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A constitutive model for strain-rate dependent ductile-to-brittle transition

By S. Fortino, J. Hartikainen, K. Kolari, R. Kouhia and T. Manninen


Most materials exhibit rate-dependent inelastic behaviour. Increasing strain-rate usually increases the yield stress thus enlarging the elastic range. However, the ductility is gradually lost, and for some materials there exist a rather sharp transition strain-rate after which the material behaviour is completely brittle. In this paper, a simple phenomenological approach to model ductile-to-brittle transition of rate-dependent solids is presented. The model is based on a consistent thermodynamic formulation using proper expressions for the Helmholtz free energy and the dissipation potential, which is additively split into damage and visco-plastic parts, and the transition behaviour is obtained through a stress dependent damage potential. In addition, the basic features of the model are discussed and a numerical example is presented.

Year: 2006
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