One-dimensional nonlocal and gradient elasticity: assessment of high order approximation schemes

DOI10.1016/j.cma.2014.02.015zbMath1296.74011OpenAlexW2139645236MaRDI QIDQ459338

J. Herrera, D. Rodríguez-Gómez

Publication date: 8 October 2014

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2014.02.015

zbMATH Keywords

FEMB-splinesnonlocal elasticitystrain gradient elasticity\(C^\infty\) GFEM

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (6)

High-order spatial simulation using Legendre-like orthogonal splines ⋮ Consistent integration schemes for meshfree analysis of strain gradient elasticity ⋮ Euler-Bernoulli elastic beam models of Eringen's differential nonlocal type revisited within a \(C^0\)-continuous displacement framework ⋮ On using mesh-based and mesh-free methods in problems defined by Eringen's non-local integral model: issues and remedies ⋮ Two- and three-dimensional size-dependent couple stress response using a displacement-based variational method ⋮ Isogeometric analysis of composite beams with arbitrary cross-section using dimensional reduction method

Uses Software

• GeoPDEs

Cites Work

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