Revisiting the Love hypothesis for introducing dispersion of longitudinal waves in elastic rods

DOI10.1016/j.euromechsol.2024.105257zbMATH Open1548.74295MaRDI QIDQ6540439

Andrea Nobili, Giuseppe Saccomandi

Publication date: 15 May 2024

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

zbMATH Keywords

dispersionlinear KdV equationBishop-Love equationlow-time perturbation processMindlin-Herrmann system

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Linear waves in solid mechanics (74J05)

Cites Work

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• Nonlinear elastic waves in rods
• A treatise on the mathematical theory of elasticity. 4. ed.
• The theory of sound. Vol. I. Second edition.
• Asymptotically approximate model equations for nonlinear dispersive waves in incompressible elastic rods
• Microstructured induced band pattern in love wave propagation for novel nondestructive testing (NDT) procedures
• Nonlinear Waves in a Rod: Results for Incompressible Elastic Materials
• Solitary waves on nonlinear elastic rods. I
• Solitary-Wave Interactions in Elastic Rods
• Asmptoticaliy Approximate Model Equations for Weakly Nonlinear Long Waves in Compressible Elastic Rods and their Comparisons with Other Simplified Model Equations
• Solitary shock waves and other travelling waves in a general compressible hyperelastic rod
• A critical study of the Hopkinson pressure bar

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