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Uniaxial ratchetting in linear viscoelasticity

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Summary

The aim of this paper is to discuss the behaviour of linear viscoelasticity laws for cyclic stress controlled loading histories. In particular, attention is drawn to the so-called ratchetting phenomenon. The analysis is based on sawtooth input functions for the stress with constant absolute value for the stress rate. For these functions, analytical formulas are derived and explicit expressions for the strain increment per cycle, the cycle dependent mean strain, as well as the asymptotic strains, are given.

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References

  1. Findley, W. N., Lai, J. S., Onaran, K.: Creep and relaxation of nonlinear viscoelastic materials. Amsterdam: North-Holland 1976.

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  2. Gurtin, M. E., Herrera, I.: On dissipation inequalities and linear viscoelasticity. Q. Appl. Math.23, 235–245 (1965).

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  3. Kamlah, M., Korzeń, M., Tsakmakis, Ch.: Uniaxial ratchetting in rate-independent plasticity laws. Acta Mech.120, 173–198 (1997).

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Author notes

  1. M. Korzeń

    Present address: Laboratorium VII.22, Bundesanstalt für Materialforschung und-prüfung (BAM), Unter den Eichen 87, D-12205, Berlin

  2. Ch. Tsakmakis

    Present address: Technik und Umwelt, Institut für Materialforschung II, Forschungszentrum Karlsruhe, Postfach 36 40, D-76021, Karlsruhe, Germany

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    1. M. Korzeń
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    2. Ch. Tsakmakis
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    Korzeń, M., Tsakmakis, C. Uniaxial ratchetting in linear viscoelasticity. Acta Mechanica 120, 157–172 (1997). https://doi.org/10.1007/BF01174322

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    • DOI: https://doi.org/10.1007/BF01174322

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