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Finite Element Analysis in Structural Mechanics

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en:example:nlin:6:2

Mooney–Rivlin material model, BEAM56H2

Problem

Mesh

element type nodes
1 56 1 2 3 4 5 6 7 8 21 22 23 24 25 26 27 28 29 30 31 32
2 56 5 6 7 8 9 10 11 12 29 30 31 32 33 34 35 36 37 38 39 40
3 56 9 10 11 12 13 14 15 16 37 38 39 40 41 42 43 44 45 46 47 48
4 56 13 45 15 16 17 18 19 20 45 46 47 48 49 50 51 52 53 54 55 56 

Boundary conditions

$u=0$ at all nodes in the $yz$ plane
$v=0$ at all nodes in the $zx$ plane
$w=0$ at all nodes in the $xy$ plane

Computation

The Mooney–Rivlin material model for compressible hyperelastic materials is defined by the strain energy function $$\psi=\psi_v+\psi_d,\quad \psi_v=\frac{1}{2}\kappa(J-1)^2,\quad \psi_d=C_1(\bar I_1-3)+C_2(\bar I_2-3),$$ where $C_1,$ $C_2$ are material parameters of the Mooney–Rivlin material model and $\kappa$ is bulk modulus. $J=\det\mathbf{F}$ is the determinant of the deformation gradient $\mathbf{F}.$ $$\begin{array}{lll} \bar I_1=J^{-2/3}I_1, & I_1=C_{11}+C_{22}+C_{33}, \\ \bar I_2=J^{-4/3}I_2, & I_2=\det\left(\begin{array}{ll}C_{11}&C_{12}\\C_{21}&C_{22}\end{array}\right)+\det\left(\begin{array}{ll}C_{11}&C_{13}\\C_{31}&C_{33}\end{array}\right)+\det\left(\begin{array}{ll}C_{22}&C_{23}\\C_{32}&C_{33}\end{array}\right)\end{array}$$ are the first and the second invariants of the modified Cauchy-Green deformation tensor $\mathbf{\bar C}=J^{−2/3}\mathbf{C}$ with $\mathbf{C=F}^\mathrm{T}\mathbf{F}.$

Even if the material model contains only parameters $C_1,$ $C_2$ and $\kappa,$ it is convenient to define the shear modulus as $\mu=2C_1$ and then establish the tangent modulus of elasticity in the non-deformed state and the Poisson ratio as $$E=\frac{9\kappa\mu}{3\kappa+\mu},\quad \nu=\frac{3\kappa-2\mu}{2(3\kappa+\mu)}.$$ In our example we have $\mu=330{,}078\text{ Pa},$ $E=989{,}146\text{ Pa}$ and $\nu=0.49789.$ The second Piola-Kirchhoff stress tensor corresponding to the strain energy function given above is $$\mathbf{S=S}_v+\mathbf{S}_d,\quad \mathbf{S}_v=\kappa J(J-1)\mathbf{C}^{-1},$$ $$\mathbf{S}_d=J^{-2/3}\left[\gamma_1\mathbf{I}+J^{-2/3}\gamma_2\mathbf{C}-\frac{1}{3}\left(\gamma_1I_1+\gamma_2J^{-2/3}\mathrm{tr}(\mathbf{C}^2)\right)\mathbf{C^{-1}}\right],$$ with $$\gamma_1=2\left(C_1+J^{-2/3}I_1C_2\right),\quad \gamma_2=-2C_2$$ It can be proved that for given load $l_x=0.4\text{ MPa}$ and given material parameters $C_1=165{,}391\text{ Pa},$ $C_2=46{,}211\text{ Pa},$ $\kappa=10^8\text{ Pa},$ the following principal stretches and displacements fit the above written equations $$\begin{array}{lll} \lambda_x=1.4785 & & u_x=0.4785\text{ m} \\ \lambda_y=0.8232 & & u_y=-0.003535\text{ m} \\ \lambda_z=0.8232 & & u_z=-0.001768\text{ m} \end{array}$$ The second Piola-Kirchoff stress in the bar is $S_x=0.2705\text{ MPa}.$

The computation is executed with the following commands:

beam56h2.bat
rmd3 beam56h2.i1
rpd3 beam56h2.i2
srh3 beam56h2.i3
fefs beam56h2.i4
hpp3 beam56h2.iP
hpls beam56h2.iL
str3 beam56h2.i5

