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Solution of one boundary value task of viscoelasticity in a nonlinear formulation, in the case of a cubic stress-strain relation

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dc.contributor.author Dzhanmuldaev, B.D.
dc.contributor.author Janmuldayeva, A.B.
dc.contributor.author Jalbyrova, Zh.
dc.contributor.author Smakhanova, A.K.
dc.contributor.author Madelkhanova, A.Z.
dc.date.accessioned 2024-12-25T06:11:22Z
dc.date.available 2024-12-25T06:11:22Z
dc.date.issued 2023
dc.identifier.issn 2409-5508
dc.identifier.other doi.org/10.26577/ijmph.2023.v14.i2.02
dc.identifier.uri http://rep.enu.kz/handle/enu/20345
dc.description.abstract In this paper, the solution of a boundary value task in the nonlinear formulation is considered by the authors [1][2]. In spite of its proximity to linear theory, the nonlinear theory of viscoelasticityhas not yet been fully developed. This issue is far from being fully completed, since the existing calculation methods do not yet provide a complete answer to the many different questions posedby practice. For this reason, in order to obtain a nonlinear law relating the strains σij and deformations εij a number of conditions are formed: (1) The specific work of deformation A must be a function of the entire deformation historyfrom the beginning of deformation to the current time t. (2) The material of a viscoelastic body is homogeneous and isotropic. (3) For very small deformations the nonlinear relation law between σij and εij in the limit should pass to relations in linear approximation. ru
dc.language.iso en ru
dc.publisher International Journal of Mathematics and Physics ru
dc.relation.ispartofseries 14, №2;
dc.subject bulk compression modulus ru
dc.subject linear integral operator ru
dc.subject kernel of integral operator ru
dc.subject nonlinear dependence ru
dc.subject quadratic strain intensity ru
dc.subject Fourier and Laplace transforms ru
dc.title Solution of one boundary value task of viscoelasticity in a nonlinear formulation, in the case of a cubic stress-strain relation ru
dc.type Article ru


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