基于分形维数的3D打印钢渣水泥基材料单轴压缩试验的细观破坏规律

Fractal dimension-based fine-scale damage law for uniaxial compression test of 3D printed steel slag cementitious materials

  • 摘要: 为了深入探讨3D打印钢渣水泥基材料的破坏形态、裂纹扩展与层间关系,以单轴压缩前后材料的分形维数变化为研究焦点,利用CT图像技术获取加载至90%预估破坏荷载的二维图像,借助图像处理软件提取细观破坏裂纹,基于分形几何理论,以分形维数揭示裂纹在层间的扩展规律,建立分形维数与裂纹特征之间的关系。结果表明:3D打印材料较浇筑材料表现更为脆性,强度特征值降低;3D打印钢渣水泥基材料的孔隙率、孔径、裂纹分数和裂纹宽度的变化受层间变化影响;分形维数可量化描述内部裂纹的扩展情况,分形维数与裂纹分数、裂纹面积之间的线性相关性相对较高,而裂纹长(宽)度对其的相关性相对较弱。本研究为3D打印水泥基材料的层间特性改善与研究提供了理论和实验基础。

     

    Abstract: In order to deeply explore the damage morphology, crack extension and interlayer relationship of 3D printed steel slag cementitious materials, taking the change of fractal dimension of materials before and after uniaxial compression as the focus of the study, CT image technology was used to obtain 2D images loaded to 90% of the predicted damage load, and the microscopic damage cracks were extracted with the help of image processing software. Based on the theory of fractal geometry, the fractal dimension was used to reveal the extension law of cracks in the interlayer, and the relationship between fractal dimension and crack characteristics was establish. Based on the fractal geometry theory, the fractal dimension was used to reveal the crack expansion law between layers and establish the relationship between the fractal dimension and the crack characteristics. The results show that: 3D printed materials show more brittle and lower strength eigenvalues than cast materials; the changes of porosity, pore diameter, crack fraction and crack width of 3D printed steel slag cementitious materials are affected by the interlayer variations; Fractal dimension quantitatively describes the expansion of internal cracks, and the linear correlation between fractal dimension and crack fraction and crack area is relatively high, while the correlation between crack length (width) is relatively weak. This study provides a theoretical and experimental basis for the improvement and study of the interlayer properties of 3D printed cementitious materials.

     

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