A Consistent Scaling Framework for Simulating High Rate Brittle Failure Problems

We develop a material model that includes non-linear kinematics, a Mie-Grüneisen equation of state, and material failure based on an interacting microcrack damage model. This material model is well suited for simulating hypervelocity impacts on brittle materials. By accounting for the subscale distribution of cracks within the material, we are able to produce a material model that does not require assumptions about how material strength scales with specimen size. This allows us to calibrate the model at laboratory scales and then apply the model under conditions that are not achievable in a laboratory setting such as asteroid impacts.