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

  • Chapter
Mechanics of Solids with Phase Changes

Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 368))

Abstract

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.

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Authors and Affiliations

  1. University of Mining and Metallurgy, Leoben, Austria

    F. D. Fischer

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Editors and Affiliations

  1. University of Metz, France

    M. Berveiller

  2. Leoben University, Austria

    F. D. Fischer

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© 1997 Springer-Verlag Wien

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Fischer, F.D. (1997). Modelling and Simulation of Transformation Induced Plasticity in Elasto-Plastic Materials. In: Berveiller, M., Fischer, F.D. (eds) Mechanics of Solids with Phase Changes. International Centre for Mechanical Sciences, vol 368. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2660-8_6

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  • DOI: https://doi.org/10.1007/978-3-7091-2660-8_6

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-82904-2

  • Online ISBN: 978-3-7091-2660-8

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