4.7 Article

Improved thermodynamic treatment of vacancy-mediated diffusion and creep

Journal

ACTA MATERIALIA
Volume 108, Issue -, Pages 347-354

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.actamat.2016.01.017

Keywords

Thermodynamics; Non-equilibrium; Diffusion; Vacancies; Thermodynamic extremal principle

Funding

  1. Austrian Federal Government (Bundesministerium fur Verkehr, Innovation und Technologie)
  2. Styrian Provincial Government
  3. Materials Center Leoben Forschung GmbH in the framework of the Austrian COMET Competence Centre Programme [A1.17]
  4. Czech Science Foundation [15-06390S]
  5. Austrian Federal Government (Bundesministerium fur Wirtschaft und Arbeit)

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Approximately a decade ago a new concept to describe the kinetics of one-phase solid state systems evolving by diffusion and activity of vacancies has been published by the authors. The concept is based on the Onsager-Ziegler Thermodynamic Extremal Principle (TEP). In course of the last decade several improvements and corrections have been performed, which justify an overworking of the concept. A short introduction of the TEP is followed by a detail investigation of the Gibbs energy and its rate as well as of dissipation and dissipation function due to multicomponent diffusion process coupled with vacancy activity provoking swelling/shrinkage and creep and thus internal stress state development. The application of TEP allows an exact derivation of driving forces for the coupled processes. The Manning theory of diffusion is applied and the derivation of evolution equations for all system parameters (site fractions, swelling/shrinkage and creep strain tensor) is provided. (C) 2016 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.

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