Dual-horizon peridynamics: A stable solution to varying horizons

Huilong Ren; Xiaoying Zhuang; Timon Rabczuk

doi:10.1016/j.cma.2016.12.031

Dual-horizon peridynamics: A stable solution to varying horizons

Huilong Ren, Xiaoying Zhuang, Timon Rabczuk

College of Engineering

Research output: Contribution to journal › Article › peer-review

454 Citations (Scopus)

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.

Original language	English
Pages (from-to)	762-782
Number of pages	21
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	318
DOIs	https://doi.org/10.1016/j.cma.2016.12.031
Publication status	Published - 2017 May 1

Keywords

Crack stability
Horizon variable
Material interfaces
Multiple materials
Random point distribution

ASJC Scopus subject areas

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
Physics and Astronomy(all)
Computer Science Applications

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10.1016/j.cma.2016.12.031

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title = "Dual-horizon peridynamics: A stable solution to varying horizons",

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.",

keywords = "Crack stability, Horizon variable, Material interfaces, Multiple materials, Random point distribution",

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note = "Funding Information: The authors acknowledge the supports from the National Basic Research Program of China (973 Program: 2011CB013800) and NSFC (51474157), Shanghai Municipal Commission of Science and Technology (16QA1404000), the Ministry of Science and Technology of China (SLDRCE14-B-31) and the ERC-CoG (Computational Modeling and Design of Lithium-ion Batteries (COMBAT)). Publisher Copyright: {\textcopyright} 2016 Elsevier B.V.",

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AU - Rabczuk, Timon

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N2 - 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.

AB - 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.

KW - Crack stability

KW - Horizon variable

KW - Material interfaces

KW - Multiple materials

KW - Random point distribution

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Dual-horizon peridynamics: A stable solution to varying horizons

Abstract

Keywords

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