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Microstructural evolution in structural materials is known to occur inresponse to mechanical loading and can often accommodate substantial plasticdeformation through the coupled motion of grain boundaries (GBs). This canproduce desirable behavior, such as increased ductility, or undesirablebehavior such as mechanically-induced coarsening. In this work a novel,multiscale model is developed for capturing the combined effect of plasticitymediated by multiple GBs simultaneously. This model is referred to as "grainboundary network plasticity." The mathematical framework of graph theory isused to describe the microstructure connectedness, and the evolution ofmicrostructure is represented as volume flow along the graph. By using theprinciple of minimum dissipation potential, which has previously been appliedto grain boundary migration, a set of evolution equations are developed thattransfer volume and eigendeformation along the graph edges in a physicallyconsistent way. It is shown that higher-order geometric effects, such as thepinning effect of triple points, may be accounted for through the incorporationof a geometric hardening that causes geometry-induced GB stagnation. The resultis a computationally efficient reduced order model that can be used to simulatethe initial motion of grain boundaries in a polycrystal with parametersinformed by atomistic simulations. The effectiveness of the model isdemonstrated through comparison to multiple bicrystal atomistic simulations, aswell as a select number of GB engineered and non-GB engineered data obtainedfrom the literature. The effect of the network of shear-coupling grainboundaries is demonstrated through mechanical response tests and by examiningthe yield surfaces.

Grain boundary network plasticity: reduced-order modeling of deformation-driven microstructure evolution