3D打印GFRP层内失效力学行为的理论模型及细观机制

Theoretical models and meso-scale mechanism of in-layer failure mechanicalbehaviours of 3D printing GFRP

  • 摘要: 为实现3D打印纤维增强树脂基复合材料(Fiber reinforced polymer,FRP)桥梁工程构件力学性能的精确分析,推进3D打印FRP技术在桥梁工程中的应用,本文分别从理论及试验角度对3D打印FRP的关键力学性能进行了探索。首先,结合打印FRP的细观结构空间几何特征,提出了打印丝连续假设。进而,基于该假设及面内应力转轴模型,构建了层内应力下3D打印FRP的杨氏模量分析预测模型。同时,考虑材料的多种失效模式,基于Tsai-Wu理论建立了层内应力下该材料的抗拉强度分析预测模型,且该模型考虑了4种不同的剪切强度计算模式。其次,考虑材料的打印角度、线宽及层厚,设计了系统性的杨氏模量及抗拉强度测试分析试验,对上述两类理论模型的精确性进行了验证。研究结果表明:打印角度与杨氏模量及抗拉强度之间呈明显的负相关关系,当打印角度从0°增加至90°时,杨氏模量的减小幅度范围为65.48%~79.62%,抗拉强度的减小幅度范围为50.99%~71.55%。打印线宽对杨氏模量及抗拉强度的影响较明显,0.6 mm及0.8 mm线宽下材料的两类关键力学性能相近,且均明显强于0.4 mm线宽下的力学性能,其中杨氏模量的变化幅度范围为20.18%~49.27%,抗拉强度的变化幅度范围为27.53%~54.55%。宏观尺度失效结果表明,存在两类失效模式,分别为打印丝断裂失效及打印丝分离失效。同时,本文从细观尺度揭示了两类失效模式产生的机制及打印参数对关键力学性能的影响机制。综上,本次构建的两类模型为量化评价3D打印FRP桥梁工程构件的关键力学性能提供了理论支撑。

     

    Abstract: In order to realize the accurate analysis of mechanical properties of 3D printing fiber reinforced polymer (FRP) bridge components and promote the application of 3D printing FRP technology in bridge engineering, the key mechanical properties of 3D printing FRP were explored based on theoretical and experimental methods. Firstly, the hypothesis of printing filament continuity was proposed based on the spatial geometry characteristics of the meso-structure of printing FRP. Based on the hypothesis and the in-plane stress rotation axis model, the Young's modulus analysis and prediction model of 3D printing FRP under in-layer stress was constructed. At the same time, considering multiple failure modes of the material, a tensile strength prediction model under in-plane stress was established based on Tsai-Wu theory, and four different shear strength calculation modes were considered in this model. Secondly, considering the printing angle, filament width, and layer thickness, systematic testing and analysis of Young's modulus and tensile strength were designed to verify the accuracy of the above two theoretical models. The results show that there is an obvious negative correlation between printing angle and the two kinds of key mechanical properties. When the printing angle increases from 0° to 90°, the decrease range of Young's modulus is 65.48%-79.62%, and the decrease range of tensile strength is 50.99%-71.55%. The filament width has obvious influence on Young's modulus and tensile strength. These two kinds of key mechanical properties with 0.6 mm and 0.8 mm filament width are similar to each other, and both are significantly bigger than those with 0.4 mm filament width. The variation range of Young's modulus is 20.18%-49.27%, and the variation range of tensile strength is 27.53%-54.55%. The macro-scale failure results show that there are two types of failure modes, namely, printing filament fracture and printing filament separation. Additionally, the mechanism of the two types of failure modes and the influence mechanism of printing parameters on the key mechanical properties are revealed from the meso-scale. In conclusion, these two models established in this study provide theoretical support for the quantitative evaluation of the key mechanical properties of 3D printing FRP bridge engineering components.

     

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