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A contact detection algorithm for polyhedrons based on improved common-plane concept.

Mingqing Liu1,2

  • 1College of Architecture and Energy Engineering, Wenzhou University of Technology, Wenzhou, 325035, China. 846765019@qq.com.

Scientific Reports
|November 14, 2025
PubMed
Summary
This summary is machine-generated.

This study introduces an improved common-plane algorithm for accurate contact detection in complex scenarios. The enhanced method boosts computational efficiency and precision for particle packing simulations.

Keywords:
Common-plane conceptContact detectionDEMPolyhedrons

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Area of Science:

  • Computational mechanics
  • Material science

Background:

  • Traditional common-plane methods exhibit inaccuracies in contact point calculation and low efficiency for complex contact scenarios.
  • Accurate contact detection is crucial for reliable simulations in fields like granular material flow and discrete element modeling.

Purpose of the Study:

  • To develop an improved contact detection algorithm that enhances precision and computational efficiency over traditional common-plane methods.
  • To validate the algorithm's performance in complex contact scenarios, including edge-edge and edge-face contacts.
  • To assess the algorithm's reliability and applicability in Discrete Element Method (DEM) simulations of particle packing.

Main Methods:

  • An improved common-plane algorithm was developed, incorporating a distance function between block elements and the common plane.
  • Optimized contact point update strategies and a dual-condition-controlled iterative termination mechanism were implemented.
  • The algorithm was validated using CAD models and applied to DEM simulations of polyhedron random packing.

Main Results:

  • The improved algorithm achieved coordinate error of contact points less than 5%, normal angle deviation below 0.5°, and contact depth error within 1% for CAD models.
  • DEM simulations showed a computational efficiency increase of over 10% compared to the traditional method.
  • The maximum contact depth error was reduced by 47.4%, with high consistency between experimental and simulated particle packing.

Conclusions:

  • The proposed algorithm significantly enhances computational precision and efficiency for complex contact detection.
  • The validated algorithm demonstrates reliability and engineering applicability for particle packing simulations and other related applications.
  • This advancement contributes to more accurate and efficient modeling in granular mechanics and computational physics.