Dynamic centrifuge modelling has been used to observe amplification of lateral displacements and unstable collapse in pile groups under the action of significant axial load and in liquefiable soils with low stiffness. The popular pseudostatic non-linear p-y analysis method has here been developed to account for such instability effects using the Riks post-buckling analysis method, here implemented in ABAQUS. The numerical method was validated against centrifuge model tests presented in the companion paper and pre-collapse amplification effects and collapse loads were found to be well predicted. The model was extended to examine the response of 2 x 2 pile groups formed from 0.5 m diameter piles with bending properties typical of steel and re...