# Static Analysis (Hyperelasticity Part 1)

## Static Analysis (Hyperelasticity, Part 1)

This analysis uses the data of tutorial/03_hyperelastic_cylinder.

### Analysis target

The target of this analysis is a 1/8 model of a round bar whose shape and mesh data are shown in Figs. 4.3.1 and 4.3.2, respectively. The mesh is a hexahedral primary element with 432 elements and 629 nodes.

Fig. 4.3.1 : Shape of the round bar (1/8 model)

Fig. 4.3.2: Shape of the round bar (1/8 model)

### Analysis content

In this stress analysis, an axial tensile displacement is given to a round bar. The Mooneyâ€“Rivlin model was used in the material constitutive equation of hyperelasticity. The analysis control data are presented below.

# Control File for FISTR
## Analysis Control
!VERSION
3
!SOLUTION, TYPE=NLSTATIC
!WRITE,RESULT
!WRITE,VISUAL
## Solver Control
### Boundary Conditon
!BOUNDARY, GRPID=1
FIX, 3, 3, 0.0
XSYMM, 1, 1, 0.0
YSYMM, 2, 2, 0.0
### STEP
!STEP, SUBSTEPS=5, CONVERG=1.0e-5
BOUNDARY, 1
### Material
!MATERIAL, NAME=MAT1
!HYPERELASTIC, TYPE=MOONEY-RIVLIN
0.1486, 0.4849, 0.0789
### Solver Setting
!SOLVER,METHOD=CG,PRECOND=1,ITERLOG=YES,TIMELOG=YES
10000, 2
1.0e-8, 1.0, 0.0


### Analysis results

The analysis results of the fifth sub-step are shown in Fig. 4.3.3 as a deformation diagram with a Mises stress contour created with REVOCAP_PrePost. Furthermore, a part of the log files of the analysis results is shown below as numerical data of the analysis.

Fig. 4.3.3: Analysis results of deformation and Mises stress

#### Result step=     5
##### Local Summary @Node    :Max/IdMax/Min/IdMin####
//U1    0.0000E+00         1 -6.7545E-01         7
//U2    0.0000E+00         1 -6.7545E-01        13
//U3    0.0000E+00         1 -7.0000E+00        38
//E11  -9.6951E-02        38 -1.0235E-01         7
//E22  -9.6951E-02        50 -1.0235E-01        13
//E33   3.0654E-01        13  2.8765E-01        50
//E12   6.9286E-04        53 -7.0533E-04        10
//E23   5.2256E-08        39 -3.2649E-03        86
//E31   5.2256E-08        49 -3.2649E-03        93
//S11   6.0251E-03        38 -6.6494E-03         7
//S22   6.0251E-03        50 -6.6495E-03        13
//S33   5.3529E-01        35  5.2006E-01        72
//S12   1.5458E-03        53 -1.6315E-03        10
//S23   1.5325E-07        38 -2.1554E-03        86
//S31   1.5325E-07        50 -2.1554E-03        93
//SMS   5.3730E-01        10  5.1836E-01        53