3.3. Material Model Combinations Using Bilinear Isotropic Hardening

3.3.1. BISO and CHAB Example

Combining bilinear isotropic hardening plasticity with Chaboche nonlinear kinematic hardening plasticity:

MP,EX,1,185.0E3                   ! ELASTIC CONSTANTS
MP,NUXY,1,0.3


TB,CHAB,1                         ! CHABOCHE TABLE
TBDATA,1,180,100,3

TB,BISO,1                         ! BISO TABLE
TBDATA,1,180,200

For information about the BISO option, see Bilinear Isotropic Hardening.

For information about the CHAB option, see Nonlinear Kinematic Hardening.

3.3.2. GURSON and BISO Example

Combining bilinear isotropic hardening with Gurson plasticity:

q1=1.5
q2=1
q3=q1*q1
sigma_Y=E/300.0

f_0= 0.04
f_N= 0.04
S_N=0.1
strain_N=0.3
Power_N=0.1

tb,GURS,1,,5,BASE              ! Gurson's BASE model
tbdata,1,sigma_Y,f_0,q1,q2,q3

tb,GURS,1,,3,SNNU              ! Gurson's SNNU model
tbdata,1,f_N,strain_N,S_N

TB,BISO,1                      ! BISO TABLE
TBDATA,1, sigma_Y, Power_N     ! Isotropic hardening yield stress definition overrides

For information about the BISO option, see Bilinear Isotropic Hardening.

For information about the GURSON option, see Gurson.

3.3.3. GURSON and CHAB and BISO Example

Combining Gurson plasticity with Chaboche nonlinear kinematic hardening plasticity and bilinear isotropic hardening:

! Gurson coefficients
Q1=1.5e-16                   ! FIRST TVERGAARD CONSTANT
Q2=1                         ! SECOND TVERGAARD CONSTANT
Q3=Q1*Q1                     ! THIRD TVERGAARD CONSTANT
F_0=0.04                     ! INITIAL POROSITY
F_N=0.005e-12                ! VOL. FRAC. OF VOID NUCL. PARTICLES
S_N=0.05                     ! STAND. DEV. OF MEAN STRN FOR NUCLEA.
STRAIN_N=0.1e2               ! MEAN STRAIN FOR NUCLEATIONS

TB,GURS,1,,5,BASE              ! BASE DEFINED
TBDATA,1,320.,F_0,Q1,Q2,Q3

TB,GURS,1,,3,SNNU              ! SNNU DEFINED
TBDATA,1,F_N,STRAIN_N,S_N

! Chaboche kinematic hardening
TB,CHABOCHE,1,,2
TBDATA,1,320.,150000.,300.,1500.,0.1

! Bilinear isotropic hardening
TB,BISO,1
TBDATA,1,320.,0.1

For information about the GURSON option, see Gurson.

For information about the CHAB option, see Nonlinear Kinematic Hardening.

For information about the BISO option, see Bilinear Isotropic Hardening.

3.3.4. RATE and BISO Example

Combining bilinear isotropic hardening plasticity with rate-dependent plasticity (viscoplasticity):

MP,EX,1,20.0E5                   ! ELASTIC CONSTANTS
MP,NUXY,1,0.3

TB,BISO,1                        ! BISO TABLE
TBDATA,1,9000,10000

TB,RATE,1,,,PERZYNA              ! RATE TABLE
TBDATA,1,0.5,1

For information about the BISO option, see Bilinear Isotropic Hardening.

For information about the RATE option, see Rate-Dependent Plasticity (Viscoplasticity).

3.3.5. BISO and CREEP Example

Combining bilinear isotropic hardening plasticity with implicit creep:

MP,EX,1,20.0E5                   ! ELASTIC CONSTANTS
MP,NUXY,1,0.3

TB,BISO,1                        ! BISO TABLE
TBDATA,1,9000,10000

TB,CREEP,1,,,2                   ! CREEP TABLE
TBDATA,1,1.5625E-14,5.0,-0.5,0.0

For information about the BISO option, see Bilinear Isotropic Hardening.

For information about the CREEP option, see Implicit Creep Equations.

