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混凝土在建筑、水利、海洋和道路工程中应用广泛,其弹性模量是结构变形计算的关键参数.将混凝土细观结构模拟与快速傅里叶变换相结合,提出了混凝土弹性模量预测的数值方法.考虑周期性边界条件给出了多边形骨料和界面在水泥石基体中的随机分布模拟方法.利用快速傅里叶变换方法给出了三相混凝土在外荷载作用下的平均应力、平均应变和弹性模量.将数值方法与文献中的试验数据进行比较,结果表明:当骨料面积百分数分别为40%,60%时,它们之间的相对误差小于5%,初步验证了该数值方法的有效性.基于数值结果,量化了界面弹性模量和厚度对混凝土弹性模量的影响,发现提高界面弹性模量或减小界面厚度都可以有效提高混凝土弹性模量.
Concrete is widely used in construction, water conservancy, marine and road engineering, and its elastic modulus is the key parameter of structural deformation calculation.Combining the concrete meso-structure simulation and fast Fourier transform, the numerical value of concrete elastic modulus prediction The random distribution method of polygonal aggregate and interface in cement matrix is given considering periodic boundary conditions.The average stress, average strain and average strain of three-phase concrete under external load are given by means of fast Fourier transform The results show that the relative error between them is less than 5% when the aggregate area percentages are 40% and 60%, respectively. The results of the numerical method Effectiveness.According to numerical results, the effect of interfacial elastic modulus and thickness on the elastic modulus of concrete is quantified, and it is found that increasing interfacial elastic modulus or decreasing interfacial thickness can effectively increase the elastic modulus of concrete.