Semi-analytical solution by Cartesian harmonic polynomials for a problem of deformation of a long, current-carrying elastic cylindrical conductor

DOI10.1177/1081286520916221OpenAlexW3035632852MaRDI QIDQ4971526

A. F. Ghaleb, S. M. El Sheshtawy, Abdel-Shafy Fahmy Obada, Moustafa S. Abou-Dina

Publication date: 12 October 2020

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

Full work available at URL: https://doi.org/10.1177/1081286520916221

zbMATH Keywords

plane problemsemi-analytical solutionlong cylindermagnetic vector potentialthermomagnetoelasticityelectric conductorCartesian polynomials

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX)

Related Items (1)

A problem of thermo-magnetoelasticity for a system of parallel electrical conductors by Cartesian harmonic polynomials and rational functions

Cites Work

• Inelastic deformation of conductive bodies in electromagnetic fields
• Mechanics and electrodynamics of magneto- and electro-elastic materials. Papers based on the presentations at the advanced school, Udine, Italy, June 29 to July 3, 2009.
• A plane problem of uncoupled thermomagnetoelasticity for an infinite, elliptical cylinder carrying a steady axial current by a boundary integral method
• Field matter interactions in thermoelastic solids. A unification of existing theories of electro-magneto-mechanical interactions
• Deformation of a long, current-carrying elastic cylinder of square cross-section: numerical solution by boundary integrals
• Deformation of an elastic magnetizable square rod due to a uniform electric current inside the rod and an external transverse magnetic field
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