Three-Dimensional Continuum-Level Simulation of Shear Banding in Metallic Glasses

ORAL

Abstract

We simulate a three-dimensional continuum-level elasto-plastic model of a bulk metallic glass based on the shear transformation zone (STZ) theory of amorphous plasticity. The simulation utilizes a new projection method valid in the quasi-static limit based on a mathematical correspondence between the Navier-Stokes equations for incompressible fluid flow and the equations of quasi-static hypoelastoplasticity. We test the method by simulating three-dimensional shear band nucleation and growth in materials undergoing simple shear. We also present a variation of the method based on a coordinate transformation that enables direct mapping between continuum-level boundary conditions and the Lees-Edwards boundary conditions that are frequently imposed in molecular dynamics simulations, enabling direct comparisons between continuum and discrete simulation.

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Presenters

  • Nicholas Boffi

    Applied Mathematics, Harvard University

Authors

  • Nicholas Boffi

    Applied Mathematics, Harvard University

  • Christopher Rycroft

    SEAS, Harvard Univ, Harvard University, SEAS, Harvard University, John A. Paulson School of Engineering and Applied Sciences, Harvard University, Harvard Univ, Paulson School of Engineering and Applied Sciences, Harvard University, Applied Mathematics, Harvard University