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One variant of the model of a viscoelastic body at large deformations. (English. Russian original) Zbl 0539.73041
Sov. Appl. Mech. 19, 615-618 (1983); translation from Prikl. Mekh., Kiev 19, No. 7, 61-65 (1983).
The basic relations describing the behavior of a body made of viscoelastic material at large deformations are presented.

MSC:
74B99 Elastic materials
74C99 Plastic materials, materials of stress-rate and internal-variable type
74D99 Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials)
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
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References:
[1] R. M. Christensen, Theory of Viscoelasticity: An Introduction, Academic Press (1970).
[2] V. A. Levin and G. S. Taras’ev, ?Imposing large elastic deformations in a space of finite states,? Dokl. Akad. Nauk SSSR,251, No. 1, 63?66 (1980).
[3] L. M. Nechaev and G. S. Taras’ev, ?Stress concentrations around a tunnel that is circular in the intermediate stage in a nonlinearly elastic body,? Dokl. Akad. Nauk SSSR,215, No. 2, 301?304 (1973).
[4] Yu. N. Rabotnov, Creep of Structural Elements [in Russian], Nauka, Moscow (1962).
[5] L. I. Sedov, Introduction to Continuum Mechanics [in Russian], Fizmatgiz, Moscow (1962).
[6] G. S. Taras’ev, ?Imposition of finite elastic deformations,? Tekhnologiya, No. 20, 142?148 (1970).
[7] G. S. Taras’ev, ?Equations of nonlinear elasticity theory in terms of the displacements,? Prikl. Mekh.,7, No. 2, 26?33 (1971).
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