We present a numerical procedure for elastic and nonlinear analysis (including fracture situations) of solid materials and structures using the discrete element method. It can be applied to strongly cohesive frictional materials such as concrete and rocks. The method consists on defining nonlocal constitutive equations at the contact interfaces between discrete particles using the information provided by the stress tensor over the neighbor particles. The method can be used with different yield surfaces, and in the paper, it is applied to the analysis of fracture of concrete samples. Good comparison with experimental results is obtained.

中文翻译：

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固体非线性分析的精确非局部粘结离散元方法：在混凝土断裂试验中的应用

我们提出了一种使用离散元方法对固体材料和结构进行弹性和非线性分析（包括断裂情况）的数值程序。它可用于强粘性的摩擦材料，例如混凝土和岩石。该方法包括使用应力张量在相邻粒子上提供的信息，在离散粒子之间的接触界面处定义非局部本构方程。该方法可用于不同的屈服面，并且在本文中被用于混凝土样品的断裂分析。与实验结果进行了很好的比较。