Input

beam56h2.i1
;  NELEM NNOD ITED
IP   4    56   56
;  CRIT SCALE
RP 1.01   1
XY N 1:20 X 4*0 4*0.25 4*0.5 4*0.75 4*1
          Y 5*(0 0.02 0.02 0)
          Z 5*(0 0 0.01 0.01)
EL E 1:4 N =A 1:8 =A =B 21:32 =B
           =4A =8B =8A =16B =12A =24B
EN
EN
beam56h2.i2
;  KREST
IP   1
IV 1 T 7 V 0
             ; E          α ν             C2
MP 1 T 1 I 1 V 989146.056 0 0.4983514 7*0 46210.9375
SV 1 T 9 V 4e5 0 0 0 0

AS 1 /M 1
  /B 0 C 1 N 1:4 21:24
  /B 0 C 3 N  1  2  5  6  9 10 13 14 17 18 21 29
             37 45 53 25 26 33 34 41 42 49 50
  /B 0 C 2 N  1  4  5  8  9 12 13 16 17 20 24 32
             40 48 56 25 28 33 36 41 44 49 52

AS 2
  /S 1 E 4 S6

EN
EN
beam56h2.i3
;  KREST
IP   1
EN
EN
beam56h2.i4
;  KREST
IP   1
EN
EN
beam56h2.iP
;  KREST NLC NCYC KMOD KCRP KLARG ...
IP   1    1    0    0    0    5   4*0
;  load case sequence
   2
EN
EN
beam56h2.iL
;  KMET KOUT NSUBI NITER NINT KTPR
IP   0    1    50  10000   0    0
;  UTOL RTOL XTOL PENAL
RP   0  1e-4 1e-4   0
EN
EN
beam56h2.i5
;  KLC 0 KOUT ILC  ...  KPROB KGRAF
IP  1  0   1   0   6*0    2     2
EN
EN

Output

beam56h2.o5
;  KLC 0 KOUT ILC  ...  KPROB KGRAF                                             
IP  1  0   1   0   6*0    2     2                                               
EN                                                                              
EN                                                                              
                                                      1TH LOAD CASE

                                                    DISPLACEMENTS
           NODE             U                V                W             ALPHA            BETA             GAMMA
                           [m]              [m]              [m]           [rad]            [rad]            [rad]

              1       0.0000000E+00    0.0000000E+00    0.0000000E+00
              2       0.0000000E+00   -0.3535488E-02    0.0000000E+00
              3       0.0000000E+00   -0.3535488E-02   -0.1767744E-02
              4       0.0000000E+00    0.0000000E+00   -0.1767744E-02
              5       0.1196204E+00    0.0000000E+00    0.0000000E+00
              6       0.1196204E+00   -0.3535488E-02    0.0000000E+00
              7       0.1196204E+00   -0.3535488E-02   -0.1767744E-02
              8       0.1196204E+00    0.0000000E+00   -0.1767744E-02
              9       0.2392407E+00    0.0000000E+00    0.0000000E+00
             10       0.2392407E+00   -0.3535487E-02    0.0000000E+00
             11       0.2392407E+00   -0.3535487E-02   -0.1767744E-02
             12       0.2392407E+00    0.0000000E+00   -0.1767744E-02
             13       0.3588611E+00    0.0000000E+00    0.0000000E+00
             14       0.3588611E+00   -0.3535489E-02    0.0000000E+00
             15       0.3588611E+00   -0.3535489E-02   -0.1767745E-02
             16       0.3588611E+00    0.0000000E+00   -0.1767745E-02
             17       0.4784815E+00    0.0000000E+00    0.0000000E+00
             18       0.4784815E+00   -0.3535487E-02    0.0000000E+00
             19       0.4784815E+00   -0.3535487E-02   -0.1767744E-02
             20       0.4784815E+00    0.0000000E+00   -0.1767744E-02
             21       0.0000000E+00   -0.1767744E-02    0.0000000E+00
             22       0.0000000E+00   -0.3535488E-02   -0.8838719E-03
             23       0.0000000E+00   -0.1767744E-02   -0.1767744E-02
             24       0.0000000E+00    0.0000000E+00   -0.8838719E-03
             25       0.5981018E-01    0.0000000E+00    0.0000000E+00
             26       0.5981018E-01   -0.3535488E-02    0.0000000E+00
             27       0.5981018E-01   -0.3535488E-02   -0.1767744E-02
             28       0.5981018E-01    0.0000000E+00   -0.1767744E-02
             29       0.1196204E+00   -0.1767744E-02    0.0000000E+00
             30       0.1196204E+00   -0.3535488E-02   -0.8838720E-03
             31       0.1196204E+00   -0.1767744E-02   -0.1767744E-02
             32       0.1196204E+00    0.0000000E+00   -0.8838720E-03
             33       0.1794305E+00    0.0000000E+00    0.0000000E+00
             34       0.1794305E+00   -0.3535488E-02    0.0000000E+00
             35       0.1794305E+00   -0.3535488E-02   -0.1767744E-02
             36       0.1794305E+00    0.0000000E+00   -0.1767744E-02
             37       0.2392407E+00   -0.1767744E-02    0.0000000E+00
             38       0.2392407E+00   -0.3535487E-02   -0.8838719E-03
             39       0.2392407E+00   -0.1767744E-02   -0.1767744E-02
             40       0.2392407E+00    0.0000000E+00   -0.8838719E-03
             41       0.2990509E+00    0.0000000E+00    0.0000000E+00
             42       0.2990509E+00   -0.3535488E-02    0.0000000E+00
             43       0.2990509E+00   -0.3535488E-02   -0.1767744E-02
             44       0.2990509E+00    0.0000000E+00   -0.1767744E-02
             45       0.3588611E+00   -0.1767745E-02    0.0000000E+00
             46       0.3588611E+00   -0.3535489E-02   -0.8838723E-03
             47       0.3588611E+00   -0.1767745E-02   -0.1767745E-02
             48       0.3588611E+00    0.0000000E+00   -0.8838723E-03
             49       0.4186713E+00    0.0000000E+00    0.0000000E+00
             50       0.4186713E+00   -0.3535488E-02    0.0000000E+00
             51       0.4186713E+00   -0.3535488E-02   -0.1767744E-02
             52       0.4186713E+00    0.0000000E+00   -0.1767744E-02
             53       0.4784815E+00   -0.1767744E-02    0.0000000E+00
             54       0.4784815E+00   -0.3535487E-02   -0.8838719E-03

