Statics and dynamics of nanorods embedded in an elastic medium: nonlocal elasticity and lattice formulations

DOI10.1016/j.euromechsol.2017.09.009zbMath1406.74078OpenAlexW2763242029MaRDI QIDQ1788060

Noël Challamel, Isaac Elishakoff, Metin Aydogdu

Publication date: 8 October 2018

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2017.09.009

zbMATH Keywords

dynamicslattice modelsnonlocal elasticitystaticsdistributed forcesinteraction with elastic mediummicrostructured rod

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Classical linear elasticity (74B05) Micromechanics of solids (74M25)

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Static bending of granular beam: exact discrete and nonlocal solutions ⋮ Unified higher-order theory of two-phase nonlocal gradient elasticity ⋮ A generalized integro-differential theory of nonlocal elasticity of \(n\)-Helmholtz type. I: Analytical formulation and thermodynamic framework ⋮ Nonlocality of one-dimensional bilinear hardening–softening elastoplastic axial lattices ⋮ Identification of non-local continua for lattice-like materials ⋮ Nonlocal integral static problems of nanobeams resting on an elastic foundation ⋮ A finite element model for the thermo-elastic analysis of functionally graded porous nanobeams ⋮ Low-order continualization of an anisotropic membrane lattice with next-nearest interactions. Enhanced prediction of its dynamic behaviour

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