Due to size effect in nanotechnology, an appropriate pressure-dependent model is required to define the material yielding in ceramics. Current pressure-dependent models, such as the Mohr-Coulomb and Drucker-Prager (DP) models, have specific shapes and thus cannot be flexibly applied to ceramic materials. This study develops a constitutive model, an integration algorithm, and consistent tangent operators for a piecewise Drucker-Prager (PDP) model. The constitutive model with considering strain hardening with yield flows is derived. The integration algorithm is developed based on return mapping (to smooth portion, apex and corner). The consistent tangent operators are established for each return mapping case.
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