Fractional operator viscoelastic models in dynamic problems of mechanics of solids: a review
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Publication:2694926
DOI10.3103/S0025654422010022OpenAlexW4200111179MaRDI QIDQ2694926
Publication date: 4 April 2023
Published in: Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3103/s0025654422010022
linear viscoelasticityRabotnov fractional exponential functionnegative Poisson ratiofractional-order rheological modeltime-dependent Rabotnov operator algebra
Fractional derivatives and integrals (26A33) Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02) Linear constitutive equations for materials with memory (74D05) Applications of fractional calculus in solid mechanics (74S40)
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Impact response of a thin shallow doubly curved linear viscoelastic shell rectangular in plan ⋮ Применение метода Мюллера для определения собственных частот колебаний вязкоупругих тел с частотно-зависимыми характеристиками материала ⋮ Impact of a rigid sphere with an infinite Kirchhoff-Love plate taking into account bulk and shear relaxation ⋮ Random motions in \(\mathbb{R}^3\) with orthogonal directions ⋮ Spectrum of an integro-differential equation of fractional order ⋮ Transmutation operators for eigenfunctions of certain differentiation operators and their fractional powers ⋮ Studying the properties of metamaterials with a negative Poisson's ratio when punched by a rigid impactor ⋮ Qualitative analysis of fractional stochastic differential equations with variable order fractional derivative
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