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arXiv · 2408.06556

An improved point-to-surface contact algorithm with penalty method for peridynamics

Haoran Zhang·Lisheng Liu·Xin Lai·Jun Li
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Abstract

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.

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Haoran Zhang, Lisheng Liu, Xin Lai, Jun Li. 2024-08-13. An improved point-to-surface contact algorithm with penalty method for peridynamics. https://arxiv.org/abs/2408.06556

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