                                                    DISPLACEMENTS
           NODE             U                V                W             ALPHA            BETA             GAMMA
                           [m]              [m]              [m]           [rad]            [rad]            [rad]

             55       0.4784815E+00   -0.1767744E-02   -0.1767744E-02
             56       0.4784815E+00    0.0000000E+00   -0.8838719E-03




                                                   STRESSES AT GAUSSPOINTS



   IE   IGP     XG          YG          ZG       SIG-X   SIG-Y   SIG-Z  SIG-XY  SIG-YZ  SIG-XZ  SIG-HMH     EPSP     DMG
               [m]         [m]         [m]       [MPa]   [MPa]   [MPa]   [MPa]   [MPa]   [MPa]    [MPa]      [-]     [%]

    1
         1  0.2818E-01  0.2254E-02  0.1127E-02     0.3     0.0     0.0     0.0    -0.0     0.0      0.3  0.000E+00  0.00
         2  0.2818E-01  0.1000E-01  0.1127E-02     0.3    -0.0    -0.0     0.0     0.0     0.0      0.3  0.000E+00  0.00
         3  0.2818E-01  0.1775E-01  0.1127E-02     0.3    -0.0    -0.0     0.0     0.0     0.0      0.3  0.000E+00  0.00
         4  0.1250E+00  0.2254E-02  0.1127E-02     0.3     0.0     0.0     0.0     0.0     0.0      0.3  0.000E+00  0.00
         5  0.1250E+00  0.1000E-01  0.1127E-02     0.3     0.0     0.0     0.0    -0.0     0.0      0.3  0.000E+00  0.00
         6  0.1250E+00  0.1775E-01  0.1127E-02     0.3     0.0     0.0     0.0    -0.0     0.0      0.3  0.000E+00  0.00
         7  0.2218E+00  0.2254E-02  0.1127E-02     0.3    -0.0    -0.0     0.0    -0.0     0.0      0.3  0.000E+00  0.00
         8  0.2218E+00  0.1000E-01  0.1127E-02     0.3    -0.0    -0.0     0.0    -0.0     0.0      0.3  0.000E+00  0.00
         9  0.2218E+00  0.1775E-01  0.1127E-02     0.3     0.0     0.0     0.0    -0.0     0.0      0.3  0.000E+00  0.00
        10  0.2818E-01  0.2254E-02  0.5000E-02     0.3     0.0     0.0     0.0    -0.0     0.0      0.3  0.000E+00  0.00
        11  0.2818E-01  0.1000E-01  0.5000E-02     0.3    -0.0    -0.0     0.0    -0.0     0.0      0.3  0.000E+00  0.00
        12  0.2818E-01  0.1775E-01  0.5000E-02     0.3    -0.0    -0.0     0.0     0.0     0.0      0.3  0.000E+00  0.00
        13  0.1250E+00  0.2254E-02  0.5000E-02     0.3     0.0     0.0     0.0     0.0     0.0      0.3  0.000E+00  0.00
        14  0.1250E+00  0.1000E-01  0.5000E-02     0.3     0.0     0.0     0.0     0.0     0.0      0.3  0.000E+00  0.00
