基于近场动力学非普通状态理论的高聚物粘结炸药损伤破坏模拟研究

Non-ordinary State-based Peridynamic Simulation of Damage and Failure Process of Polymer Bonded Explosives

研究了近场动力学非普通状态理论中运动方程求解的动态松弛方法,并引入沙漏力控制求解过程中的零能模式。在考虑损伤对近场动力学力状态影响的基础上,提出通过影响函数引入损伤的方法,从而考虑损伤对近似变形梯度和变形张量的影响,解决了发生损伤处的应力释放问题。该方法应用于高聚物粘结炸药巴西圆盘实验的损伤破坏行为模拟,结果表明改进后的方法获得的结果与实际更为符合。

The dynamic relaxation method for obtaining the steady-state solutions of equilibrium equations in non-ordinary state-based peridynamic theory is studied. The hourglass force is incorporated to suppress the zero-energy modes. In the foundation of considering the influence of damage on force state, an influ- ence function damage defining method is proposed, in which the effects of damage on approximate de- formation gradient and shape tensor are calculated. Therefore, the problem of stress release in damaged region is overcome. The non-ordinary state-based peridynamic theory is applied to the simulation of dam- age and failure behaviors of polymer bonded explosives in Brazilian disc experiment. It shows that the simulated results of the modified method are in better accordance with the experimental results.