Dynamic finite element analysis of a gradient elastic bar with micro-inertia

DOI10.1007/s00466-009-0453-9zbMath1362.74032OpenAlexW2009078070MaRDI QIDQ848815

Sotirios P. Filopoulos, S. I. Markolefas, George J. Tsamasphyros, Theodosios K. Papathanasiou

Publication date: 23 February 2010

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-009-0453-9

zbMATH Keywords

finite elementsdispersioneigenfrequencymodal analysisgradient elasticitymicro-mechanicsmicro-inertia

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Micromechanics of solids (74M25) Modal analysis in linear vibration theory (70J10)

Related Items (2)

On the capability of generalized continuum theories to capture dispersion characteristics at the atomic scale ⋮ Finite element simulation of a gradient elastic half-space subjected to thermal shock on the boundary

Cites Work

• Some \(C^0\)-continuous mixed formulations for general dipolar linear gradient elasticity boundary value problems and the associated energy theorems
• Mixed finite element formulation for the general anti-plane shear problem, including mode III crack computations, in the framework of dipolar linear gradient elasticity
• Wave dispersion in gradient elastic solids and structures: a unified treatment
• Mixed finite element formulations of strain-gradient elasticity problems
• Dispersive Rayleigh-wave propagation in microstructured solids characterized by dipolar gradient elasticity
• Static and dynamic analysis of a gradient-elastic bar in tension
• Micro-structure in linear elasticity
• The Mode III Crack Problem in Microstructured Solids Governed by Dipolar Gradient Elasticity: Static and Dynamic Analysis

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