This study considers finite elastic deformation and rupture in rubber-like materials under quasi-static loading conditions by employing the bond-associated weak form of peridynamics with nonuniform horizon. The weak form of peridynamic equilibrium equation is derived based on the Neo-Hookean material model with slight compressibility. The nonlocal deformation gradient tensor is computed in a bond-associated domain of interaction using the PD differential operator. This approach is free of oscillations and spurious zero energy modes that are commonly observed in the PD correspondence models. Also, it permits the direct imposition of natural and essential boundary conditions. Its fidelity for predicting large deformation is established by comparison with those of finite element analysis of a rubber sheet with a hole under stretch. Also, its validity for predicting damage is demonstrated through simulations of experiments concerning progressive damage growth and final rupture in polymers undergoing large elastic deformation.

这项研究考虑了准静态载荷条件下橡胶状材料的有限弹性变形和破裂，这是通过采用水平相关性不均匀的绕动力学的键相关弱形式实现的。基于新Hookean材料模型，以可压缩性为基础，推导出了绕动平衡方程的弱形式。使用PD微分算子在相互作用的键关联域中计算非局部变形梯度张量。该方法没有在PD对应模型中通常观察到的振荡和杂散零能量模式。而且，它允许直接施加自然和基本边界条件。通过与带有拉伸孔的橡胶板的有限元分析相比较，可以确定其预测大变形的保真度。也，