3.3.6. HILL and BISO Example

Combining anisotropic plasticity with bilinear isotropic hardening.

MP,EX,1,20.0E5                        ! ELASTIC CONSTANTS
MP,NUXY,1,0.3

TB,HILL,1,2                           ! HILL TABLE
TBTEMP,100
TBDATA,1,1,1.0402,1.24897,1.07895,1,1
TBTEMP,200
TBDATA,1,0.9,0.94,1.124,0.97,0.9,0.9

TB,BISO,1,2                           ! BISO TABLE
TBTEMP,100
TBDATA,1,461.0,374.586
TBTEMP,200
TBDATA,1,400.0,325.0

For information about the HILL option, see Hill Yield Criterion.

For information about the BISO option, see Bilinear Isotropic Hardening.

3.3.7. HILL and BISO and CHAB Example

Combining anisotropic plasticity with bilinear isotropic hardening and Chaboche nonlinear kinematic hardening:

MP,EX,1,185E3                       ! ELASTIC CONSTANTS
MP,NUXY,1,0.3

TB,CHAB,1                           ! CHABOCHE TABLE
TBDATA,1,180,100,3

TB,BISO,1                           ! BISO TABLE
TBDATA,1,180,200

TB,HILL,1                           ! HILL TABLE
TBDATA,1,1.0,1.1,0.9,0.85,0.9,0.80

For information about the HILL option, see Hill Yield Criterion.

For information about the BISO option, see Bilinear Isotropic Hardening.

For information about the CHAB option, see Nonlinear Kinematic Hardening.

3.3.8. HILL and RATE and BISO Example

Combining anisotropic viscoplasticity with bilinear isotropic hardening plasticity:

MPTEMP,1,20,400,650,800,950      ! ELASTIC CONSTANTS
!
MPDATA,EX,1,1,30.00E6,27.36E6,25.20E6,23.11E6,20.76E6
!
MPDATA,EY,1,1,30.00E6,27.36E6,25.20E6,23.11E6,20.76E6
!
MPDATA,EZ,1,1,30.00E6,27.36E6,25.20E6,23.11E6,20.76E6
!
MPDATA,PRXY,1,1,0.351,0.359,0.368,0.375,0.377 
!
MPDATA,PRYZ,1,1,0.351,0.359,0.368,0.375,0.377
!
MPDATA,PRXZ,1,1,0.351,0.359,0.368,0.375,0.377
!
MPDATA,GXY,1,1,1.190E4,1.160E4,1.110E4,1.080E4,1.060E4
!             
MPDATA,GYZ,1,1,1.190E4,1.160E4,1.110E4,1.080E4,1.060E4
!                                                                     
MPDATA,GXZ,1,1,1.190E4,1.160E4,1.110E4,1.080E4,1.060E4


TB,BISO,1,                       ! BISO TABLE
TBDATA,1,45000,760000


TB,RATE,1,2,,PERZYNA             ! RATE TABLE
TBTEMP,20
TBDATA,1,0.1,0.3
TBTEMP,950
TBDATA,1,0.3,0.5


TB,HILL,1,5                      ! HILL TABLE
TBTEMP,750.0
TBDATA,1,1.0,1.0,1.0,0.93,0.93,0.93
TBTEMP,800.0                             
TBDATA,1,1.0,1.0,1.0,0.93,0.93,0.93
TBTEMP,850.0                             
TBDATA,1,1.0,1.0,1.0,0.93,0.93,0.93
TBTEMP,900.0                             
TBDATA,1,1.0,1.0,1.0,1.00,1.00,1.00
TBTEMP,950.0                             
TBDATA,1,1.0,1.0,1.0,1.00,1.00,1.00

For information about the HILL option, see Hill Yield Criterion.

For information about the RATE option, see Rate-Dependent Plasticity (Viscoplasticity).

For information about the BISO option, see Bilinear Isotropic Hardening.

