Solving the Navier-Lamé Equation in Cylindrical Coordinates Using the Buchwald Representation: Some Parametric Solutions with Applications

DOI10.4208/AAMM.OA-2017-0203zbMath1488.35532arXiv1704.06669OpenAlexW2963647832MaRDI QIDQ5156603

Jamal Sakhr, Blaine A. Chronik

Publication date: 11 October 2021

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.06669

zbMATH Keywords

cylindrical coordinatesexact solutionsNavier-Lamé equationBuchwald potentialsBuchwald representation

Mathematics Subject Classification ID

Connections of harmonic functions with differential equations in higher dimensions (31B35) PDEs in connection with mechanics of deformable solids (35Q74) Explicit solutions of dynamical problems in solid mechanics (74H05) Systems of linear higher-order PDEs (35G35)

Related Items (2)

Constructing Separable Non-$2\pi$-Periodic Solutions to the Navier-Lame Equation in Cylindrical Coordinates Using the Buchwald Representation: Theory and Applications ⋮ Harmonic Standing-Wave Excitations of Simply-Supported Thick-Walled Hollow Elastic Circular Cylinders: Exact 3D Linear Elastodynamic Response

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