A novel numerical scheme for random parameterized convex aggregate models with a high-volume fraction of aggregates in concrete-like granular materials

Meso-scale modelling of compressive fracture in concrete with irregularly shaped aggregates

“…The models A and D as the simplified versions of the aggregate model have been traditionally and repeatedly used in the literature, e.g. [49][50][51][52][53][54][55]. The analyse of such models in the framework proposed provides insight on their efficiency against G. Also, in a physical sense, these two models are likely comparable to natural gravels and crushed rocks due to the geometric similarities.…”

Meso-concrete modeling based on laser scanning technology

“…Yilmaz等 [11] 将骨料形状假定为球体构建三维混凝土多相细 观模型, 基于CZM理论对比分析了二维、三维模型在不同加载速率下裂纹的扩展演化和应力-应变曲线变化规律. 为了更好地反映骨料形状的随机性和凹凸性, 王宗敏等 [12] 、 Ma等 [13,14] 、 Qin等 [15] 将骨料的形状进一步简化为随机生 成的凸多边形或凸多面体, 基于随机骨料投放算法构建二维、三维细观混凝土多相数值分析模型 . 上述将骨料形 状简化为圆形、椭圆形或者多边形等简单几何形状的参数化建模方法, 虽然在模型构建和数值计算效率方面具有 显著的优势, 但混凝土中的真实骨料形态各异, 上述骨料简化方法显然与真实骨料形状仍然存在较大差距.…”

Implementation of Numerical Mesostructure Concrete Material Models: A Dot Matrix Method

“…In contrary, X-ray CT is not only expensive in routine use but also has stringent safety and radiation monitoring requirements in practice. Even though the procedures to retrieve particle shape for a given class of aggregates from either CT scanned digital images or 3D laser scanned digital ones have been established [3,7,8,9], it is always appreciated to numerically characterize the shape of particles in terms of good mathematical tools such as spherical harmonic series and Voronoi tessellations [10,11,12,13,14].…”

“…In the second one, the generation-and-placement of aggregate particles by the mathematical methods is performed to construct concrete material models, which are perhaps most commonly investigated recently in [3,10,11,13,14,15,16,17]. For example, in the pioneered work, Wittmann et al [16].…”