.. include:: sub.txt ================== CycLiqCPSP ================== .. function:: nDMaterial('CycLiqCPSP', matTag, G0, kappa, h, M, dre1, dre2, rdr, alpha, dir, lambdac, ksi, e0, np, nd, ein, rho) :noindex: 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. CycLiqCPSP material is a constitutive model for sand with special considerations for cyclic behaviour and accumulation of large post-liquefaction shear deformation, and is implemented using a cutting plane algorithm. The model: (1) achieves the simulation of post-liquefaction shear deformation based on its physics, allowing the unified description of pre- and post-liquefaction behavior of sand; (2) directly links the cyclic mobility of sand with reversible and irreversible dilatancy, enabling the unified description of monotonic and cyclic loading; (3) introduces critical state soil mechanics concepts to achieve unified modelling of sand under different states. The critical, maximum stress ratio and reversible dilatancy surfaces follow a rounded triangle in the pi plane similar to the Matsuoka-Nakai criterion. 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 ``M`` |float| Critical state stress ratio ``dre1`` |float| Coefficient for reversible dilatancy generation ``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 ``lambdac`` |float| Critical state constant ``ksi`` |float| Critical state constant ``e0`` |float| Void ratio at pc=0 ``np`` |float| Material constant for peak mobilized stress ratio ``nd`` |float| Material constant for reversible dilatancy generation stress ratio ``ein`` |float| Initial void ratio ``rho`` |float| Saturated mass density ================================ =========================================================================== The material formulations for the CycLiqCP object are: * ``'ThreeDimensional'`` * ``'PlaneStrain'`` See also `here `_ REFERENCES: Wang R., Zhang J.M., Wang G., 2014. A unified plasticity model for large post-liquefaction shear deformation of sand. Computers and Geotechnics. 59, 54-66.