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Verification of Wide-Range Constitutive Relations for Elastic-Viscoplastic Materials Using the Taylor–Hopkinson Test

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Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

A mathematical model of a solid body with mesoscopic defects is presented and validated. The constitutive relations proposed earlier allow describing the deformation behavior of typical elastic-viscoplastic materials (metals and alloys) in a wide range of strain rates, temperatures, and stresses. Methods for identifying unknown parameters of the model by solving a number of independent optimization problems using data from independent experiments are developed and implemented. For identification we use both the results of a literature review and experimental data. The experimental study on high-speed collision of a cylindrical specimen with an obstacle in the form of a bar (Taylor–Hopkinson test) is carried out by recording the temperature field in the course of deformation. The data are used to verify the model. For comparison the calculations are performed in the three-dimensional statement and in the axisymmetric statement. The formulated boundary value problems are solved numerically by the finite element method. The results of numerical calculations are in good agreement with the experimental data: the shape of the specimen after collision and the measured temperature (mechanical energy dissipation during inelastic deformation) coincide. This confirms the adequacy of the developed mathematical model and indicates that it can be used to solve both fundamental and applied problems of solid mechanics. The analysis of parallelism efficiency shows that the use of eight cores yields a five-fold acceleration and, as the number of cores increases further, this trend presumably continues.

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Funding

The work is supported by the State Task of the Ministry of Science and Higher Education of the Russian Federation (project no. AAAA-A19-119013090021-5).

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Authors and Affiliations

  1. Institute of Continuous Media Mechanics, Ural Branch, Russian Academy of Sciences, Perm, Russia

    Yu. V. Bayandin, D. R. Ledon & S. V. Uvarov

Authors
  1. Yu. V. Bayandin
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  2. D. R. Ledon
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  3. S. V. Uvarov
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Correspondence to Yu. V. Bayandin, D. R. Ledon or S. V. Uvarov.

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Translated by E. Oborin

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Bayandin, Y.V., Ledon, D.R. & Uvarov, S.V. Verification of Wide-Range Constitutive Relations for Elastic-Viscoplastic Materials Using the Taylor–Hopkinson Test. J Appl Mech Tech Phy 62, 1267–1276 (2021). https://doi.org/10.1134/S0021894421070026

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