On the properties of phononic eigenvalue problems

DOI10.1016/j.jmps.2019.07.005zbMath1479.74069arXiv1902.07144OpenAlexW2916333890WikidataQ127588709 ScholiaQ127588709MaRDI QIDQ2075612

Amir Ashkan Mokhtari, Yan Lu, Ankit Srivastava

Publication date: 15 February 2022

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.07144

zbMATH Keywords

wave propagationscatteringspectral theoremmetamaterialphononicsmodeshape orthogonality

Mathematics Subject Classification ID

Spectral and related methods applied to problems in solid mechanics (74S25) Waves in solid mechanics (74J99)

Related Items (3)

Spectral extended finite element method for band structure calculations in phononic crystals ⋮ Scattering of in-plane elastic waves at metamaterial interfaces ⋮ Effects of the nanofiller addition on the band gap and complex dispersion curve of phononic crystals

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Least-squares finite element methods
• Level repulsion and band sorting in phononic crystals
• Variational methods for phononic calculations
• Reduced Bloch mode expansion for periodic media band structure calculations
• Wave propagation and natural modes in periodic systems: I. Mono-coupled systems
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
• Evanescent wave boundary layers in metamaterials and sidestepping them through a variational approach

This page was built for publication: On the properties of phononic eigenvalue problems