Peridynamic theory of solids from the perspective of classical statistical mechanics

DOI10.1016/j.physa.2015.05.099zbMath1400.82139OpenAlexW399017045MaRDI QIDQ1618711

Rezwan Rahman, John T. Foster

Publication date: 13 November 2018

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2015.05.099

zbMATH Keywords

molecular dynamicsstatistical mechanicsperidynamics

Mathematics Subject Classification ID

Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Molecular, statistical, and kinetic theories in solid mechanics (74A25)

Related Items (3)

Numerical simulation of crack propagation and coalescence in rock materials by the peridynamic method based on strain energy density theory ⋮ Peridynamics review ⋮ Nonlocal and Mixed-Locality Multiscale Finite Element Methods

Cites Work

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• A two-dimensionalordinary, state-based peridynamic model for linearly elastic solids
• A new look at the atomic level virial stress: on continuum-molecular system equivalence
• Statistical Mechanics of Open Systems
• The Green–Kubo formula for heat conduction in open systems
• Peridynamics as an Upscaling of Molecular Dynamics
• Peridynamic State-Based Models and the Embedded-Atom Model

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