Simulating the quasi-static mechanical behavior of concrete at the micro- or meso-scale, considering its heterogeneous nature, quickly becomes impractical in terms of computational cost. This manuscript explores efficient computational strategies in numerical modeling by means of the Lattice Discrete Particle Model (LDPM), a state-of-the-art approach for simulating concrete at the coarse aggregate level, emphasizing three interaction approaches. Whereas the original formulation of LDPM employs a 12-facet formulation, this research proposes a simplified interaction approach for LDPM, based on either 6-facet or edge-based interactions, designed to significantly reduce computational costs while maintaining precise predictions of the concrete fracture behavior. This approach is systematically applied to a variety of standard concrete tests, including unconfined compression, biaxial compression, triaxial compression, torsional-compressive, three-point bending, and cyclic compression loading in order to assess the predictive capabilities of the model. The efficiency and accuracy of the reduced number of interaction surfaces are critically discussed in both tensile and compressive loading conditions. The results indicate that approaches based on edge-based and 6-facet interactions substantially reduce computational costs and memory usage while providing similar results to the 12-facet model, except for unconfined compression simulations based on edge-based interaction. This research opens a promising avenue for advancing the utilization of LDPM in concrete mechanics simulations.

中文翻译：

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使用晶格离散粒子模型对混凝土的力学行为进行建模和仿真的有效方法


考虑到混凝土的异质性，在微观或中观尺度上模拟混凝土的准静态力学行为，在计算成本方面很快就会变得不切实际。本手稿探讨了通过晶格离散粒子模型 （LDPM） 进行数值建模中的高效计算策略，LDPM 是一种在粗骨料水平模拟混凝土的最先进的方法，强调三种交互方法。LDPM 的原始公式采用 12 个面的公式，而本研究提出了一种基于 6 个面或基于边缘的交互的 LDPM 简化交互方法，旨在显著降低计算成本，同时保持对混凝土断裂行为的精确预测。该方法系统地应用于各种标准混凝土试验，包括无侧限压缩、双轴压缩、三轴压缩、扭转-压缩、三点弯曲和循环压缩载荷，以评估模型的预测能力。在拉伸和压缩载荷条件下，减少相互作用面数量的效率和精度是关键讨论的焦点。结果表明，基于边缘和 6 个分面交互的方法大大降低了计算成本和内存使用，同时提供了与 12 个分面模型相似的结果，但基于基于边缘的交互的非受限压缩模拟除外。这项研究为推进 LDPM 在混凝土力学模拟中的应用开辟了一条有前途的途径。