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IssuesArchive of Issues2023-7pp.2595-2601

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D.V. Georgievskii, "Schemes of Experiments to Determine the Kernels of Some Difference-Type Operators for Media with a Non-Relaxing Volume," Mech. Solids. 58 (7), 2595-2601 (2023)
Year 2023 Volume 58 Number 7 Pages 2595-2601
DOI 10.3103/S0025654423070099
Title Schemes of Experiments to Determine the Kernels of Some Difference-Type Operators for Media with a Non-Relaxing Volume
Author(s) D.V. Georgievskii (Lomonosov Moscow State University, Moscow, Russia; Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences (IPMech RAS), Moscow, 119526 Russia; Moscow Center for Fundamental and Applied Mathematics, Moscow, 119991 Russia, georgiev@mech.math.msu.su)
Abstract In the framework of integral constitutive relations for linear isotropic viscoelastic media with difference-type kernels in the case of a non-relaxing volume, we propose possible experimental setups for determining the kernels of the Ilyushin operators gβ, supplementing the known methods. One of them is based on the use of a sample of an auxiliary viscoelastic solid, the material functions of which are related to the creep function and bulk modulus of the initial material. Similar schemes of the experimental setup are also proposed for finding the kernels of the operators hγ, which are conjugate to gβ in a certain sense.
Keywords viscoelasticity, creep, relaxation, non-relaxing volume, difference-type operator, kernel, interpretation (decoding) of the operator, material function, experimental setup
Received 14 October 2022Revised 16 December 2022Accepted 17 December 2022
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