We present a three-dimensional (3D) numerical model to investigate complex fracture behavior using cohesive elements. An efficient packing algorithm is employed to create the mesoscale model of heterogeneous capsule-based self-healing concrete. Spherical aggregates are used and directly generated from specified size distributions with different volume fractions. Spherical capsules are also used and created based on a particular diameter, and wall thickness. Bilinear traction-separation laws of cohesive elements along the boundaries of the mortar matrix, aggregates, capsules, and their interfaces are pre-inserted to simulate crack initiation and propagation. These pre-inserted cohesive elements are also applied into the initial meshes of solid elements to account for fracture in the mortar matrix. Different realizations are carried out and statistically analyzed. The proposed model provides an effective tool for predicting the complex fracture response of capsule-based self-healing concrete at the meso-scale.

我们提出了一个三维 (3D) 数值模型来研究使用粘性元素的复杂断裂行为。一种有效的填充算法被用来创建基于异构胶囊的自愈合混凝土的中尺度模型。使用球形骨料并直接从具有不同体积分数的特定尺寸分布生成。还根据特定直径和壁厚使用和创建球形胶囊。沿着砂浆基质、骨料、胶囊及其界面的边界的粘性元素的双线性牵引-分离定律被预先插入，以模拟裂纹的萌生和扩展。这些预先插入的粘性元素也被应用到实体元素的初始网格中，以解决砂浆基质中的断裂问题。执行不同的实现并进行统计分析。所提出的模型为预测基于胶囊的自愈合混凝土在细观尺度上的复杂断裂响应提供了一种有效的工具。