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Home » Research » Publications

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A two-dimensional dislocation dynamics model of the plastic deformation of polycrystalline metals

N. Ahmed, A. Hartmaier

Journal of the Mechanics and Physics of Solids, 58, 2054-2064, (2010)

DOI: 10.1016/j.jmps.2010.09.005

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Two-dimensional dislocation dynamics (2D-DD) simulations under fully periodic boundary conditions are employed to study the relation between microstructure and strength of a material. The material is modeled as an elastic continuum that contains a defect microstructure consisting of a preexisting dislocation population, dislocation sources, and grain boundaries. The mechanical response of such a material is tested by uniaxially loading it up to a certain stress and allowing it to relax until the strain rate falls below a threshold. The total plastic strain obtained for a certain stress level yields the quasi-static stress–strain curve of the material. Besides assuming Frank–Read-like dislocation sources, we also investigate the influence of a pre-existing dislocation density on the flow stress of the model material. Our results show that – despite its inherent simplifications – the 2D-DD model yields material behavior that is consistent with the classical theories of Taylor and Hall–Petch. Consequently, if set up in a proper way, these models are suited to study plastic deformation of polycrystalline materials.

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{"type":"article", "name":"n.ahmed201012", "author":"N. Ahmed and A. Hartmaier", "title":"A twodimensional dislocation dynamics model of the plastic deformation of polycrystalline metals", "journal":"Journal of the Mechanics and Physics of Solids", "volume":"58", "OPTnumber":"", "OPTmonth":"12", "year":"2010", "OPTpages":"2054-2064", "OPTnote":"", "OPTkey":"Dislocation dynamics; polycrystals; plasticity; modeling; Taylor hardening; Hall-Petch hardening", "DOI":"10.1016/j.jmps.2010.09.005"}
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