基于近场动力学方法的混凝土板侵彻问题研究

由于近场动力学(Peridynamics)用统一空间积分-时间微分方程描述物体连续或不连续区域，改进常用微观弹脆性模型对势本构力函数，给出刚性体与变形体冲击问题接触算法；编制计算程序，验证经典简支梁变形及Kalthoff-Winkler试验；数值模拟刚性弹丸侵彻混凝土矩形板破坏过程，揭示损伤累积及裂纹扩展全过程与最终破坏形态。结果表明，改进的近场动力学模型及算法合理、可靠，能有效模拟混凝土结构冲击破坏及侵彻问题。

A study on penetration problem of concrete slabs with peridynamics

Peridynamics uses uniform spatial-integral and time-differential equations to describe materials and structures in both continuous and discontinuous Areas. It is a nonlocal extension of continuum mechanics and a new meshfree numerical method. The pairwise constitutive function widely used in PMB model was modified, and an impact contact algorithm between the rigid projectile and deformable body was proposed. Peridynamic method was validated through the deformation of simply supported beam and the well-known Kalthoff-Winkler experiment. Furthermore, concrete slabs subjected to rigid projectile impact were simulated. The simulation results reveal explicitly the final failure patterns of concrete slabs and the whole process of concrete failure range from the damage accumulation to the final failure. Numerical simulations illustrate that the modified peridynamic model is reasonable and reliable, and peridynamics is an effective method in simulating the impact problems of concrete structures.