A micropolar peridynamic model with non-uniform horizon for static damage of solids considering different nonlocal enhancements

authored by: Yiming Zhang, Xueqing Yang, Xueya Wang, Xiaoying Zhuang
Abstract: Peridynamic models typically adopt regular point distributions and uniform horizons, limiting their flexibility and engineering applicability. In this work, a micropolar peridynamics approach with a non-uniform horizon (NHPD) is proposed. This approach is implemented in a conventional finite element framework using element-based discretization. Through modification of the dual-horizon approach in the preprocessing step, a point-dependent horizon and non-uniform beam-like bonds are built. By a domain correction strategy, the equivalence of the strain energy density is assured. Then, a novel energy–density-based failure criterion that directly relates the critical stretch to the mechanical strength is presented. The numerical results indicate the weak mesh dependency of NHPD and the effectiveness of the new failure criterion for Brazilian disk tests. Moreover, damage to solids with different nonlocal effects is shown to yield similar results through adjustment of only the mechanical strength.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): Hebei University of Technology
Tongji University
Type: Article
Journal: Theoretical and Applied Fracture Mechanics
Volume: 113
ISSN: 0167-8442
Publication date: 06.2021
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: General Materials Science, Condensed Matter Physics, Mechanical Engineering, Applied Mathematics
Electronic version(s): https://doi.org/10.1016/j.tafmec.2021.102930 (Access: Closed)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{658390c152824eb28a872e4f372a47fb,
title = "A micropolar peridynamic model with non-uniform horizon for static damage of solids considering different nonlocal enhancements",
abstract = "Peridynamic models typically adopt regular point distributions and uniform horizons, limiting their flexibility and engineering applicability. In this work, a micropolar peridynamics approach with a non-uniform horizon (NHPD) is proposed. This approach is implemented in a conventional finite element framework using element-based discretization. Through modification of the dual-horizon approach in the preprocessing step, a point-dependent horizon and non-uniform beam-like bonds are built. By a domain correction strategy, the equivalence of the strain energy density is assured. Then, a novel energy–density-based failure criterion that directly relates the critical stretch to the mechanical strength is presented. The numerical results indicate the weak mesh dependency of NHPD and the effectiveness of the new failure criterion for Brazilian disk tests. Moreover, damage to solids with different nonlocal effects is shown to yield similar results through adjustment of only the mechanical strength.",
keywords = "Bond-based peridynamic, Finite element framework, Non-uniform horizon, Nonlocal enhancement, Novel failure criterion",
author = "Yiming Zhang and Xueqing Yang and Xueya Wang and Xiaoying Zhuang",
note = "Funding Information: The authors gratefully acknowledge the financial support from the National Natural Science Foundation of China (NSFC) (51809069), the Hebei Province Natural Science Fund E2019202441 and the 2019 Foreign Experts Plan of Hebei Province.",
year = "2021",
month = jun,
doi = "10.1016/j.tafmec.2021.102930",
language = "English",
volume = "113",
journal = "Theoretical and Applied Fracture Mechanics",
issn = "0167-8442",
publisher = "Elsevier",
}