An improved point-to-surface contact algorithm with penalty method for peridynamics
<|reference_start|>An improved point-to-surface contact algorithm with penalty method for peridynamics: It is significantly challenging to obtain accurate contact forces in peridynamics (PD) simulations due to the difficulty of surface particles identification, particularly for complex geometries. Here, an improved point-to-surface contact model is proposed for PD with high accuracy. First, the outer surface is identified using the eigenvalue method and then we construct a Verlet list to identify potential contact particle pairs efficiently. Subsequently, a point-to-surface contact search algorithm is utilized to determine precise contact locations with the penalty function method calculating the contact force. Finally, the accuracy of this point-to-surface contact model is validated through several representative contact examples. The results demonstrate that the point-to-surface contact model model can predict contact forces and deformations with high accuracy, aligning well with the classical Hertz contact theory solutions. This work presents a contact model for PD that automatically recognizes external surface particles and accurately calculates the contact force, which provides guidance for the study of multi-body contact as well as complex contact situations.<|reference_end|>
@article{zhang2024an,
    title={An improved point-to-surface contact algorithm with penalty method for
  peridynamics},
    author={Haoran Zhang, Lisheng Liu, Xin Lai, Jun Li},
    journal={arXiv preprint arXiv:2408.06556},
    year={2024},
    archivePrefix={arXiv},
    eprint={2408.06556},
    primaryClass={cs.CE}
}