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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。
The calculation method of micro-modulus in peridynamics (PD) micro-elastic micro-brittle (PMB) model was improved to solve the “boundary effect” problem of PMB model. Using the improved PMB model, the whole failure process of single-notched concrete beams subjected to impact load was calculated. The angle and path of mixed crack propagation and the maximum velocity of crack tip were obtained and compared with the experimental and other numerical simulation results , Verify the effectiveness of the improved PMB model. The results show that the near-field dynamics method does not exist grid-dependent when simulating the failure problem, and its constitutive model naturally contains the description of damage and fracture, which is an effective method to solve the structural damage and failure problem.