A discussion on nonlocality: From fractional derivative model to peridynamic model-Reference-Cited by-同舟云学术

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A discussion on nonlocality: From fractional derivative model to peridynamic model

Published:2022-11 Issue: Volume:114 Page:106604
ISSN:1007-5704
Container-title:Communications in Nonlinear Science and Numerical Simulation
language:en
Short-container-title:Communications in Nonlinear Science and Numerical Simulation

Author:

Sun HongGuang,Wang Yuanyuan,Yu Lin,Yu Xiangnan

Funder

National Natural Science Foundation of China

Natural Science Foundation of Jiangsu Province

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation,Numerical Analysis

Reference45 articles.

1. Analysis and approximation of nonlocal diffusion problems with volume constraints;Du;SIAM Rev,2012

2. Numerical simulation of forerunning fracture in saturated porous solids with hybrid fem/peridynamic model;Ni;Comput Geotech,2021

3. Dynamic crack propagation in plates weakened by inclined cracks: an investigation based on peridynamics;Shafiei;Front Struct Civ Eng,2018

4. Nonlocal operator method for the Cahn-Hilliard phase field model;Ren;Commun Nonlinear Sci Numer Simul,2020

5. On differences and comparisons of peridynamic differential operators and nonlocal differential operators;Kan;Comput Mech,2021

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4. Quantifying nonlocal bedload transport: A regional-based nonlocal model for bedload transport from local to global scales;Advances in Water Resources;2023-07

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