suanPan-manual
  • Introduction
  • Basic
    • Obtain Application
    • Configure Application
    • Perform Analysis
    • Model Syntax
    • Model Structure
    • Tweak Performance
    • Compile Application
    • Build Documentation
    • Architecture Design
    • On Clusters
  • Example
    • Developer
      • element template
      • material template
    • Solid
      • wave propagation
    • Geotechnical
      • triaxial compression of sand
      • slope analysis
    • Structural
      • Statics
        • bending of a cantilever beam
        • bifurcation of a cantilever beam
        • double-edge notched specimen
        • lees frame
        • notched beam under cyclic loading
        • rc section analysis
        • truss roof
        • uniform tension of a rubber specimen
        • thin-walled section analysis for frame structures
        • calibration of subloading surface model
      • Dynamics
        • bouncing of a ball
        • mass-spring-dashpot system
        • dynamic analysis of a portal frame
        • elemental damping
        • particle collision
        • response history analysis of an elastic coupled wall
        • multi-support excitation
        • triple pendulum
        • computing response spectrum
        • integrate with python
        • process ground motion
      • Hybrid
        • vibration of a displaced beam
      • Buckling
        • buckling analysis of a cantilever beam
      • Contact
        • contact between beam and block
        • contact in 3d space
      • Optimization
        • evolutionary structural optimization
      • Isogeometric Analysis
        • linear analysis of a single element
    • Miscellaneous
      • batch execution for automation
  • Command Collection
    • Define
      • amplitude
      • bc
      • domain
      • element
      • expression
      • file
      • generate
      • group
      • import
      • initial
      • load
      • material
      • modifier
      • node
      • recorder
      • section
    • Configure
      • analyze
      • converger
      • criterion
      • integrator
      • precheck
      • step
    • Process
      • benchmark
      • clear
      • command
      • enable
      • exit
      • materialtest
      • materialtestbyload
      • sectiontest
      • peek
      • plot
      • protect
      • pwd
      • reset
      • save
      • set
      • upsampling
      • sdof_response
      • response_spectrum
  • Amplitude
    • Amplitude
    • Special
      • NZStrongMotion
    • Universal
      • Combine
      • Constant
      • Decay
      • Linear
      • Modulated
      • Tabular
      • TabularSpline
      • Trig
  • Constraint
    • MPC
    • ParticleCollision
    • RigidWall
    • RestitutionWall
    • FixedLength
    • MaxForce
    • NodeLine
    • NodeFacet
    • Embed2D
    • Embed3D
    • LJPotential2D
    • MaximumGap2D
    • MinimumGap2D
    • MaximumGap3D
    • MinimumGap3D
  • Converger
    • Converger
    • Absolute
      • AbsDisp
      • AbsError
      • AbsIncreDisp
      • AbsIncreAcc
      • AbsIncreEnergy
      • AbsResidual
    • Other
      • FixedNumber
      • Logic
    • Relative
      • RelDisp
      • RelError
      • RelIncreDisp
      • RelIncreAcc
      • RelIncreEnergy
      • RelResidual
  • Criterion
    • Criterion
    • MaxDisplacement
    • MaxHistory
    • MaxResistance
    • MinDisplacement
    • MinResistance
    • StrainEnergyEvolution
  • Element
    • Beam
      • B21
      • B21E
      • B21H
      • B31
      • B31OS
      • EB21
      • EB31OS
