Introduction of dual-horizon peridynamics and nonlocal operator method

This paper provides a concise introduction to the nonlocal theories of Dual-Horizon Peridynamics (DH-PD) and the Nonlocal Operator Method (NOM), including their primary concepts and fundamental governing equations.In addition, a dual-horizon bond-based peridynamics equipped with variational damage is derived.A numerical example is presented to explore their advantages in crack simulation.

Authors

Huilong Ren (ORCID: https://orcid.org/0000-0002-9997-8193)
Timon Rabczuk (ORCID: https://orcid.org/0000-0002-7150-296X)
Xiaoying Zhuang (ORCID: https://orcid.org/0000-0001-6562-2618)

Publication Details

Published: 2025-04-14
DOI: https://doi.org/10.21012/fc12.1100
Primary Topic: Numerical methods in engineering
Type: article
Field-Weighted Citation Impact: 0.00

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article

Introduction of dual-horizon peridynamics and nonlocal operator method

Huilong Ren, Timon Rabczuk, Xiaoying Zhuang

Apr 14, 2025

Numerical methods in engineering

article

Introduction of dual-horizon peridynamics and nonlocal operator method

Huilong Ren, Timon Rabczuk, Xiaoying Zhuang

April 14, 2025article en

Abstract

This paper provides a concise introduction to the nonlocal theories of Dual-Horizon Peridynamics (DH-PD) and the Nonlocal Operator Method (NOM), including their primary concepts and fundamental governing equations.In addition, a dual-horizon bond-based peridynamics equipped with variational damage is derived.A numerical example is presented to explore their advantages in crack simulation.

Openalex Percentile: Top 92%

Numerical methods in engineering

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Introduction of dual-horizon peridynamics and nonlocal operator method — Huilong Ren, Timon Rabczuk, et al. · (2025) | TGRS Research Map | TGRS