# Dual-horizon peridynamics: A stable solution to varying horizons

## TL;DR

This paper introduces a dual-horizon peridynamics method that enhances simulation stability and accuracy by reducing spurious wave reflections and handling multiple materials effectively.

## Contribution

The paper develops a dual-horizon peridynamics formulation with proven dual properties, improving stability and reducing sensitivity to spatial discretization compared to traditional PD.

## Key findings

- Minimizes spurious wave reflections in simulations
- Ensures natural satisfaction of momentum balance
- Less sensitive to spatial discretization

## Abstract

In this paper, we present a dual-horizon peridynamics formulation which allows for simulations with dual-horizon with minimal spurious wave reflection. We prove the general dual property for dual-horizon peridynamics, based on which the balance of momentum and angular momentum in PD are naturally satisfied. We also analyze the crack pattern of random point distribution and the multiple materials issue in peridynamics. For selected benchmark problems, we show that DH-PD is less sensitive to the spatial than the original PD formulation.