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Effective Variables and Damage Effect Functions

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Encyclopedia of Continuum Mechanics

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Synonyms

Hypotheses of mechanical equivalence; Internal state variables

Definitions

Continuum mechanics (CM) approach provides the constitutive and evolution equations in the framework of thermodynamics of irreversible processes. Within this approach a specific portion of the physical universe (a specific quantity of matter) is considered, which is called a thermodynamic system, and no exchange of matter through the boundary of the system is assumed. The energy exchange between the system and its exterior is an exchange of heat and work done by volume forces or surface forces acting upon the system. In order to fully define the thermodynamic state of a system that is subjected to energy dissipation, a set of internal variables is introduced (in addition to strains and temperature), which describe the rearrangements of the internal structure, accompanied by dissipation. The choice of those so-called internal state variables depends on which phenomenon is accounted for in the...

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Acknowledgements

This work was supported by the National Science Centre through the Grant No. 2017/25/B/ST8/02256.

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Authors and Affiliations

  1. Cracow University of Technology, Kraków, Poland

    Egner Halina & Egner Władysław

Authors
  1. Egner Halina
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  2. Egner Władysław
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Corresponding author

Correspondence to Egner Halina .

Editor information

Editors and Affiliations

  1. Otto-von-Guericke University Magdeburg, Chair of Engineering Mechanics, Institut, Magdeburg, Sachsen-Anhalt, Germany

    Holm Altenbach

  2. Fakultät für Maschinenbau, Hochschule Esslingen, Esslingen am Neckar, Baden-Württemberg, Germany

    Andreas Öchsner

Section Editor information

  1. Cracow University of Technology, Kraków, Poland

    Artur Ganczarski

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Halina, E., Władysław, E. (2019). Effective Variables and Damage Effect Functions. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53605-6_228-1

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  • DOI: https://doi.org/10.1007/978-3-662-53605-6_228-1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-53605-6

  • Online ISBN: 978-3-662-53605-6

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