On the dispersion relations for the anti-plane surface wave in the second gradient electroelasticity

DOI10.1134/S1995080221080308zbMath1486.74079OpenAlexW3197198998MaRDI QIDQ1982481

A. Ustenko, Yu. O. Solyaev

Publication date: 8 September 2021

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080221080308

zbMATH Keywords

attenuationcharacteristic internal lengthgradient piezoelectric modulussecond gradient electroelasticitysurface shear wave

Mathematics Subject Classification ID

Electromagnetic effects in solid mechanics (74F15) Surface waves in solid mechanics (74J15)

Cites Work

• One-dimensional dynamically consistent gradient elasticity models derived from a discrete microstructure. I: Generic formulation
• One-dimensional dynamically consistent gradient elasticity models derived from a discrete microstructure. II: Static and dynamic response
• A novel atomistic approach to determine strain-gradient elasticity constants: tabulation and comparison for various metals, semiconductors, silica, polymers and the (ir)relevance for nanotechnologies
• On material equations in second-gradient electroelasticity
• A theory of thermopiezoelectricity with strain gradient and electric field gradient effects
• On the validity range of strain-gradient elasticity: a mixed static-dynamic identification procedure
• Pure bending of a piezoelectric layer in second gradient electroelasticity theory
• Anti-plane inclusion problem in the second gradient electroelasticity theory
• Linear plane wave propagation and normal transmission and reflection at discontinuity surfaces in second gradient 3D continua
• Comparison of anti-plane surface waves in strain-gradient materials and materials with surface stresses

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