A non-local, ordinary state-based, peridynamic elastoplastic model is formulated to numerically simulate the fracture of reinforced concrete materials. Several basic definitions are first discussed to avoid confusion; and then, a detailed derivation of the force vector state is presented, leading to a unified expression of force state for one-, two- and three-dimensional elasticity problems. Furthermore, an ordinary state-based peridynamic (OSB PD) elastoplastic analysis approach is developed for both plastic compressible and incompressible materials, including the constitutive relationship, the yield function, the consistency condition and the plasticity flow rule. The peridynamic predictions of a quasi-static deformation of the steel rods are in good agreement with the analytical solution. Moreover, the OSB PD plasticity is verified by analyzing a square plate with or without a central hole suffering different loading-unloading paths. Finally, a two dimensional reinforced concrete clamped beam subjected to impact loading is simulated with the proposed OSB PD elastoplasticity, demonstrating its capability in capturing the damage characteristics and structural failure behavior. Simulation results show good accuracy of the peridynamics in simulating elastoplastic problems.

建立了基于局部非常规状态的蠕变弹塑性模型，以数值模拟钢筋混凝土材料的断裂。为了避免混淆，首先讨论了几个基本定义。然后，给出了力矢量状态的详细推导，从而得出了针对一维，二维和三维弹性问题的力状态的统一表示。此外，针对塑性可压缩材料和不可压缩材料，还开发了一种基于状态的常态弹塑性（OSB PD）弹塑性分析方法，包括本构关系，屈服函数，一致性条件和可塑性流动规律。钢棒准静态变形的周向动力学预测与解析解非常吻合。此外，OSB PD的可塑性通过分析带有或不带有中心孔的方形板来验证，该中心孔承受不同的装卸路径。最后，利用提出的OSB PD弹塑性模拟了二维钢筋混凝土受压梁的弹塑性，证明了其具有捕获损伤特征和结构破坏行为的能力。仿真结果表明，在模拟弹塑性问题方面，动力学具有良好的准确性。