A generalized integro-differential theory of nonlocal elasticity of \(n\)-Helmholtz type. II: Boundary-value problems in the one-dimensional case

DOI10.1007/S11012-020-01298-9zbMath1518.74015OpenAlexW3129052791MaRDI QIDQ6172557

Giuseppe Ricciardi, Dario De Domenico, Harm Askes

Publication date: 19 July 2023

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11012-020-01298-9

zbMATH Keywords

Helmholtz equationsize effectwave dispersioninternal length scalediscrete latticeenriched continuum theory

Mathematics Subject Classification ID

Micromechanical theories (74A60) Waves in solid mechanics (74J99) Elastic materials (74B99)

Cites Work

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• One-dimensional dynamically consistent gradient elasticity models derived from a discrete microstructure. I: Generic formulation
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• Vistas of nonlocal continuum physics
• Gradient elasticity and nonstandard boundary conditions
• On a theory of nonlocal elasticity of bi-Helmholtz type and some applications
• Nonlocal Continuum Field Theories
• A new formulation and 0-implementation of dynamically consistent gradient elasticity

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