2.2. Material Model Combinations Using Multilinear Isotropic Hardening

Example 2.1: RATE and CHAB and MISO

Combining viscoplasticity and Chaboche nonlinear kinematic hardening plasticity and multilinear isotropic hardening plasticity:

MP,EX,1,185E3                     ! 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                ! THIS EXAMPLE ISOTHERMAL

TB,MISO,1                         ! MISO TABLE
TBPT,,9.7E-4,180
TBPT,,1.0,380

For information about the RATE option, see Rate-Dependent Viscoplastic Materials and Viscoplasticity Model.

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


Example 2.2: MISO and CHAB

Combining multilinear isotropic hardening (MISO) plasticity with Chaboche nonlinear kinematic hardening plasticity:

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

TB,CHAB,1                         ! CHABOCHE TABLE
TBDATA,1,180,100,3                ! THIS EXAMPLE ISOTHERMAL

TB,MISO,1                         ! MISO TABLE
TBPT,,9.7E-4,180
TBPT,,1.0,380

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


Example 2.3: MISO and EDP

Combining multilinear isotropic hardening with Extended Drucker-Prager plasticity:

/prep7
mp,ex,1,2.1e4			! Elastic Properties
mp,nuxy,1,0.1

ys=7.894657
sl=1000.0

tb,edp,1,,,LYFUN
tbdata,1,2.2526,ys

tb,edp,1,,,LFPOT
tbdata,1,0.566206

tb,miso,1,1,2
tbpt,defi,0.000375905,7.894
tbpt,defi,1.047994952,1007.894

For information about the EDP option, see Extended Drucker-Prager.


Example 2.4: GURSON and MISO

The TB,MISO command can be used to combine multilinear isotropic hardening with Gurson plasticity, as shown in the following example:

Young=1000000
sigma_Y=Young/300.0
yield=1.0d0/sigma_Y/3.1415926
! define elastic Properties
mp,ex,1,Young
mp,nuxy,1,0.3
! Define Gurson's coefficients
q1=1.5
q2=1
q3=q1*q1
f_0= 0.000000
f_N= 0.04
S_N=0.1
strain_N=0.3
Power_N=0.1
f_c=0.15
f_F=0.25
! Gurson Model   
tb,gurs,1,,5,BASE		! BASE DEFINED   
tbdata,1,sigma_Y,f_0,q1,q2,q3	
    
tb,gurs,1,,3,SNNU		! SNNU DEFINED   
tbdata,1,f_N,strain_N,S_N   


tb,gurs,1,,2,COAL		! COAL DEFINED   
tbdata,1,f_c,f_F 

tb,miso,,,6
tbpt,,0.003333333,  3333.333333
tbpt,,0.018982279,  3966.666667
tbpt,,0.103530872,  4700
tbpt,,0.562397597,  5566.666667
tbpt,,1.006031106,  5900
tbpt,,2.934546576,  6566.666667

For information about the GURSON option, see Gurson's Model.


Example 2.5: MISO and RATE

Combining multilinear isotropic hardening plasticity with TB,RATE to model viscoplasticity:

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

TB,MISO,1                        ! MISO TABLE
TBPT,,0.015,30000
TBPT,,0.020,32000
TBPT,,0.025,33800
TBPT,,0.030,35000
TBPT,,0.040,36500
TBPT,,0.050,38000
TBPT,,0.060,39000

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

For information about the RATE option, see Rate-Dependent Viscoplastic Materials and Viscoplasticity Model.


Example 2.6: MISO and CREEP

This input listing illustrates an example of combining multilinear isotropic hardening plasticity with implicit creep.

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

TB,MISO,1                        ! MISO TABLE
TBPT,,0.015,30000
TBPT,,0.020,32000
TBPT,,0.025,33800
TBPT,,0.030,35000
TBPT,,0.040,36500
TBPT,,0.050,38000
TBPT,,0.060,39000

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

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


Example 2.7: HILL and MISO

Combining anisotropic plasticity with multilinear isotropic hardening:

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

TB,MISO,1                        ! MISO TABLE
TBPT,,0.015,30000
TBPT,,0.020,32000
TBPT,,0.025,33800
TBPT,,0.030,35000
TBPT,,0.040,36500
TBPT,,0.050,38000
TBPT,,0.060,39000

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

Example 2.8: HILL and MISO and CHAB

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

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

TB,CHAB,1                           ! CHABOCHE TABLE
TBDATA,1,185,100,3

TB,MISO,1                           ! MISO TABLE
TBPT,,0.001,185
TBPT,,1.0,380

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

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


Example 2.9: HILL and RATE and MISO

This input listing illustrates an example of modeling anisotropic viscoplasticity with multilinear isotropic hardening plasticity.

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

TB,MISO,1                        ! MISO TABLE
TBPT,,0.015,30000
TBPT,,0.020,32000
TBPT,,0.025,33800
TBPT,,0.030,35000
TBPT,,0.040,36500
TBPT,,0.050,38000
TBPT,,0.060,39000

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

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

For information about the RATE option, see Rate-Dependent Viscoplastic Materials and Viscoplasticity Model.


Example 2.10: HILL and CREEP and MISO

Combining anisotropic implicit creep and multilinear isotropic hardening plasticity:

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

TB,MISO,1                        ! MISO TABLE
TBPT,,0.015,30000
TBPT,,0.020,32000
TBPT,,0.025,33800
TBPT,,0.030,35000
TBPT,,0.040,36500
TBPT,,0.050,38000
TBPT,,0.060,39000

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

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

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