      • F21
      • F21H
      • F31
      • NMB21
      • NMB21E
      • NMB31
      • MVLEM
      • Orientation
    • Cube
      • C3D20
      • C3D4
      • C3D8
      • C3D8I
      • CIN3D8
      • DC3D4
      • DC3D8
    • Membrane
      • Couple Stress
      • Phase Field
        • DCP3
        • DCP4
      • Axisymmetric
        • CAX3
        • CAX4
        • CAX8
      • Plane
        • CP3
        • CP4
        • CP4I
        • CP5
        • CP6
        • CP7
        • CP8
      • Mixed
        • PS
        • QE2
      • Drilling
        • Allman
        • GCMQ
        • GQ12
      • Infinite
        • CINP4
      • Geotechnical
        • PCPE4DC
        • PCPE4UC
        • PCPE8DC
        • PCPE8UC
      • Membrane
    • Modifier
      • Modifier
      • ElementalLee
      • ElementalNonviscous
      • LinearViscosity
    • Patch
      • Patch
      • PatchCube
      • PatchQuad
    • Plate
      • DKT3
      • DKT4
      • Mindlin
    • Shell
      • DKTS3
      • DKTS4
      • S4
      • SGCMS
      • ShellBase
    • Special
      • Contact2D
      • Contact3D
      • Damper01
      • Damper02
      • Embedded2D
      • Embedded3D
      • Joint
      • Mass
      • SingleSection
      • Spring01
      • Spring02
      • Tie
      • TranslationConnector
    • Truss
      • T2D2
      • T2D2S
      • T3D2
      • T3D2S
  • Group
    • CustomNodeGroup
    • NodeGroup
    • ElementGroup
    • GroupGroup
  • Integrator
    • Implicit
      • Linear
      • BatheTwoStep
      • GeneralizedAlpha
      • OALTS
      • GSSSS
      • Newmark
        • LeeNewmark
        • LeeElementalNewmark
        • LeeNewmarkFull
        • LeeNewmarkIterative
        • Newmark
        • RayleighNewmark
        • WilsonPenzienNewmark
        • NonviscousNewmark
    • Explicit
      • Tchamwa
      • BatheExplicit
      • GeneralizedAlphaExplicit
  • Material
    • Guide
      • Metal
      • Customisation
    • Material1D
      • Concrete
        • ConcreteCM
        • ConcreteExp
        • ConcreteTsai
        • ConcreteTable
        • ConcreteK4
      • Degradation
        • Degradation
        • CustomStrainDegradation
        • CustomStressDegradation
        • Dhakal
        • TrilinearStrainDegradation
      • Elastic
        • BilinearElastic1D
        • Elastic1D
        • AsymmElastic1D
        • MultilinearElastic1D
        • PolyElastic1D
        • NLE1D01
        • Sinh1D
        • Tanh1D
        • CustomElastic1D
      • Hysteresis
        • AFC
        • AFCN
        • BilinearOO
        • BilinearPO
        • BoucWen
        • BWBN
        • Flag
        • MPF
        • MultilinearOO
        • MultilinearPO
        • RambergOsgood
        • SimpleHysteresis
        • SlipLock
        • SteelBRB
        • Trivial
        • Gap01
      • Viscosity
        • Kelvin
        • Maxwell
        • NonlinearViscosity
        • BilinearViscosity
        • CustomViscosity
        • Viscosity01
        • Viscosity02
        • CoulombFriction
        • Nonviscous01
      • vonMises
        • Subloading1D
        • ArmstrongFrederick1D
        • AFCO1D
        • Bilinear1D
        • BilinearMises1D
        • CustomGurson1D
        • CustomMises1D
        • ExpGurson1D
        • ExpMises1D
        • Mises1D
        • Multilinear1D
        • NonlinearGurson1D
        • VAFCRP1D
    • Material2D
      • AxisymmetricElastic
      • Concrete21
      • Concrete22
      • DuncanSelig
      • Elastic2D
      • Rebar2D
    • Material3D
      • CamClay
        • BilinearCC
        • ExpCC
        • NonlinearCamClay
