Mathematical modeling of hereditary elastically deformable body on the basis of structural models and fractional integro-differentiation Riemann–Liouville apparatus

Mathematical modeling of hereditary elastically deformable body on the basis of structural models and fractional integro-differentiation Riemann–Liouville apparatus

The standard one-dimensional generalized model of a viscoelastic body and some of its special cases—Voigt, Maxwell, Kelvin and Zener models are considered. Based on the V. Volterra hypothesis of hereditary elastically deformable solid body and the method of structural modeling the fractional analogu...

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Bibliographic Details
Main Authors: Eugeniy N. Ogorodnikov, Vladimir P. Radchenko, Luiza G. Ungarova
Format: Article
Language:English
Published: Samara State Technical University 2016-03-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Subjects:
structural models
rheological models
viscoelasticity
creep
fractional calculus
the operators of Riemann–Liouville fractional integration and differentiation
fractional integral and differential equations
parametric identification
experimental data
Mittag–Leffler type function
Online Access:http://mi.mathnet.ru/eng/vsgtu1456

Internet

http://mi.mathnet.ru/eng/vsgtu1456

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