Modelling and Simulation of Transformation Induced Plasticity in Elasto-Plastic Materials

  • F. D. Fischer
Part of the International Centre for Mechanical Sciences book series (CISM, volume 368)


First a phase change process in a certain microregion of a material is described in phenomenological terms by the appearance of a transformation tensor which can be interpreted as an eigenstrain tensor or a strain incompatibility. By applying the irreversible thermodynamics of solids the rates of state functions for a material specimen are derived. The integration of these rates allows to establish a condition for the transformation of a microregion by an interface movement. Further a thermodynamic condition for the sudden transformation of a certain microregion is derived. Both considerations lead to an equivalent transformation condition relating a chemical and a mechanical driving force to a transformation and mechanical barrier. This transformation condition is applied to the selection of variants in the case of a displacive transformation demonstrating the orientation effect on a global deformation. The accommodation effect resulting from the transformation volume (and shape) change is investigated for a specimen under a constant external stress state. Extended relations compared to the “classical” solution by Greenwood and Johnson are presented based on a semianalytical concept. Then a more sophisticated incremental procedure is introduced allowing to predict both the orientation effect and the accommodation effect of an ongoing transformation on the global deformation behavior. Proposals for a modified constitutive law for an elasto-plastic material considering a solid phase transformation are neglected.

Finally the concept of both a chemical and mechanical driving force is applied to derive a transformation kinetics relation for a displacive transformation. Here the “classical” phenomenological relations (e.g. by Koistinen and Marburger) are extended by a stress term based on a thermodynamical and micromechanical consideration.


Martensitic Transformation Shape Memory Alloy Habit Plane Orientation Effect Martensite Volume Fraction 
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© Springer-Verlag Wien 1997

Authors and Affiliations

  • F. D. Fischer
    • 1
  1. 1.University of Mining and MetallurgyLeobenAustria

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