Non-linear longitudinal oscillations of a viscoelastic rod in Kelvin's model

DOI10.1016/J.JAPPMATHMECH.2016.03.012zbMath1432.74049OpenAlexW2394590169MaRDI QIDQ2277935

Yu. A. Chirkunov

Publication date: 7 December 2019

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

Full work available at URL: https://doi.org/10.1016/j.jappmathmech.2016.03.012

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear constitutive equations for materials with memory (74D10)

Cites Work

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• On group properties and conservation laws for second-order quasi-linear differential equations
• Generalized equivalence transformations and group classification of systems of differential equations
• On the existence, uniqueness, and stability of solutions of the equation \(p_0 {\mathfrak X}_{tt} = E({\mathfrak X}_ x) {\mathfrak X}_{xx} +\lambda {\mathfrak X}_{xxt}\)

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