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.