In this paper, we present a novel finite element model to simulate alkali-silica reaction in a realistic concrete meso-structure. Application of the internal ASR loading leads to the evolution of multiple deviated cracks and corresponding macroscopic expansion. A particular crack-extension algorithm and a solution scheme provide numerical stability and allow to model complicated crack patterns while preserving the physics. The predictive validity of the model is demonstrated by matching an analytical solution of a loaded penny-shaped crack. The model is applied to the experimental dataset comprising the time-evolving X-ray tomograms of the ASR-affected concrete. Similar to the tomography data, the model results in an expanded concrete sample with a developed crack network. Two hypotheses on the crack loading and extension mechanisms are tested by comparing the crack statistics. Simulations with varying number of ASR sites and application of the uniaxial loading bring interesting insights. The latter concerns the role of the ASR-sites number, the individual loading amplitude and the difference in crack patterns.

在本文中，我们提出了一种新颖的有限元模型来模拟现实混凝土细观结构中的碱-二氧化硅反应。内部 ASR 载荷的应用导致多个偏斜裂纹的演变和相应的宏观扩展。特定的裂纹扩展算法和解决方案提供了数值稳定性，并允许在保留物理特性的同时对复杂的裂纹模式进行建模。该模型的预测有效性通过匹配加载的硬币形裂纹的解析解来证明。该模型应用于实验数据集，包括受 ASR 影响的混凝土的时间演化 X 射线断层图。与断层扫描数据类似，该模型产生了具有发达裂缝网络的膨胀混凝土样品。通过比较裂纹统计来检验关于裂纹加载和扩展机制的两个假设。不同数量的 ASR 站点的模拟和单轴加载的应用带来了有趣的见解。后者涉及 ASR 站点数的作用、单个加载幅度和裂纹模式的差异。