A structure-based modelling framework was established to simulate the three-dimensional autogenous shrinkage of cement paste. A cement hydration model, HYMOSTRUC3D-E, was used to obtain the microstructures and ionic concentrations of the cement paste. A lattice fracture model based on the effective stress and effective modulus was used to consider the elastic and creep parts of autogenous shrinkage. For Portland cement pastes with water-to-cement ratios of 0.3 and 0.4 (where the time zero of autogenous shrinkage was set as the time of the drop in internal relative humidity), the simulated linear elastic autogenous shrinkage was respectively −188 and −79 μm/m at 160 h. The obtained linear total autogenous shrinkage including elastic and creep deformations was respectively −501 and −236 μm/m at 160 h. These values of the elastic autogenous shrinkage and total autogenous shrinkage are close to the predications of poromechanical models and experimental data obtained using a corrugated tube.

建立了基于结构的建模框架来模拟水泥浆体的三维自收缩。水泥水化模型 HYMOSTRUC3D-E 用于获得水泥浆体的微观结构和离子浓度。采用基于有效应力和有效模量的晶格断裂模型来考虑自收缩的弹性部分和蠕变部分。对于水灰比为 0.3 和 0.4 的波特兰水泥浆体（其中自收缩的零时间设置为内部相对湿度下降的时间），模拟的线弹性自收缩分别为 -188 和 -79 160 小时时的微米/米。在 160 小时时，获得的线性总自收缩率（包括弹性变形和蠕变变形）分别为 -501 和 -236 μm/m。