Polycrystal plasticity with grain boundary evolution: a numerically efficient dislocation-based diffuse-interface model

Grain structure plays a key role in the mechanical properties of alloy materials. Engineering grain requires comprehensive understanding evolution boundaries (GBs) when material is subjected to various manufacturing processes. To this end, we present computationally efficient framework describe co-evolution bulk plasticity and GBs. We represent GBs as diffused geometrically necessary dislocations, whose describes GB plasticity. Under representation, described unison using equation for plastic deformation gradient, an central classical crystal theories. reduce number degrees freedom, procedure which combines governing equations each slip rates into set gradient. Finally, outline method introduce synthetic potential drive migration flat GB. Three numerical examples are presented demonstrate model. First, scaling test used computational efficiency our framework. Second, study tricrystal, formed by embedding circular bicrystal, qualitative agreement between predictions model those molecular dynamics simulations Trautt Mishin (2014). effect applied loading texture simulating polycrystal under displacements.