Abstract
We present here a continuum model for the evolution of the total dislocation density in the framework of rate-independent plasticity. Three basic physical features are taken into account: (i) the role of dislocation densities on hardening; (ii) the relations between the slip velocity and the mobility of gliding dislocations; (iii) the energetics of self and mutual interactions between dislocations. We restrict attention to plastic processes corresponding to single slip. Numerical simulations showing the formation of bands are also presented.
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Bortoloni, L., Cermelli, P. Rate-independent plasticity and statistically stored dislocations . Z. angew. Math. Phys. 55, 105–120 (2004). https://doi.org/10.1007/s00033-003-1061-8
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DOI: https://doi.org/10.1007/s00033-003-1061-8