摘要
复合材料单面修补结构受力后会产生附加弯矩,对修补效果产生消极的影响。考虑附加弯矩的影响,基于单搭接接头理论建立了单面修补裂纹板的简易解析模型,对不同载荷形式下两类基板裂纹尖端的J积分进行了求解,以表征修补的效果,并与数值计算结果进行对比分析。通过研究和分析发现,数值计算结果与解析结果一致,验证了解析解模型在单面修补结构中预测J积分的有效性;解析模型适用于承受面内载荷、面外载荷以及混合载荷下的平板和弯曲板修补结构;通过此模型可以对已知弹性模量、厚度和裂纹尺寸的含裂纹直板和弯曲板进行复合材料补片材料属性(即弹性模量)和尺寸的设计,以获得预定修补效果。
Additional bending moment, produced by single-side-patched structure when subjected to loading, has negative effects on the mechanical properties of repaired structure. Based on singleside strap joint configuration theory, an analytical model of cracked plate repaired by single-sided patch considering the influence of additional bending moment was established. Through the analytical model, the J-integral values around the crack tips for two types of base plate underdifferent types of loading were obtained as the target of repair effect, which were compared with that of finite element method. The analysis shows that the results of analytical models are accord to that of finite element models, which confirming the validity of analytical model in predicting the J-integral. The model can be applied to flat or curved plates subjected to in-plane or out-ofplane bending loading. The analytical model can be utilized to select the patch material(i.e., elastic modulus of the material) and patch dimensions required to achieve the desired J-integral for a cracked base plate with known modulus, thickness, and crack size.
引文