Analytical solutions of peridynamic equations. II: Elastic wave propagation

DOI10.1016/j.ijengsci.2023.103866OpenAlexW4362518597MaRDI QIDQ6160006

Florin Bobaru, Siavash Jafarzadeh, Zi-Guang Chen, Xuhao Peng

Publication date: 23 June 2023

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2023.103866

zbMATH Keywords

elasticityanalytical solutionsseparation of variablesseries solutionsperidynamicsnonlocal factor

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Partial differential equations (35-XX)

Cites Work

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• A peridynamic formulation for transient heat conduction in bodies with evolving discontinuities
• Deformation of a peridynamic bar
• The effect of long-range forces on the dynamics of a bar
• Convergence of peridynamics to classical elasticity theory
• Improved one-point quadrature algorithms for two-dimensional peridynamic models based on analytical calculations
• Reformulation of elasticity theory for discontinuities and long-range forces
• A one-dimensional peridynamic model of defect propagation and its relation to certain other continuum models
• Solitary waves in a peridynamic elastic solid
• Negative group velocity in solids
• A constructive peridynamic kernel for elasticity
• Static and dynamic Green's functions in peridynamics
• Convergence, adaptive refinement, and scaling in 1D peridynamics
• Nonlocal operators are chaotic

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