12.07.2015 Views

PLAXIS LIQUEFACTION MODEL UBC3D-PLM - Knowledge Base

PLAXIS LIQUEFACTION MODEL UBC3D-PLM - Knowledge Base

PLAXIS LIQUEFACTION MODEL UBC3D-PLM - Knowledge Base

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Sine of the Mobilized Dilatancy Angle (º)sinψmob(max)-sinψmob(max)Dilative areasinφcvContractive areasinφpeakSine of the Mobilized Friction angle (º)Figure 1.5: Graphical representation of the modified Rowe’s flow rule asused in <strong>UBC3D</strong>-<strong>PLM</strong>.1.5 Cyclic Mobility and Stress Reversal<strong>Base</strong>d on the mobilized friction angle an unloading-reloading criterion isdefined in the model as follows:sin φ e m < sin φ 0 m(Unloading; elastic behaviour.) (1.19)sin φ e m > sin φ 0 m(Loading or reloading; plastic behaviour.) (1.20)The previous mobilized friction angle (sin φ o m) is memorized from theprevious calculation step, while the current one (sin φ e m) is calculated basedon the current stresses. During loading, the friction angle is mobilized, andhardening plasticity occurs. During unloading, pure elastic behaviour ispredicted until the stress point reaches the p ′ axis.A soil densification rule was introduced in the latest verion of the <strong>UBC3D</strong>-<strong>PLM</strong> in order to have higher accuracy in the predicted evolution of the excesspore pressures. A secondary yield surface was introduced in the model for10

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