Polymer gels are promising surrogates for human tissues, whereas simulating the behavior of these materials in 3D scenarios, particularly when they are subjected to dynamic loads, can be a complex and computationally demanding task. This work presents a solution to this challenge through developing a three-dimensional meshfree framework based on bond-based peridynamics. The novelties of this method are threefold: (1) The peridynamic bond force–stretch​ relationship of the Mooney–Rivlin hyperelastic model is original formulated and implemented based on thermomechanical theories and energy equivalence principles; (2) A novel contact algorithm is proposed to reduce the complexity of realistic loading and boundary conditions in blunt ballistic impact simulations; (3) This computational framework enables 3D dynamic simulations of hyperelastic polymer gels with complex geometric configurations. Tensile and compressive tests with varying loading rates are studied to validate the capability and accuracy of the proposed method. The proposed computational framework outperforms its finite element counterparts in modeling blunt impacts on polymer gels. It can be readily extended to penetration impact problems since accounting for failures is straightforward in this peridynamics framework.

聚合物凝胶是很有前途的人体组织替代品，而模拟这些材料在 3D 场景中的行为，尤其是当它们受到动态载荷时，可能是一项复杂且计算量大的任务。这项工作通过开发基于键近场动力学的三维无网格框架提出了应对这一挑战的解决方案。该方法的新颖之处在于三方面：（1）Mooney-Rivlin 超弹性模型的近场动力学键力-拉伸关系是基于热机械理论和能量等效原理原创制定和实现的；(2) 提出了一种新的接触算法，以降低钝性弹道冲击模拟中真实载荷和边界条件的复杂性；(3) 该计算框架支持对具有复杂几何配置的超弹性聚合物凝胶进行 3D 动态模拟。研究了具有不同加载速率的拉伸和压缩试验，以验证所提出方法的能力和准确性。所提出的计算框架在对聚合物凝胶的钝性影响建模方面优于其有限元对应物。它可以很容易地扩展到渗透影响问题，因为在这个近场动力学框架中考虑失败是很简单的。