Numerical Modeling on Crack Propagation Based on a Multi-Grid Bond-Based Dual-Horizon Peridynamics

Peridynamics (PD) is a novel nonlocal theory of continuum mechanics capable of describing crack formation and propagation without defining any fracture rules in advance. In this study, a multi-grid bond-based dual-horizon peridynamics (DH-PD) model is presented, which includes varying horizon sizes...

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Autores principales:	Zili Dai, Jinwei Xie, Zhitang Lu, Shiwei Qin, Lin Wang
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	peridynamics dual-horizon crack propagation variable horizon multi-grid Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/dc31db93bb854ff880dcb5f78dd1ca07
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id	oai:doaj.org-article:dc31db93bb854ff880dcb5f78dd1ca07
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spelling	oai:doaj.org-article:dc31db93bb854ff880dcb5f78dd1ca072021-11-25T18:16:33ZNumerical Modeling on Crack Propagation Based on a Multi-Grid Bond-Based Dual-Horizon Peridynamics10.3390/math92228482227-7390https://doaj.org/article/dc31db93bb854ff880dcb5f78dd1ca072021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/22/2848https://doaj.org/toc/2227-7390Peridynamics (PD) is a novel nonlocal theory of continuum mechanics capable of describing crack formation and propagation without defining any fracture rules in advance. In this study, a multi-grid bond-based dual-horizon peridynamics (DH-PD) model is presented, which includes varying horizon sizes and can avoid spurious wave reflections. This model incorporates the volume correction, surface correction, and a technique of nonuniformity discretization to improve calculation accuracy and efficiency. Two benchmark problems are simulated to verify the reliability of the proposed model with the effect of the volume correction and surface correction on the computational accuracy confirmed. Two numerical examples, the fracture of an L-shaped concrete specimen and the mixed damage of a double-edged notched specimen, are simulated and analyzed. The simulation results are compared against experimental data, the numerical solution of a traditional PD model, and the output from a finite element model. The comparisons verify the calculation accuracy of the corrected DH-PD model and its advantages over some other models like the traditional PD model.Zili DaiJinwei XieZhitang LuShiwei QinLin WangMDPI AGarticleperidynamicsdual-horizoncrack propagationvariable horizonmulti-gridMathematicsQA1-939ENMathematics, Vol 9, Iss 2848, p 2848 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	peridynamics dual-horizon crack propagation variable horizon multi-grid Mathematics QA1-939
spellingShingle	peridynamics dual-horizon crack propagation variable horizon multi-grid Mathematics QA1-939 Zili Dai Jinwei Xie Zhitang Lu Shiwei Qin Lin Wang Numerical Modeling on Crack Propagation Based on a Multi-Grid Bond-Based Dual-Horizon Peridynamics
description	Peridynamics (PD) is a novel nonlocal theory of continuum mechanics capable of describing crack formation and propagation without defining any fracture rules in advance. In this study, a multi-grid bond-based dual-horizon peridynamics (DH-PD) model is presented, which includes varying horizon sizes and can avoid spurious wave reflections. This model incorporates the volume correction, surface correction, and a technique of nonuniformity discretization to improve calculation accuracy and efficiency. Two benchmark problems are simulated to verify the reliability of the proposed model with the effect of the volume correction and surface correction on the computational accuracy confirmed. Two numerical examples, the fracture of an L-shaped concrete specimen and the mixed damage of a double-edged notched specimen, are simulated and analyzed. The simulation results are compared against experimental data, the numerical solution of a traditional PD model, and the output from a finite element model. The comparisons verify the calculation accuracy of the corrected DH-PD model and its advantages over some other models like the traditional PD model.
format	article
author	Zili Dai Jinwei Xie Zhitang Lu Shiwei Qin Lin Wang
author_facet	Zili Dai Jinwei Xie Zhitang Lu Shiwei Qin Lin Wang
author_sort	Zili Dai
title	Numerical Modeling on Crack Propagation Based on a Multi-Grid Bond-Based Dual-Horizon Peridynamics
title_short	Numerical Modeling on Crack Propagation Based on a Multi-Grid Bond-Based Dual-Horizon Peridynamics
title_full	Numerical Modeling on Crack Propagation Based on a Multi-Grid Bond-Based Dual-Horizon Peridynamics
title_fullStr	Numerical Modeling on Crack Propagation Based on a Multi-Grid Bond-Based Dual-Horizon Peridynamics
title_full_unstemmed	Numerical Modeling on Crack Propagation Based on a Multi-Grid Bond-Based Dual-Horizon Peridynamics
title_sort	numerical modeling on crack propagation based on a multi-grid bond-based dual-horizon peridynamics
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/dc31db93bb854ff880dcb5f78dd1ca07
work_keys_str_mv	AT zilidai numericalmodelingoncrackpropagationbasedonamultigridbondbaseddualhorizonperidynamics AT jinweixie numericalmodelingoncrackpropagationbasedonamultigridbondbaseddualhorizonperidynamics AT zhitanglu numericalmodelingoncrackpropagationbasedonamultigridbondbaseddualhorizonperidynamics AT shiweiqin numericalmodelingoncrackpropagationbasedonamultigridbondbaseddualhorizonperidynamics AT linwang numericalmodelingoncrackpropagationbasedonamultigridbondbaseddualhorizonperidynamics
_version_	1718411410040422400

Numerical Modeling on Crack Propagation Based on a Multi-Grid Bond-Based Dual-Horizon Peridynamics

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