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| {{CommandManualMenu}}
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| This command is used to construct a multi-dimensional material object that that
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| follows the constitutive behavior of a cyclic elastoplasticity model for large post-
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| liquefaction deformation.
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| {|
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| | style="background:yellow; color:black; width:800px" | '''nDmaterial CycLiqCP $matTag $G0 $kappa $h $Mfc $dre1 $Mdc $dre2 $rdr $alpha $dir $ein <$rho>'''
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| |}
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| CycLiqCP material is a cyclic elastoplasticity model for large post-liquefaction
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| deformation, and is implemented using a cutting plane algorithm. The model is
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| capable of reproducing small to large deformation in the pre- to post-liquefaction
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| regime. The elastic moduli of the model are pressure dependent. The plasticity in the
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| model is developed within the framework of bounding surface plasticity, with special
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| consideration to the formulation of reversible and irreversible dilatancy.
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| This model does not take the state of sand into consideration, which could limit
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| its simulation performance during large variations of void ratio or confining pressure.
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| The model has been validated against VELACS centrifuge model tests and has used
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| on numerous simulations of liquefaction related problems.
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| When this material is employed in regular solid elements (e.g., FourNodeQuad,
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| Brick), it simulates drained soil response. When solid-fluid coupled elements (u-p
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| elements and SSP u-p elements) are used, the model is able to simulate undrained and
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| partially drained behavior of soil.
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| During the application of gravity load (and static loads if any), the user is suggested to
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| set the material behavior to be linear elastic, with the updateMaterialStage command:
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| updateMaterialStage -material $matTag -stage 0
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| After the gravity load stage, the material stage should be updated to achieve the
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| desired elastic-plastic stress-strain response.
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| updateMaterialStage -material $matTag -stage 1
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| ----
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| {|
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| | style="width:150px" | '''$matTag ''' || integer tag identifying material
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| |-
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| | '''$G0 ''' || A constant related to elastic shear modulus
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| |-
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| | '''$kappa ''' || A constant related to elastic bulk modulus
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| |-
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| | '''$h ''' || Model parameter for plastic modulus
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| |-
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| | '''$Mfc''' || Stress ratio at failure in triaxial compression
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| |-
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| | '''$dre1''' || Coefficient for reversible dilatancy generation
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| |-
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| | '''$Mdc''' || Stress ratio at which the reversible dilatancy sign changes
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| |-
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| | '''$dre2''' || Coefficient for reversible dilatancy release
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| |-
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| | '''$rdr''' || Reference shear strain length
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| |-
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| | '''$alpha''' || Parameter controlling the decrease rate of irreversible dilatancy
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| |-
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| | '''$dir''' || Coefficient for irreversible dilatancy potential
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| |-
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| | '''$ein''' || Initial void ratio
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| |-
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| | '''$rho''' || Saturated mass density
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| |}
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| The material formulations for the CycLiqCP object are "ThreeDimensional" and "PlaneStrain".
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| ----
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| REFERENCES:
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| Zhang J.M. and Wang G., 2012, “Large post-liquefaction deformation of sand, part I: physical mechanism, constitutive description and numerical algorithm”, Acta Geotechnica.
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| ----
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| Code Developed by: <span style="color:blue"> Rui Wang, Tsinghua University</span>
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