The peridynamic theory is advantageous for problems involving damage since the peridynamic equation of motion is valid everywhere, regardless of existing discontinuities, and an external criterion is not necessary for predicting damage initiation and propagation. However, the current peridynamic modeling methods utilize regular or quasi-regular lattice structures, which poses difficulties in modeling laminated structures with alternating thin interlayers and thick ply layers. This study proposes an extended version of a nonlocal ghost interlayer model for simulating laminated structures with multi-body interactions. Using numerical studies, the proposed numerical schemes are verified. It is further confirmed that the proposed schemes are valid for simulating the high-velocity impact fracturing behavior of laminated glass.

圆周动力学理论对于涉及损伤的问题是有利的，因为运动的圆周动力学方程在任何地方都是有效的，而与现有的不连续性无关，并且不需要外部标准来预测损伤的发生和传播。然而，当前的绕动力学建模方法利用规则的或准规则的网格结构，这在对具有交替的薄中间层和厚层片层的层压结构进行建模时带来了困难。这项研究提出了一种非局部幻影夹层模型的扩展版本，用于模拟具有多体相互作用的叠层结构。使用数值研究，对提出的数值方案进行了验证。进一步证实，所提出的方案对于模拟夹层玻璃的高速冲击断裂行为是有效的。