Analytical model for prediction of J-internal of single-side-patched plates
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摘要: 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含中心穿透裂纹直板解析模型,求解了修补结构基板的最大最小应力,并与有限元结果进行对比验证,研究了补片长度、宽度、厚度和胶层弹性模量对有限元模型裂纹尖端J积分的影响,通过拟合基板应力与有限元模型裂纹尖端J积分的数值关系,得到了求解修补结构裂纹尖端J积分的解析公式,并验证了其在单面修补弯曲板的适用性。通过研究和分析发现,求解的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。Abstract: Based on single-side strap joint configuration theory, an analytical model of cracked flat plate repaired by single-sided patch considering the influence of additional bending moment was established. Through the analytical model, the maximum stress and minimum stress in base plate were calculated, which were compared with the FE results. The effect of patch length, patch width, patch thickness and adhesive elastic modulus on the J-internal values around the crack tips were analyzed, and the analytical equation for J-internal was obtained by fitting the magnitude relation between the stress in base plate and J-internal, the validity of which predicting the J-internal in cracked curved plate repaired by single-sided patch was also proved. The analysis shows that the model can be applied to flat or curved plates subjected to in-plane loadings or out-of-plane bending loadings.
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