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A Constitutive Model for Strain-Rate Dependent Ductile-to-Brittle Transition

Author(s): Hartikainen Juha; Kolari Kari; Kouhia Reijo

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Abstract: Ice and many other materials exhibit rate-dependent inelastic behavior. Increasing strain-rate usually increases the yield stress thus enlarging the elastic range. However, the ductility is gradually lost and there exists a rather sharp transition strain-rate after which material exhibits brittle behavior. In this paper simulations with a phenomenological model to describe ductile to brittle transition of rate-dependent solids are presented. The model is based on a new consistent thermodynamic formulation. In the model the dissipation potential is additively split into damage and visco-plastic parts and the transition behaviour is obtained using a stress dependent damage potential. As shown in the numerical simulations damage evolution governs the brittle failure mode with high strain-rate, while samples strained at low strain rates exhibit extensive viscoplastic deformation.

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Year: 2012

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