碳纤维增强树脂基复合材料薄壁圆柱壳轴压峰后响应的路径能量判据

Path-energy criteria for post-peak response of carbon fiber reinforced polymer thin-walled cylindrical shells under axial compression

  • 摘要: 针对碳纤维增强树脂基复合材料(CFRP)薄壁圆柱壳轴压后屈曲阶段峰值承载与峰后早期承载保持能力难以统一评价的问题,建立了无损伤几何后屈曲路径和损伤耦合后屈曲路径两类对照工况,并定义峰值点至首次10%掉载点之间的标准峰后窗口。在该窗口内,引入承载路径差 \eta _\rmP(s) 和损伤能量比例 \zeta (s) ,结合综合失效激活区域表征层内失效后的刚度退化分布。结果表明,均衡剪切参与铺层S2的峰值载荷为67.63 kN,高于均衡正交铺层O2的60.26 kN,但其标准峰后窗口仅为0.00390 mm,约为O2的16.5%;O-series中O2峰值较高而O1窗口较长,S-series中S1/S2表现为高峰值短窗口,S3表现为低峰值长窗口。路径差 \eta _\rmP(s) 和损伤能量比例 \zeta (s) 进一步揭示了短窗口内损伤能量集中、渐进路径改写和低能量比例下路径敏感等峰后退化模式。该窗口化路径能量评价方法可为CFRP薄壁圆柱壳铺层方案比较和失效机制判读提供量化依据。

     

    Abstract: To evaluate the peak load and early post-peak load-retention capacity of carbon fiber reinforced polymer (CFRP) thin-walled cylindrical shells under axial compression, two comparative numerical conditions were established, namely an undamaged geometrically nonlinear post-buckling path and a damage-coupled post-buckling path. A standard post-peak window was defined from the peak point to the first 10% load reduction point. Within this window, a load-path difference \eta _\rmP(s) and a damage-related energy ratio \zeta (s) were introduced, and the activated failure region was further used to characterize the spatial distribution of stiffness degradation after intralaminar failure. The results show that the balanced shear-participating layup S2 reaches a peak load of 67.63 kN, higher than 60.26 kN of the balanced orthogonal layup O2, whereas its standard post-peak window is only 0.00390 mm, approximately 16.5% of that of O2. In the O-series, O2 gives a higher peak load while O1 provides a longer post-peak window; in the S-series, S1 and S2 show high-peak short-window responses, while S3 shows a low-peak long-window response. The combined use of \eta _\rmP(s) and \zeta (s) identifies several post-peak degradation modes, including damage-energy concentration within a short window, progressive path modification, and path-sensitive response with a low energy ratio. The proposed windowed path-energy evaluation method provides quantitative indicators for layup comparison and failure-mechanism interpretation of CFRP thin-walled cylindrical shells.

     

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