Useful Conservation Sums in Molecular Dynamics and Atomistics

DOI10.1177/1081286509357338zbMath1257.74009OpenAlexW2140699728MaRDI QIDQ4905303

Unnamed Author, Kyung-Suk Kim, Saeja Oh Kim

Publication date: 15 February 2013

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286509357338

zbMATH Keywords

molecular dynamicsNoether's theoremconservation integralsnon-local elasticitycontinuum projection

Mathematics Subject Classification ID

Elastic materials (74B99) Molecular, statistical, and kinetic theories in solid mechanics (74A25)

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Dual Eshelby stress tensors and related integrals in micropolar elasticity with body forces and couples

Cites Work

• Energy balance invariance for interacting particle systems
• A theory of anharmonic lattice statics for analysis of defective crystals
• Conservation laws in nonlocal elasticity
• The elastic energy-momentum tensor
• Conservation integrals in couple stress elasticity
• The Eshelby stress tensor, angular momentum tensor and dilatation flux in gradient elasticity
• On a class of conservation laws in linearized and finite elastostatics
• Conservation Laws and Energy-Release Rates