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- W4327777772 abstract "In the article the problem of mathematical modelling of mechanical characteristics of viscoelastic transtropic fibrous composite is considered. The object of the research is viscoelastic transversely isotropic composite with periodic structure. Elements of its cell are transversely isotropic viscoelastic matrix and elastic fiber. The problem of determination of effective characteristics for integral operator of viscoelastic composite. This operator is constructed in accordance to Boltzmann-Volterra’s legacy theory. Problem for composite, when its constituent elements are isotropic viscoelastic matrix and elastic transtropic fiber is solved. Abel kernel is matrix relaxation kernel. From array of composite material the representative element is singled out. Its physicalmechanical characteristics are typical for entire composite. It contains fiber with matrix that surrounds it. In the paper parameters of effective longitudinal modulus of elasticity are obtained. For viscoelastic material it is integral operator in which one needs to determine constant momentary modulus of elasticity and relaxation kernel. For determination of these characteristics two axis-symmetrical problems for cylindrical representative cell of composite are being solved. First problem consists of determination of tensely-deformed condition components during compatible longitudinal deformation of isotropic viscoelastic matrix and transtropic fiber. On the edge of separation of matrix and fiber continuity of radial movings and tensions is foreseen. By solving this problem, we find all components of tensely-deformed condition for this composed cylindrical cell. We solve the similar boundary value problem for solid cylindrical cell, that models homogenized transtropic material with unknown viscoelastic characteristics. By comparison of axial deformations of points of both cylindrical cells, formulas for parameters of effective integral operator of viscoelastic composite are obtained." @default.
- W4327777772 created "2023-03-19" @default.
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- W4327777772 date "2022-01-01" @default.
- W4327777772 modified "2023-09-23" @default.
- W4327777772 title "HOMOGENIZATION OF VISCOELASTIC COMPOSITE DURING LONGITUDINAL STRETCHING" @default.
- W4327777772 doi "https://doi.org/10.26661/2786-6254-2022-2-04" @default.
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