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• W2079111981 abstract "Spatial non-locality of space-fractional viscoelastic equations of motion is studied. Relaxation effects are accounted for by replacing second-order time derivatives by lower-order fractional derivatives and their generalizations. It is shown that space-fractional equations of motion of an order strictly less than 2 allow for a new kind anisotropy, associated with angular dependence of non-local interactions between stress and strain at different material points. Constitutive equations of such viscoelastic media are determined. Explicit fundamental solutions of the Cauchy problem are constructed for some cases isotropic and anisotropic non-locality." @default.
• W2079111981 created "2016-06-24" @default.
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• W2079111981 date "2012-05-01" @default.
• W2079111981 modified "2023-09-26" @default.
• W2079111981 title "Spatially fractional-order viscoelasticity, non-locality, and a new kind of anisotropy" @default.
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• W2079111981 doi "https://doi.org/10.1063/1.4712300" @default.
• W2079111981 hasPublicationYear "2012" @default.
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