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Fracture model for beryllium and other materials

The commonly used phenomenological constitutive models rely on a long-term trial-and-error approach, which led to the development of physically and numerically robust material descriptions. The phenomenology means that the models are “good” in the domain already verified by experiment. Quite often though, extrapolation of the models into the regimes not tested can be troublesome. For instance, these models don’t generally account for specific plastic flow mechanisms such as plasticity and twinning. Beryllium seems to provide an example for such difficulties. In beryllium, we observe brittle-ductile transitions associated with complex fracture processes and the deformation mechanisms include plasticity and twinning. We break the phenomenology and construct a mechanisms-based model that captures deformation mechanisms due to plasticity and twinning and includes brittle and ductile fracture.