If the hydrostatic pressure is defined as p = -1/3 trace(σ), where σ is the Cauchy stress tensor, and under the assumption that Drucker-Prager failure surface circumscribes the Mohr-Coulomb failure surface and for the case of uniform confinement, the linearly extended Drucker-Prager model can be expressed by:
F = [(3 - sin(φ)) / 6 cos(φ)] q - p tan(φ) - c = 0
where q is the von Mises equivalent stress.
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