        • ParabolicCC
      • Concrete
        • CDP
        • CDPM2
        • Rebar3D
        • TableCDP
        • CustomCDP
      • Damage
        • IsotropicDamage
        • LinearDamage
      • DruckerPrager
        • BilinearDP
        • ExpDP
        • CustomDP
        • NonlinearDruckerPrager
      • Elastic
        • BlatzKo
        • IsotropicElastic3D
        • IsotropicNonlinearElastic3D
        • MooneyRivlin
        • NLE3D01
        • OrthotropicElastic3D
        • Yeoh
      • Hoffman
        • BilinearHoffman
        • ExpHoffman
        • CustomHoffman
        • NonlinearHill
        • NonlinearHoffman
        • TimberPD
      • Sand
        • SimpleSand
        • DafalisaManzari
      • vonMises
        • ArmstrongFrederick
        • BilinearJ2
        • BilinearPeric
        • CustomGurson
        • TableGurson
        • CustomJ2
        • ExpGurson
        • ExpJ2
        • MultilinearJ2
        • NonlinearGurson
        • NonlinearJ2
        • NonlinearPeric
        • PolyJ2
        • VAFCRP
        • Subloading
    • MaterialOS
      • ElasticOS
    • Wrapper
      • Axisymmetric
      • Laminated
      • Parallel
      • PlaneStrain
      • PlaneSymmetric
      • PlaneStress
      • Rotation2D
      • Rotation3D
      • Sequential
      • Stacked
      • Uniaxial
      • OS146
      • OS146S
      • Substepping
  • Recorder
    • Recorder
    • OutputType
  • Section
    • Code
      • EU
      • NZ
      • US
    • Section1D
      • Circle1D
      • Fibre1D
      • Rectangle1D
      • TrussSection
    • Section2D
      • Bar2D
      • Box2D
      • Circle2D
      • CircularHollow2D
      • Fibre2D
      • HSection2D
      • ISection2D
      • Rectangle2D
      • TSection2D
    • Section3D
      • Bar3D
      • Box3D
      • Circle3D
      • CircularHollow3D
      • Fibre3D
      • ISection3D
      • Rectangle3D
      • TSection3D
    • SectionOS
      • Cell3DOS
      • Fibre3DOS
    • SectionNM
      • SectionNM
      • NM2D1
      • NM2D2
      • NM2D3
      • NM2D3K
      • NM3D1
      • NM3D2
      • NM3D3
      • NM3D3K
  • Solver
    • BFGS
    • MPDC
    • Newton
    • AICN
    • Ramm
  • Step
    • Overview
    • ArcLength
    • Buckle
    • Dynamic
    • Frequency
    • Optimization
    • Static
  • Developer
    • Prerequisites
    • C Style Interface
      • material
    • CPP Style Interface
      • material
      • element
      • constraint
Powered by GitBook
On this page
  • References
  • Syntax
  • Remarks
  • Usage
Edit on GitHub
  1. Material
  2. Material3D
  3. Elastic

MooneyRivlin

PreviousIsotropicNonlinearElastic3DNextNLE3D01

Last updated 9 months ago

Mooney-Rivlin Rubber Material

The regularized Mooney-Rivlin material for compressible rubbers uses the following expression to measure strain energy.

W=A10(J1−3)+A01(J2−3)+K2(J3−1)2,W=A_{10}(J_1-3)+A_{01}(J_2-3)+\dfrac{K}{2}(J_3-1)^2,W=A10​(J1​−3)+A01​(J2​−3)+2K​(J3​−1)2,

where A10A_{10}A10​ and A01A_{01}A01​ are two material constants and KKK is the bulk modulus.

References

  1. Chapter 3.5.2.1

Syntax

material MoonetRivlin (1) (2) (3) (4) [5]
# (1) int, unique tag
# (2) double, bulk modulus
# (3) double, A_{10}
# (4) double, A_{01}
# [5] double, density, default: 0.0

Remarks

  1. Nonlinear geometry switch shall be turned on in related elements.

  2. The model takes the Green strain as input. To implement any elements that incorporate this material model, the Green strain in Voigt notation shall be passed as strain input.

Usage

10.1007/978-1-4419-1746-1
example one