含单边缺口混凝土梁冲击破坏的近场动力学模拟

IMPACT FAILURE SIMULATION OF A SINGLE-EDGED NOTCHED CONCRETE BEAM BASED ON PERIDYNAMICS

  • 摘要: 改进了近场动力学(peridynamics,PD)微观弹脆性(prototype microelastic brittle,PMB)模型中微观模量的计算方法,解决了PMB模型的“边界效应”问题。利用改进的PMB模型计算了冲击荷载作用下单边缺口混凝土梁的破坏全过程,得到了混合型裂纹扩展的角度、路径以及裂尖最大速度,并与试验和其他数值方法模拟结果进行了对比分析,验证了改进的PMB模型的有效性。研究结果表明,近场动力学方法在模拟破坏问题时不存在网格依赖性,其本构模型自然包含了损伤与断裂的描述,是求解结构冲击破坏问题的一种有效方法。

     

    Abstract: An improved method for deriving micromodulus in the prototype microelastic brittle (PMB) material of peridynamics (PD) is proposed to remove the "skin effect" of the original PMB model, and then the failure process of a single-edged notched concrete beam subjected to impact loading is simulated by the improved PMB model. The crack propagation angle, trajectory and the maximum crack growth speed in the mixed-mode fracture can be achieved from PD simulation. The results predicted by PD are compared with those of experiments and other numerical methods to verify the accurateness of the improved model. As an effective method in solving impact problems of structures, PD does not have the element size sensitivity when used to simulate the failure process and contains the description of fracture and damage in its constitutive models.

     

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