Multi-displacement microstructure continuum modeling of anisotropic elastic metamaterials

DOI10.1016/j.wavemoti.2011.12.006zbMath1360.74124OpenAlexW2052718741MaRDI QIDQ526491

Yong-Cai Geng, Sumit K. Garg

Publication date: 15 May 2017

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S016521251100148X

zbMATH Keywords

wave propagationcontinuummetamaterialanisotropic mass densitymulti-displacement

Mathematics Subject Classification ID

Micromechanics of solids (74M25) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (10)

Willis elastodynamic homogenization theory revisited for periodic media ⋮ Continuum model of a one-dimensional lattice of metamaterials ⋮ Elastic wave and vibration bandgaps in two-dimensional acoustic metamaterials with resonators and disorders ⋮ Second-order accurate finite-difference scheme for solving the problem of elastic wave diffraction by the anisotropic gradient layer ⋮ Wave dispersion and dissipation performance of locally resonant acoustic metamaterials using an internal variable model ⋮ Nonlocal approaches to the dynamics of metamaterials ⋮ Multi-displacement continuum modelling of the metamaterial plate with periodical arranged resonators ⋮ Dispersion of elastic waves in a micropolar metamaterial plate with periodical arranged resonators ⋮ Volumetric locking issue with uncertainty in the design of locally resonant acoustic metamaterials ⋮ Wave propagation in an elastic metamaterial with anisotropic effective mass density

Cites Work

• Interplay between phononic bandgaps and piezoelectric microstructures for energy harvesting
• Elastic materials with couple-stresses
• Nonlinear theory of simple micro-elastic solids. I
• Micro-structure in linear elasticity
• Effective Willis constitutive equations for periodically stratified anisotropic elastic media
• Effective constitutive relations for waves in composites and metamaterials
• Truss Modular Beams with Deformation Energy Depending on Higher Displacement Gradients
• Microcontinuum Field Theories
• On modifications of Newton's second law and linear continuum elastodynamics
• Continuum Theory for a Laminated Medium
• Elasticity
• Unnamed Item

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