Lamb waves in stratified and functionally graded plates: discrepancy, similarity, and convergence

DOI10.1080/17455030.2019.1683257zbMath1496.74079OpenAlexW2982697103WikidataQ126868331 ScholiaQ126868331MaRDI QIDQ5081709

Sergey V. Kuznetsov

Publication date: 17 June 2022

Published in: Waves in Random and Complex Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17455030.2019.1683257

zbMATH Keywords

homogenizationpolarizationdispersion relationspectral analysisCauchy sextic formalism

Mathematics Subject Classification ID

Plates (74K20) Inhomogeneity in solid mechanics (74E05) Surface waves in solid mechanics (74J15) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

Related Items (5)

Guided waves in FG plates: appearing phase velocity gaps ⋮ Dynamics of thermoelastic Lamb waves in functionally graded nanoplates based on the modified nonlocal theory ⋮ Harmonic acoustic waves in FG rods with exponential inhomogeneity ⋮ Guided waves in anisotropic layers: the low-frequency limits ⋮ A semi-analytical method for computing dispersion curves of propagating waves underground

Cites Work

• Unnamed Item
• Unnamed Item
• Homogenization methods for multi-phase elastic composites with non-elliptical reinforcements: comparisons and benchmarks
• High-precision computation: mathematical physics and dynamics
• The heterogeneous multiscale methods
• A variational approach to the theory of the elastic behaviour of multiphase materials
• Non-homogeneous media and vibration theory
• A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites.
• Explicit limits for nonperiodic homogenization and reduction of dimension
• Long-wave asymptotic theories: the connection between functionally graded waveguides and periodic media
• On the limit and applicability of dynamic homogenization
• On the impossibility of arbitrary deformations in nonlinear elasticity
• Effects of initial stress on guided waves in orthotropic functionally graded plates
• WITHDRAWN: ``Closed form analytical solution for dispersion of Lamb waves in FG plates
• The second-order two-scale computation for integrated heat transfer problem with conduction, convection and radiation in periodic porous materials
• On modifications of Newton's second law and linear continuum elastodynamics

This page was built for publication: Lamb waves in stratified and functionally graded plates: discrepancy, similarity, and convergence