This paper presents a model-free data-driven framework for breakage mechanics. In contrast with continuum breakage mechanics, the de facto approach for the macroscopic analysis of crushable granular media, the present framework does not require the definition of constitutive models and phenomenological assumptions, relying on material behavior that is known only through empirical data. For this purpose, we revisit the recent developments in model-free data-driven computing for history-dependent materials and extend the main ideas to materials with particle breakage. A systematic construction of the modeling framework is presented, starting from the closed-form representation of continuum breakage mechanics and arriving at alternative model-free representations. The predictive ability of the data-driven framework is highlighted and contrasted with continuum breakage mechanics on different boundary value problems. Moreover, an application to a real experimental test in crushable sand is presented, where the data is furnished by high-fidelity grain-scale simulations, indicating that the proposed framework provides an accurate prediction of the mechanics of crushable materials including the state of comminution.

本文提出了一种用于断裂力学的无模型数据驱动框架。与连续破碎力学（可破碎颗粒介质宏观分析的事实上的方法）相比，本框架不需要定义本构模型和现象学假设，而是依赖于材料行为这只能通过经验数据得知。为此，我们重新审视历史相关材料的无模型数据驱动计算的最新发展，并将主要思想扩展到具有颗粒破碎的材料。提出了建模框架的系统构建，从连续断裂力学的封闭形式表示开始，到达替代的无模型表示。数据驱动框架的预测能力得到了强调，并与不同边值问题上的连续破坏力学进行了对比。此外，还介绍了可破碎砂的实际实验测试的应用，其中数据由高保真度颗粒级模拟提供，