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On Stress Relaxation in Bended Viscoelastic Plate with Tension–Compression Asymmetry

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Abstract

This paper provides, a closed-form analytical solution to the plane-strain problem of stress relaxation in a bended plate with tension–compression asymmetry (TCA) in viscous properties. Reversible and irreversible strains are assumed to be finite. A linear viscous model with equivalent stress that is a piecewise linear function of the principal stresses with the TCA parameter is utilized. Features of the solution specific to this model are discussed.

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Funding

The reported study was carried out within the framework of the state assignment of the KhFRC FEB RAS.

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  1. Institute of Machinery and Metallurgy, Khabarovsk Federal Research Center, Far Eastern Branch of the Russian Academy of Sciences, 681005, Komsomolsk-on-Amur, Russia

    G. M. Sevastyanov

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Correspondence to G. M. Sevastyanov.

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Translated by A. Ivanov

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Sevastyanov, G.M. On Stress Relaxation in Bended Viscoelastic Plate with Tension–Compression Asymmetry. Mech. Solids 58, 2920–2932 (2023). https://doi.org/10.3103/S0025654423080186

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  • DOI: https://doi.org/10.3103/S0025654423080186

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