New Insights on Convergence Properties of Peridynamic Models for Transient Diffusion and Elastodynamics  

作　　者：Zhikun Zhou Xuhao Peng Pan Wu Ziguang Chen Florin Bobaru 

机构地区：[1]Department of EngineeringMechanics,School ofAerospace Engineering,Huazhong University of Science and Technology,Wuhan,430074,China [2]Hubei Key Laboratory of Engineering Structural Analysis and Safety Assessment,1037 Luoyu Road,Wuhan,430074,China [3]Department of Mechanical and Materials Engineering,University of Nebraska-Lincoln,Lincoln,NE,68588-0526,USA

出　　处：《Communications in Computational Physics》2022年第10期1257-1286,共30页计算物理通讯（英文）

基　　金：supported by the Fundamental Research Funds for the Central Universities(HUST:YCJJ202203014 and No.2021GCRC021);the Natural Science Foundation of China(No.11802098).

摘　　要：Recent analytical solutions for peridynamic(PD)models of transient diffusion and elastodynamics allow us to revisit convergence of 1D PD models to their classical counterparts.We find and explain the reasons for some interesting differences between the convergence behavior for transient diffusion and elastodynamics models.Except for very early times,PD models for transient diffusion converge monotonically to the classical one.In contrast,for elastodynamic problems this convergence is more complex,with some periodic/almost-periodic characteristics present.These special features are investigated for sine waves used as initial conditions.The analysis indicates that the convergence behavior of PD solutions to the classical one can be understood in terms of convergence properties for models using the Fourier series expansion terms of a particular initial condition.The results obtained show new connections between PD models and their corresponding classical versions.

关 键 词：CONVERGENCE PERIDYNAMICS nonlocal models analytical solutions transient diffusion ELASTODYNAMICS 

分 类 号：O17[理学—数学]