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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where k p Gis the plastic shear modulus number; np is the plastic shearmodulus exponent; φ mob is the mobilized friction angle, which is defined bythe stress ratio; φ peak is the peak friction angle; and R f is the failure ration f /n ult , ranging from 0.5 to 1.0, where n f is the stress ratio at failure andn ult is the asymptotic stress ratio from the best fit hyperbola.The hardening rule as reformulated by Tsegaye (2010) in <strong>UBC3D</strong>-<strong>PLM</strong>model is given as:Figure 1.4: The original UBCSAND’s Hardening Rule.Byrne (1998)From Beaty andd sin φ mob = 1.5K p G( ) (pnpp A1 − sin φ ) 2mobR f dλ (1.14)p A p m sinφ peakwhere dλ is the plastic strain increment multiplier.1.3 Plastic Potential FunctionThe plastic potential function specifies the direction of the plastic strain.A non-associated flow rule based on the Drucker-Prager plastic potentialfunction is used in the <strong>UBC3D</strong>-<strong>PLM</strong> (Tsegaye, 2010).8