Noether’s theorem in peridynamics

DOI10.1177/1081286518812931OpenAlexW2901633558MaRDI QIDQ5132412

Zaixing Huang

Publication date: 12 November 2020

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

Full work available at URL: https://doi.org/10.1177/1081286518812931

zbMATH Keywords

conservation lawEuler-Lagrange equationNoether's theoremperidynamics

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX)

Cites Work

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• Analysis of the volume-constrained peridynamic Navier equation of linear elasticity
• Physically-based approach to the mechanics of Strong non-local linear elasticity theory
• Conservation laws in nonlocal elasticity
• Conservation laws in linear elasto-dynamics
• Reformulation of elasticity theory for discontinuities and long-range forces
• Peridynamic states and constitutive modeling
• Invariance theory for nonlocal variational principles. II': Weak invariance and global conservation laws. III: Strong and absolute invariance
• On a class of conservation laws in linearized and finite elastostatics
• On nonlocal elasticity
• Peridynamic Theory and Its Applications
• Handbook of Peridynamic Modeling
• On the variational limit of a class of nonlocal functionals related to peridynamics

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