  To model and quantify the variability in plasticity and failure of additively
manufactured metals due to imperfections in their microstructure, we have
developed uncertainty quantification methodology based on pseudo marginal
likelihood and embedded variability techniques. We account for both the
porosity resolvable in computed tomography scans of the initial material and
the sub-threshold distribution of voids through a physically motivated model.
Calibration of the model indicates that the sub-threshold population of defects
dominates the yield and failure response. The technique also allows us to
quantify the distribution of material parameters connected to microstructural
variability created by the manufacturing process, and, thereby, make
assessments of material quality and process control.
