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- W2894965112 abstract "In the work, the general mathematical model of two-dimensional viscoelastic deformation using the fractional integro-differential apparatus is constructed. The relations in the differential and integral forms are given to present two-dimensional Kelvin's and Voigt's rheological models. The algorithm of a numerical method for solving the problem, based on the use of finite-difference schemes, was developed. The analytical expressions to describe deformations of one-dimensional fractal models are given, and on the basis of which the identification of fractional-differential parameters is carried out. The influence of fractal parameters on the dynamics of deformation and stress variation for different rheological models is investigated." @default.
- W2894965112 created "2018-10-12" @default.
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- W2894965112 date "2018-08-01" @default.
- W2894965112 modified "2023-10-18" @default.
- W2894965112 title "Mathematical Modeling of Two-Dimensional Deformation-Relaxation Processes in Environments with Fractal Structure" @default.
- W2894965112 cites W2616471867 @default.
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- W2894965112 doi "https://doi.org/10.1109/dsmp.2018.8478569" @default.
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