本文在改进的混凝土随机骨料生成技术的基础上,基于连续介质力学的方法,采用非线性损伤本构关系描述混凝土细观各相组成——骨料、砂浆与界面的性能,建立了随机骨料数值模型与相应的细观单元参数选取方法;在算法上,通过对比二维与三维有限元隐式和显式解法求解混凝土细观力学问题所需内存及CPU时间,表明基于有限元显式解法可有效地减少内存及机时的耗费。在此基础上,引入细观各相组分力学性能的Weibull概率统计分布以表征材料的非均质性,进行了系统的研究。结果表明,细观各相组分的非均质性对混凝土力学性能具有重要影响,主要表现特征为材料力学性能的离散性与强度差异性。
With the continuum mechanics and the improved random aggregate producing approach,a meso-mechanics model of concrete is presented based on the nonlinear damage constitutive relationship for describing the behavior of multi-phase components of concrete,i.e.aggregate,mortar and interface;Implicit and explicit methods are compared in solving the meso-mechanics concrete with a conclusion that the explicit scheme is far more efficient in terms of CPU and storage when the degrees of freedom of the meso-system become large.By introducing the Weibull probabilistic distribution of heterogeneities for mechanical characteristics of concrete components,the numerical results show that influences of heterogeneity of the components on the concrete strength and deviation are significant.