Abstract Scope |
Grain boundaries form complex, interconnected networks in crystalline materials. Many characterization methods depend on statistical analysis, simplified dimensionality, 2D structures, and binary constitutive models to represent grain boundary networks and their connection to material properties. This style of analysis often neglects the highly interconnected, high-dimensional nature of 3D grain boundaries, which, in turn, obscures valuable characterization opportunities. In this presentation, we utilize spectral graph theory as a method for capturing the 3D network behavior of grain boundaries. We present a method for decoding this spectral representation into network specific characteristics. We then describe the effects these network characteristics have on macroscopic material properties. |