硬化水泥浆体弹性模量细观力学模型
Micromechanics model for the effective elastic properties of hardened cement pastes
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摘要: 应用复合材料力学理论和有孔介质力学(Poromechanics)理论建立了一个描述硬化硅酸盐水泥浆体弹性模量的细观力学模型, 将硬化水泥浆体从不同尺度上划分为4个层次, 即C-S-H凝胶、 水泥水化产物、 水泥浆体骨架和水泥浆体, 分别应用不同的细观力学模型予以描述: 将C-S-H视为饱和的有孔介质; 应用Mori-Tanaka模型描述水泥水化产物的弹性性质; 应用三相模型(Three-phase model)模拟水泥浆体骨架的有效弹性模量; 最后, 再次应用Mori-Tanaka模型和有孔介质理论, 计算水泥浆体的排水和不排水弹性模量(Drained and undrained elastic moduli)。该模型所需要的参数为水泥浆体各个组成部分的自身弹性性质, 使用方便。通过预测文献中的实测结果, 证明了该模型的有效性。Abstract: The theories of mechanics of composite materials and poromechanics were used to develop a micromechanics model capable of simulating the effective elastic properties of Portland cement pastes. Using different length scales, four composite media could be identified for cement pastes and they were simulated using different modeling schemes: the C-S-H matrix was considered as a saturated porous medium; the hydration products were modeled using the Mori-Tanaka scheme; the effective elastic properties of the skeleton of cement paste were described using the three-phase model (or the generalized self-consistent scheme model); and finally the drained and undrained elastic moduli of cement pastes were simulated using the Mori-Tanaka scheme and the theory of poromechanics. The inputs of the proposed model are the intrinsic properties of the constituent components of cement pastes and can be easily obtained in the literature. The proposed model was used to predict the experimental results in the literature and the results demonstrated the effectiveness and accuracy of the model.