究的方法分析两种载荷作用下,不同曲率半径的曲梁采用碳纤维增强复合材料加固的界面剪应力的分布。数值算例表明该方法计算简便,求解精度高。

Analytical Solution for Interfacial Shear Stress of Plated Curved Beams

Curved beams bonded with thin plate are often found in practice. Debonding failures depend largely on the interfacial stresses between the beam and the bonded plate. An analytical method is proposed for solving interfacial shear stress of curved beams bonded with a thin plate. The method is based on directly deformation compatibility conditions. After deducing the governing differential equation of general beam structure bonded with plate, the general analytical solution of interfacial shear stress was deduced by load conditions of both plate ends. And it can be applied to reinforced curved beams. For different load conditions and geometric structures, after calculating the shear stress, bending moment and axial force of the original beam, the interface shear stress of the plated beams can be calculated by the analytical solution. Finally, the distributions of interfacial shear stresses of the curved beam with different curvature radius subjected to two kinds of loads were analyzed by the method. Numerical examples show that the method is simple and accurate.