Lamb waves in functionally graded magnetoelectric microplates with different boundary conditions

DOI10.1007/S00707-023-03636-WzbMath1530.74036MaRDI QIDQ6074798

Hongmei Zhou, Chuang Yang, Cancan Liu, Jiangong Yu, Xiao-Ming Zhang

Publication date: 19 September 2023

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

eigenvectormatrix eigenvalue problemLegendre polynomial seriestime-harmonic P-SV wave couple

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Plates (74K20) Inhomogeneity in solid mechanics (74E05) Electromagnetic effects in solid mechanics (74F15) Linear waves in solid mechanics (74J05)

Cites Work

• Static bending and free vibration of a functionally graded piezoelectric microplate based on the modified couple-stress theory
• Reflection and transmission of elastic waves through a couple-stress elastic slab sandwiched between two half-spaces
• Couple stress based strain gradient theory for elasticity
• Complex guided waves in functionally graded piezoelectric cylindrical structures with sectorial cross-section
• Study on wave dispersion characteristics of piezoelectric sandwich nanoplates considering surface effects
• Relations between integrated tails and moments based on the deficit at ruin in the renewal risk model
• Propagation of Love-type wave in functionally graded pre-stressed magneto-visco-elastic fiber-reinforced composite structure
• Lamb wave extraction of dispersion curves in micro/nano-plates using couple stress theories
• Rayleigh waves obtained by the indeterminate couple-stress theory

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