The large deflection axisymmetric circular plate equations are solved using a finite-difference implementation of the dynamic relaxation (DR) algorithm. The numerical solution is combined with the von Mises yield criterion to provide first yield data for the case of uniform in-plane compression combined with uniform transverse pressure. Data in the form of nondimensional interaction curves are provided for simply supported and clamped plates and for a range of initial deflection amplitudes and slenderness ratios.