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On Thermodynamic Foundations of Viscoplasticity

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Mechanical Behavior of Materials under Dynamic Loads

Abstract

The aim of the present paper is to discuss the thermodynamic approach to combined treatment of rheologic and plastic phenomena and to construct a thermodynamic theory of non-linear viscoplastic materials which may be used to describe the behavior of metals under dynamic loads.

In the first part of this paper the discussion is given of three different thermodynamic approaches to continuous media. It is shown that the thermodynamic foundations of viscoplasticity may be considered within the framework of the continuum mechanics of materials with memory. A non-linear material with memory is denned by a system of constitutive equations in which some state functions such as the stress tensor, the internal energy, the heat flux, etc., are determined as functional of a function which represents the time history of the local configuration of a material particle.

As a result of simultaneous introduction of elastic, viscous and plastic properties of a material, a description of the actual state functions involves the history of the local configuration expressed as a function of the time and of the path.

The restrictions which impose the second law of thermodynamics and the principle of material objectivity have been analyzed.

In the second part of this paper some particular cases of constitutive equations are discussed. Among others, a viscoplastic material of the rate type and a strain-rate sensitive plastic material are examined.

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Authors and Affiliations

  1. Institute of Basic Technical Research, Polish Academy of Sciences, Warsaw, Poland

    Piotr Perzyna

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  1. Piotr Perzyna
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Editors and Affiliations

  1. Southwest Research Institute, San Antonio, Texas, USA

    Ulric S. Lindholm

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© 1968 Springer-Verlag New York Inc.

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Perzyna, P. (1968). On Thermodynamic Foundations of Viscoplasticity. In: Lindholm, U.S. (eds) Mechanical Behavior of Materials under Dynamic Loads. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-87445-1_4

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  • DOI: https://doi.org/10.1007/978-3-642-87445-1_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-87447-5

  • Online ISBN: 978-3-642-87445-1

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