Solid Mechanics Material Properties: Nonlinear Structural Materials Module
These material property groups for material models in solid mechanics using the Nonlinear Structural Materials Module (including their associated physical properties) can be added to models from the
Material
window.
Table 9-22:
Hyperelastic and Elastoplastic Material Properties.
Property Group and Property
Name/Variable
SI Unit
Elastoplastic material
Hardening function
sigmagh
Pa
Hill’s coefficients
Hillcoefficients
(m
2
·s
4
)/kg
2
Initial tensile and shear yield stresses
ys
N/m
2
Initial yield stress
sigmags
Pa
Isotropic tangent modulus
Et
Pa
Kinematic tangent modulus
Ek
Pa
Armstrong–Frederick
Kinematic hardening modulus
Ck
Pa
Kinematic hardening parameter
gammak
1
Chaboche
Kinematic hardening modulus
Ck0_cha
Pa
Ludwik
Strength coefficient
k_lud
Pa
Hardening exponent
n_lud
1
Swift
Reference strain
e0_swi
1
Hardening exponent
n_swi
1
Voce
Saturation flow stress
sigma_voc
Pa
Saturation exponent
beta_voc
1
Hockett–Sherby
Steady-state flow stress
sigma_hoc
Pa
Saturation coefficient
m_hoc
1
Saturation exponent
n_hoc
1
Creep
Norton
Creep rate coefficient
A_nor
1/s
Reference stress
sigRef_nor
Pa
Stress exponent
n_nor
1
Garofalo (hyperbolic sine)
Creep rate coefficient
A_gar
1/s
Reference stress
sigRef_gar
Pa
Stress exponent
n_gar
1
Nabarro–Herring
Volume diffusivity
D_nav
m
2
/s
Burgers vector
b_nav
m
Grain diameter
dg_nav
m
Coble
Ionic diffusivity
D_cob
m
2
/s
Burgers vector
b_cob
m
Grain diameter
dg_cob
m
Weertman
Diffusivity
D_wee
m
2
/s
Burgers vector
b_wee
m
Stress exponent
n_wee
1
Reference stress
sigRef_wee
Pa
Viscoplastic Material
Anand
Viscoplastic rate coefficient
A_ana
1/s
Activation energy
Q_ana
J/mol
Multiplier of stress
xi_ana
1
Stress sensitivity
m_ana
1
Deformation resistance saturation coefficient
s0_ana
Pa
Deformation resistance initial value
sa_init
Pa
Hardening constant
h0_ana
Pa
Hardening sensitivity
a_ana
1
Deformation resistance sensitivity
n_ana
1
Chaboche
Viscoplastic rate coefficient
A_cha
1/s
Reference stress
sigRef_cha
Pa
Stress exponent
n_cha
1
Prezyna
Viscoplastic rate coefficient
A_per
1/s
Reference stress
sigRef_per
Pa
Poroplastic material
Initial yield stress
sigmags
Pa
Shima–Oyane alpha parameter
alphaShima
1
Shima–Oyane gamma parameter
gammaShima
1
Shima–Oyane m parameter
mShima
1
Initial void volume fraction
f0
1
Critical void volume fraction
fc
1
Failure void volume fraction
ff
1
Tvergaard correction coefficient q1
q1GTN
1
Tvergaard correction coefficient q2
q2GTN
1
Tvergaard correction coefficient q3
q3GTN
1
Maximum void volume fraction
fmax
1
Nonlinear elastic material
Reference stress
sigRef
Pa
Reference strain
eRef
1
Stress exponent
n_stress
1
Reference shear strain
gammaRef
1
Strain exponent
n_strain
1
Bulk modulus in tension
Kt
Pa
Bulk modulus in compression
Kc
Pa
Ultimate deviatoric stress
q_ult
Pa
Ultimate strain
e_ult
1
Elastoplastic soil material
Cam-Clay
Swelling index
kappaSwelling
1
Compression index
lambdaComp
1
Void ratio at reference pressure
evoidref
1
Slope of critical state line
M
1
Structured Cam-Clay
Swelling index for structured clay
kappaSwellingS
1
Compression index for destructured clay
lambdaCompS
1
Void ratio at reference pressure for destructured clay
evoidrefS
1
Destructuring index for volumetric deformation
dvS
1
Destructuring index for shear deformation
dsS
1
Slope of critical state line
M
1
Additional void ratio at initial yielding
Deltaei
1
Initial structure strength
pbi
Pa
Plastic potential shape parameter
zetaS
1
Critical effective deviatoric plastic strain
epdevc
1
Barcelona Basic
Swelling index
kappaSwelling
1
Swelling index for changes in suction
kappaSwellings
1
Compression index at saturation
lambdaComp0
1
Weight parameter
wB
1
Soil stiffness parameter
mB
Pa
Plastic potential smoothing parameter
bB
1
Tension to suction ratio
kB
1
Void ratio at reference pressure and saturation
evoidref0
1
Initial yield value for suction
sy0
Pa
Hardening soil
Reference stiffness for primary loading
E50Ref
Pa
Reference stiffness for unloading and reloading
EurRef
Pa
Stress exponent
mH
1
Bulk modulus in compression
Kc
Pa
Void ratio at reference pressure
evoidref
1
Hyperelastic Materials
Arruda–Boyce
Macroscopic shear modulus
mu0
N/m
2
Number of segments
Nseg
1
Blatz–Ko
Model parameters
phiBK
1
Model parameters
betaBK
1
Shear modulus
muBK
Pa
Gao
Model parameters
aG
Pa
Model parameters
nG
1
Gent
Macroscopic shear modulus
muG
Pa
Model parameters
jmG
1
Mooney–Rivlin
Model parameters
C01, C02, C03, C10, C11, C12, C20, C21, C30
Pa
Murnaghan
The Murnaghan node adds five model parameters. The model is based on strain invariants and is typically used in acoustoelasticity.
Murnaghan third-order elastic moduli
l
Pa
Murnaghan third-order elastic moduli
m
Pa
Murnaghan third-order elastic moduli
n
Pa
Lamé parameter
λ
lambLame
Pa
Lamé parameter
μ
muLame
Pa
Varga
Model parameters
c1VA
Pa
Model parameters
c2VA
Pa
Yeoh
Model parameters
c1YE
Pa
Model parameters
c2YE
Pa
Model parameters
c3YE
Pa