Multiscale modeling of microstructured solids

DOI10.1016/J.MECHRESCOM.2010.07.020zbMath1272.74325OpenAlexW2151375855MaRDI QIDQ366565

Tanel Peets, Arkadi Berezovski, Yu. K. Ehngel'brekht

Publication date: 13 September 2013

Published in: Mechanics Research Communications (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0093641310001084

zbMATH Keywords

microstructurewave propagationdispersionwave hierarchy

Mathematics Subject Classification ID

Micromechanics of solids (74M25) Linear waves in solid mechanics (74J05)

Related Items (7)

Dynamic problems for metamaterials: review of existing models and ideas for further research ⋮ Variational foundations and generalized unified theory of RVE-based multiscale models ⋮ Scaling and hierarchies of wave motion in solids ⋮ Negative group velocity in solids ⋮ Reconstruction of coefficients of higher order nonlinear wave equations by measuring solitary waves ⋮ Waves in microstructured solids: a unified viewpoint of modeling ⋮ Nonlinear waves and solitons in complex solids

Cites Work

• Unnamed Item
• Elastic media with microstructure. I: One-dimensional models. (Transl. from the Russian)
• One-dimensional dynamically consistent gradient elasticity models derived from a discrete microstructure. I: Generic formulation
• Elastic media with microstructure II. Three-dimensional models. Transl. from the Russian
• Internal variables and dynamic degrees of freedom
• Nonlinear theory of simple micro-elastic solids. I
• Micro-structure in linear elasticity
• DEFORMATION WAVES IN MICROSTRUCTURED SOLIDS AND DISPERSION
• On causality of the gradient elasticity models
• A Dispersive Model for Wave Propagation in Periodic Heterogeneous Media Based on Homogenization With Multiple Spatial and Temporal Scales
• One-Dimensional Microstructure Dynamics
• A Dispersive Effective Medium for Wave Propagation in Periodic Composites

This page was built for publication: Multiscale modeling of microstructured solids