A dual-horizon peridynamics–discrete element method framework for efficient short-range contact mechanics

Bezem, K. and Haeri, S. and TerMaath, S. (2025) A dual-horizon peridynamics–discrete element method framework for efficient short-range contact mechanics. Modelling, 6 (4) (131).

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Official URL: https://doi.org/10.3390/modelling6040131

Abstract

Short-range forces enable peridynamics to simulate impact, yet it demands a computationally expensive contact search and includes no intrinsic damping. A significantly more efficient solution is the coupled dual-horizon peridynamics–discrete element method approach, which provides a robust framework for modeling fracture. The peridynamics component handles the nonlocal continuum mechanics capabilities to predict material damage and fracture, while the discrete element method captures discrete particle behavior. Whereas existing peridynamics–discrete element method approaches assign discrete element method particles to many or all surface peridynamics points, the proposed method integrates dual-horizon peridynamics with a single discrete element particle representing each object. Contact forces are computed once per discrete element pair and mapped to overlapping peridynamics points in proportion to shared volume, conserving linear momentum. Benchmark sphere-on-plate impact demonstrates prediction of peak contact force, rebound velocity, and plate deflection within 5% of theoretical results found in the literature, while decreasing neighbour-search cost by more than an order of magnitude. This validated force-transfer mechanism lays the groundwork for future extension to fully resolved fracture and fragmentation.

Item Type: Article
Additional Information: Open Access. This article belongs to the Special Issue Feature Papers of Computational Modelling and Simulation for Fatigue and Fracture of Engineering Materials and Structures.
Uncontrolled Keywords: peridynamics; discrete element method; dual-horizon; short-range forces; computational efficiency
Subjects: Maritime > General
Divisions: Maritime
Depositing User: Helen Stevenson
Date Deposited: 22 Oct 2025 10:16
Last Modified: 22 Oct 2025 10:16
URI: http://eprints.hrwallingford.com/id/eprint/1702

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