Three-dimensional Characteristics of Shear Banding in Metallic Glasses
Nicholas Boffi, Harvard University
A computational framework based on an analogy between the equations for hypo-elastoplastic deformation and the Navier Stokes equations for incompressible fluid flow is developed for the simulation of shear banding in metallic glasses at realistic length and time scales. The framework is extended to an arbitrary transforming domain through a differential-geometric mapping of the relevant partial differential equations from the transforming domain to the unit cube. A custom-developed C++ template and metaprogramming-based implementation then enables the simulation of complex boundary conditions through the definition of a single transformation matrix. Uniquely three-dimensional initial conditions are simulated and discussed to uncover and understand three-dimensional properties of shear banding in metallic glasses unobserved in previous one- and two-dimensional studies.
Abstract Author(s): Nicholas M. Boffi, Chris H. Rycroft