Zhang Hongzhi, Šavija Branko, Chaves Figueiredo Stefan, Lukovic Mladena, Schlangen Erik
Faculty of Civil Engineering and Geosciences, Delft 2628 CN, The Netherlands.
Materials (Basel). 2016 Nov 8;9(11):907. doi: 10.3390/ma9110907.
This work aims to provide a method for numerically and experimentally investigating the fracture mechanism of cement paste at the microscale. For this purpose, a new procedure was proposed to prepare micro cement paste cubes (100 × 100 × 100 µm³) and beams with a square cross section of 400 × 400 µm². By loading the cubes to failure with a Berkovich indenter, the global mechanical properties of cement paste were obtained with the aid of a nano-indenter. Simultaneously the 3D images of cement paste with a resolution of 2 µm³/voxel were generated by applying X-ray microcomputed tomography to a micro beam. After image segmentation, a cubic volume with the same size as the experimental tested specimen was extracted from the segmented images and used as input in the lattice model to simulate the fracture process of this heterogeneous microstructure under indenter loading. The input parameters for lattice elements are local mechanical properties of different phases. These properties were calibrated from experimental measured load displacement diagrams and failure modes in which the same boundary condition as in simulation were applied. Finally, the modified lattice model was applied to predict the global performance of this microcube under uniaxial tension. The simulated Young's modulus agrees well with the experimental data. With the method presented in this paper the framework for fitting and validation of the modelling at microscale was created, which forms a basis for multi-scale analysis of concrete.
这项工作旨在提供一种在微观尺度上对水泥浆体断裂机制进行数值和实验研究的方法。为此,提出了一种新的程序来制备微观水泥浆体立方体(100×100×100µm³)和具有400×400µm²方形横截面的梁。通过使用Berkovich压头将立方体加载至破坏,借助纳米压痕仪获得水泥浆体的整体力学性能。同时,通过对微观梁应用X射线显微计算机断层扫描,生成分辨率为2µm³/体素的水泥浆体三维图像。在图像分割后,从分割图像中提取与实验测试样本尺寸相同的立方体积,并将其用作晶格模型的输入,以模拟该非均质微观结构在压头加载下的断裂过程。晶格单元的输入参数是不同相的局部力学性能。这些性能是根据实验测量的载荷位移图和破坏模式进行校准的,其中应用了与模拟中相同的边界条件。最后,应用改进的晶格模型预测该微立方体在单轴拉伸下的整体性能。模拟得到的杨氏模量与实验数据吻合良好。利用本文提出的方法,建立了微观尺度建模的拟合和验证框架,为混凝土的多尺度分析奠定了基础。