# 4.15.2.1. CycLiqCP¶

nDMaterial('CycLiqCP', matTag, G0, kappa, h, Mfc, dre1, Mdc, dre2, rdr, alpha, dir, ein, rho)

This command is used to construct a multi-dimensional material object that that follows the constitutive behavior of a cyclic elastoplasticity model for large post- liquefaction deformation.

CycLiqCP material is a cyclic elastoplasticity model for large post-liquefaction deformation, and is implemented using a cutting plane algorithm. The model is capable of reproducing small to large deformation in the pre- to post-liquefaction regime. The elastic moduli of the model are pressure dependent. The plasticity in the model is developed within the framework of bounding surface plasticity, with special consideration to the formulation of reversible and irreversible dilatancy.

The model does not take into consideration of the state of sand, and requires different parameters for sand under different densities and confining pressures. The surfaces (i.e. failure and maximum pre-stress) are considered as circles in the pi plane.

The model has been validated against VELACS centrifuge model tests and has used on numerous simulations of liquefaction related problems.

When this material is employed in regular solid elements (e.g., FourNodeQuad, Brick), it simulates drained soil response. When solid-fluid coupled elements (u-p elements and SSP u-p elements) are used, the model is able to simulate undrained and partially drained behavior of soil.

 matTag (int) integer tag identifying material G0 (float) A constant related to elastic shear modulus kappa (float) bulk modulus h (float) Model parameter for plastic modulus Mfc (float) Stress ratio at failure in triaxial compression dre1 (float) Coefficient for reversible dilatancy generation Mdc (float) Stress ratio at which the reversible dilatancy sign changes dre2 (float) Coefficient for reversible dilatancy release rdr (float) Reference shear strain length alpha (float) Parameter controlling the decrease rate of irreversible dilatancy dir (float) Coefficient for irreversible dilatancy potential ein (float) Initial void ratio rho (float) Saturated mass density

The material formulations for the CycLiqCP object are:

• 'ThreeDimensional'
• 'PlaneStrain'