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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2025 Number 6, Pages 76–80 (Mi vmumm4737)

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Generalized model of standard linear solid for the case of finite deformations

E. D. Martynova, A. K. Markin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The paper develops a finite deformation extension of a three-element viscoelastic model. We demonstrate that, unlike Maxwell model, our approach describes limited creep.

Key words: viscoelasticity, finite deformations, Gordon–Showalter objective derivative family.

UDC: 539.3

Received: 05.03.2025

DOI: 10.55959/MSU0579-9368-1-66-6-13



© Steklov Math. Inst. of RAS, 2026