Dual-horizon peridynamics: A stable solution to varying horizons

  • Huilong Ren
  • , Xiaoying Zhuang*
  • , Timon Rabczuk
  • *Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    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 languageEnglish
    Pages (from-to)762-782
    Number of pages21
    JournalComputer Methods in Applied Mechanics and Engineering
    Volume318
    DOIs
    Publication statusPublished - 2017 May 1

    Bibliographical note

    Publisher Copyright:
    © 2016 Elsevier B.V.

    Keywords

    • Crack stability
    • Horizon variable
    • Material interfaces
    • Multiple materials
    • Random point distribution

    ASJC Scopus subject areas

    • Computational Mechanics
    • Mechanics of Materials
    • Mechanical Engineering
    • General Physics and Astronomy
    • Computer Science Applications

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