Finite element modelling of wave dispersion with dynamically consistent gradient elasticity

DOI10.1007/S00466-008-0347-2zbMath1398.74300OpenAlexW2125934219MaRDI QIDQ1021160

Terry Bennett, Harm Askes

Publication date: 8 June 2009

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

Full work available at URL: https://doi.org/10.1007/s00466-008-0347-2

zbMATH Keywords

wave propagationinternal lengthgradient elasticitywave dispersionhigher-order continuuminternal inertia

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Finite element methods applied to problems in solid mechanics (74S05) Wave scattering in solid mechanics (74J20) Elastic materials (74B99)

Related Items (5)

Damage regularisation with inertia gradients ⋮ A high order homogenization model for transient dynamics of heterogeneous media including micro-inertia effects ⋮ Operator Splits and Multiscale Methods in Computational Dynamics ⋮ Reducible and irreducible forms of stabilised gradient elasticity in dynamics ⋮ Mono-scale and multi-scale formulations of gradient-enriched dynamic piezomagnetics

Cites Work

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• A Dispersive Model for Wave Propagation in Periodic Heterogeneous Media Based on Homogenization With Multiple Spatial and Temporal Scales
• A new formulation and 0-implementation of dynamically consistent gradient elasticity
• Torsional surface waves in a gradient-elastic half-space.

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