3.3.9. HILL, CREEP and BISO Example

Combining anisotropic implicit creep with bilinear isotropic hardening plasticity:

MPTEMP,1,20,200,400,550,600,650            ! ELASTIC CONSTANTS
MPTEMP,,700,750,800,850,900,950
!
MPDATA,EX,1,1,1.250E4,1.210E4,1.140E4,1.090E4,1.070E4,1.050E4 
MPDATA,EX,1,,1.020E4,0.995E4,0.963E4,0.932E4,0.890E4,0.865E4 
!
MPDATA,EY,1,1,1.250E4,1.210E4,1.140E4,1.090E4,1.070E4,1.050E4 
MPDATA,EY,1,,1.020E4,0.995E4,0.963E4,0.932E4,0.890E4,0.865E4 
!
MPDATA,EZ,1,1,1.250E4,1.210E4,1.140E4,1.090E4,1.070E4,1.050E4
MPDATA,EZ,1,,1.020E4,0.995E4,0.963E4,0.932E4,0.890E4,0.865E4
!
MPDATA,PRXY,1,1,0.351,0.359,0.368,0.375,0.377,0.380 
MPDATA,PRXY,1,,0.382,0.384,0.386,0.389,0.391,0.393
!
MPDATA,PRYZ,1,1,0.351,0.359,0.368,0.375,0.377,0.380 
MPDATA,PRYZ,1,,0.382,0.384,0.386,0.389,0.391,0.393
!
MPDATA,PRXZ,1,1,0.351,0.359,0.368,0.375,0.377,0.380
MPDATA,PRXZ,1,,0.382,0.384,0.386,0.389,0.391,0.393
!
MPDATA,GXY,1,1,1.190E4,1.160E4,1.110E4,1.080E4,1.060E4,1.040E4
MPDATA,GXY,1,,1.020E4,1.000E4,0.973E4,0.946E4,0.908E4,0.887E4
!	      
MPDATA,GYZ,1,1,1.190E4,1.160E4,1.110E4,1.080E4,1.060E4,1.040E4
MPDATA,GYZ,1,,1.020E4,1.000E4,0.973E4,0.946E4,0.908E4,0.887E4
!								      
MPDATA,GXZ,1,1,1.190E4,1.160E4,1.110E4,1.080E4,1.060E4,1.040E4
MPDATA,GXZ,1,,1.020E4,1.000E4,0.973E4,0.946E4,0.908E4,0.887E4


TB,BISO,1                                ! BISO TABLE
TBDATA,1,180,200


TB,CREEP,1,,,2                           ! CREEP TABLE
TBDATA,1,5.911E-34,6.25,-0.25


TB,HILL,1,5                              ! HILL TABLE
TBTEMP,750.0
TBDATA,1,1.0,1.0,1.0,0.93,0.93,0.93
TBTEMP,800.0				 
TBDATA,1,1.0,1.0,1.0,0.93,0.93,0.93
TBTEMP,850.0				 
TBDATA,1,1.0,1.0,1.0,0.93,0.93,0.93
TBTEMP,900.0				 
TBDATA,1,1.0,1.0,1.0,1.00,1.00,1.00
TBTEMP,950.0				 
TBDATA,1,1.0,1.0,1.0,1.00,1.00,1.00

For information about the HILL option, see Hill Yield Criterion.

For information about the CREEP option, see Implicit Creep Equations.

For information about the BISO option, see Bilinear Isotropic Hardening.

3.3.10. RATE and CHAB and BISO Example

Combining rate-dependent plasticity (viscoplasticity), Chaboche nonlinear kinematic hardening plasticity, and bilinear isotropic hardening plasticity:

MP,EX,1,185.0E3     ! ELASTIC CONSTANTS
MP,NUXY,1,0.3

TB,RATE,1,,,PERZYNA              ! RATE TABLE
TBDATA,1,0.5,1 

TB,CHAB,1                        ! CHABOCHE TABLE
TBDATA,1,180,100,3

TB,BISO,1                        ! BISO TABLE
TBDATA,1,180,200

For information about the RATE option, see Rate-Dependent Plasticity (Viscoplasticity).

For information about the BISO option, see Bilinear Isotropic Hardening.

For information about the CHAB option, see Nonlinear Kinematic Hardening.