Abstract
Four pressure-sensitive phenomenological constitutive models for brittle ceramics are compared to available experimental data over a wide range of materials and confinement pressures. It is shown that the linear Mohr–Coulomb and Drucker Prager models are only applicable at low pressures. While the nonlinear strain-rate dependent Johnson–Holmquist (JH-2) model provides a reasonable fit to experimental data up to HEL for most materials, it completely fails to capture the experimentally observed pressure and strain-rate independent strength saturation of ceramics at pressures beyond HEL. It is demonstrated that the extended Mohr–Coulomb model is the only model that can not only capture the linear response at low pressures, but also the experimentally observed nonlinear response at higher pressures up to HEL and the pressure-independent response beyond HEL with a single curve. Further, the constants used in this model are shown to be universal and applicable to most brittle materials, allowing the model to be used in the absence of additional experimental data. The potential to extend the extended Mohr–Coulomb model to damaged ceramics and its implementation into computational codes is also discussed.
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