Many important materials, including glasses and ceramics, are of the linearly elastic/brittle variety, obeying a classical Hookean law until an applied load reaches a yield stress, at which point they break into some number of fragments. Predicting the behavior of such materials, through modelling and simulation, is of obvious value to a variety of applications. In this work, we add randomness in material properties into the problem, modelling them via random fields. We then apply tools from uncertainty quantification to investigate the robustness to deformation of materials in the presence of this randomness.
This is joint work with Petr Plechac and Jerome Troy (U. Delaware), and Jarek Knap (APG).
BIO: Gideon Simpson has a PhD from Columbia under Michael I. Weinstein and Marc Spiegelman. Postdocs at U. Toronto and U. Minnesota. Faculty member at Drexel since 2013.