The motion and deformation laws of multi object interactions in computational models depend on contact algorithms. However, research on the peridynamic contact problem is limited. In this paper, in order to effectively prevent non-physical intrusion during contact, the inherent problems of the contact algorithm in peridynamic discrete models are analyzed, and a force boundary contact method using nonlinear contact stiffness is proposed. Through numerical calculations and geometric analysis of the peridynamic discrete model, the characteristics and reasons for the variation of contact force in the peridynamic contact model under fixed contact stiffness are discovered. To address the nonlinear reduction of contact force and potential non-physical intrusion in the peridynamic contact model, a force boundary peridynamic contact method is proposed by introducing a nonlinear changing contact stiffness function. Then the characteristics of contact force variation in different kinds of contact functions are studied and the parameter setting of contact functions is discussed. The results show that this method can effectively prevent non-physical intrusion and the calculation error is acceptable. This paper lays a foundation for further research on contact constitutive model based on Peridynamic framework.

中文翻译：

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使用改进的非局部接触模型进行近场动力学中的短程接触力分析


计算模型中多对象交互的运动和变形定律取决于接触算法。然而，关于近场动力学接触问题的研究是有限的。为了有效防止接触过程中的非物理侵入，分析了近动力离散模型中接触算法的固有问题，提出了一种基于非线性接触刚度的力边界接触方法。通过对近场动力学离散模型的数值计算和几何分析，发现了固定接触刚度下近场动力学接触模型中接触力变化的特点和原因。为了解决近场动力学接触模型中接触力的非线性减少和潜在的非物理侵入问题，通过引入非线性变化接触刚度函数，提出了一种力边界近场接触方法。然后，研究了不同种类接触函数中接触力变化的特点，并讨论了接触函数的参数设置。结果表明，该方法能够有效防止非物理侵入，计算误差可接受。本文为进一步研究基于 Peridynamic 框架的接触本构模型奠定了基础。