4.14.1.13. PM4Sand¶
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nDMaterial('PM4Sand', matTag, D_r, G_o, h_po, Den, P_atm, h_o, e_max, e_min, n_b, n_d, A_do, z_max, c_z, c_e, phi_cv, nu, g_degr, c_dr, c_kaf, Q_bolt, R_bolt, m_par, F_sed, p_sed) This command is used to construct a 2-dimensional PM4Sand material.
matTag(int)integer tag identifying material D_r(float)Relative density, in fraction G_o(float)Shear modulus constant h_po(float)Contraction rate parameter Den(float)Mass density of the material P_atm(float)Optional, Atmospheric pressure h_o(float)Optional, Variable that adjusts the ratio of plastic modulus to elastic modulus e_max(float)Optional, Maximum and minimum void ratios e_min(float)Optional, Maximum and minimum void ratios n_b(float)Optional, Bounding surface parameter, \(n_b \ge 0\) n_d(float)Optional, Dilatancy surface parameter \(n_d \ge 0\) A_do(float)Optional, Dilatancy parameter, will be computed at the time of initialization if input value is negative z_max(float)Optional, Fabric-dilatancy tensor parameter c_z(float)Optional, Fabric-dilatancy tensor parameter c_e(float)Optional, Variable that adjusts the rate of strain accumulation in cyclic loading phi_cv(float)Optional, Critical state effective friction angle nu(float)Optional, Poisson’s ratio g_degr(float)Optional, Variable that adjusts degradation of elastic modulus with accumulation of fabric c_dr(float)Optional, Variable that controls the rotated dilatancy surface c_kaf(float)Optional, Variable that controls the effect that sustained static shear stresses have on plastic modulus Q_bolt(float)Optional, Critical state line parameter R_bolt(float)Optional, Critical state line parameter m_par(float)Optional, Yield surface constant (radius of yield surface in stress ratio space) F_sed(float)Optional, Variable that controls the minimum value the reduction factor of the elastic moduli can get during reconsolidation p_sed(float)Optional, Mean effective stress up to which reconsolidation strains are enhanced
The material formulations for the PM4Sand object are:
'PlaneStrain'
See als here
References
R.W.Boulanger, K.Ziotopoulou. “PM4Sand(Version 3.1): A Sand Plasticity Model for Earthquake Engineering Applications”. Report No. UCD/CGM-17/01 2017