Utilization of the thermodynamic extremal principle for modelling in material science

  • J. Svoboda
Part of the CISM International Centre for Mechanical Sciences book series (CISM, volume 453)


Modelling represents an important tool in the material science. It can simulate the technological steps as well as predict the material properties. A lot of technological steps are performed as well as several parts are operating at elevated temperatures. Under these conditions the thermodynamics of irreversible processes can describe successfully the processes occurring in the material. Each model represents a simplification of the reality and should be concentrated on the effects of the most interest. In many cases the system can be described by a set of the most characteristic parameters, the evolution of which we are interested in. In the classical way, the evolution of the parameters is obtained by solution of the phenomenological equations given by laws of irreversible thermodynamics. In an alternative way the laws of irreversible thermodynamics can be described by an extremal principle. Some examples of modelling in material science based on application of the extremal principle are presented in this chapter. It is demonstrated, that the application of the extremal principle represents a systematic way, how some models can effectively be developed.


Representative Volume Element Interface Velocity Massive Transformation Extremal Principle Interface Mobility 
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© CISM, Udine 2004

Authors and Affiliations

  • J. Svoboda
    • 1
  1. 1.Institute of Physics of Materials Academy of Sciences of the Czech RepublicBrnoCzech Republic

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