        15  0.1250E+00  0.1775E-01  0.5000E-02     0.3     0.0     0.0     0.0    -0.0     0.0      0.3  0.000E+00  0.00
        16  0.2218E+00  0.2254E-02  0.5000E-02     0.3    -0.0    -0.0     0.0     0.0     0.0      0.3  0.000E+00  0.00
        17  0.2218E+00  0.1000E-01  0.5000E-02     0.3    -0.0    -0.0     0.0    -0.0     0.0      0.3  0.000E+00  0.00
        18  0.2218E+00  0.1775E-01  0.5000E-02     0.3     0.0     0.0     0.0    -0.0     0.0      0.3  0.000E+00  0.00
        19  0.2818E-01  0.2254E-02  0.8873E-02     0.3     0.0     0.0     0.0    -0.0     0.0      0.3  0.000E+00  0.00
        20  0.2818E-01  0.1000E-01  0.8873E-02     0.3    -0.0    -0.0     0.0    -0.0     0.0      0.3  0.000E+00  0.00
        21  0.2818E-01  0.1775E-01  0.8873E-02     0.3    -0.0    -0.0     0.0    -0.0     0.0      0.3  0.000E+00  0.00
        22  0.1250E+00  0.2254E-02  0.8873E-02     0.3     0.0     0.0     0.0     0.0     0.0      0.3  0.000E+00  0.00
        23  0.1250E+00  0.1000E-01  0.8873E-02     0.3     0.0     0.0     0.0     0.0     0.0      0.3  0.000E+00  0.00
        24  0.1250E+00  0.1775E-01  0.8873E-02     0.3     0.0     0.0     0.0     0.0     0.0      0.3  0.000E+00  0.00
        25  0.2218E+00  0.2254E-02  0.8873E-02     0.3    -0.0    -0.0     0.0     0.0     0.0      0.3  0.000E+00  0.00
        26  0.2218E+00  0.1000E-01  0.8873E-02     0.3    -0.0    -0.0     0.0     0.0     0.0      0.3  0.000E+00  0.00
        27  0.2218E+00  0.1775E-01  0.8873E-02     0.3     0.0     0.0     0.0    -0.0     0.0      0.3  0.000E+00  0.00

    2
         1  0.2782E+00  0.2254E-02  0.1127E-02     0.3    -0.0    -0.0    -0.0    -0.0    -0.0      0.3  0.000E+00  0.00
         2  0.2782E+00  0.1000E-01  0.1127E-02     0.3     0.0     0.0    -0.0    -0.0    -0.0      0.3  0.000E+00  0.00
         3  0.2782E+00  0.1775E-01  0.1127E-02     0.3     0.0     0.0    -0.0    -0.0    -0.0      0.3  0.000E+00  0.00
         4  0.3750E+00  0.2254E-02  0.1127E-02     0.3    -0.0    -0.0    -0.0     0.0    -0.0      0.3  0.000E+00  0.00
         5  0.3750E+00  0.1000E-01  0.1127E-02     0.3    -0.0    -0.0    -0.0     0.0    -0.0      0.3  0.000E+00  0.00
         6  0.3750E+00  0.1775E-01  0.1127E-02     0.3    -0.0    -0.0    -0.0     0.0    -0.0      0.3  0.000E+00  0.00
         7  0.4718E+00  0.2254E-02  0.1127E-02     0.3     0.0     0.0    -0.0     0.0    -0.0      0.3  0.000E+00  0.00
         8  0.4718E+00  0.1000E-01  0.1127E-02     0.3     0.0     0.0    -0.0     0.0    -0.0      0.3  0.000E+00  0.00
         9  0.4718E+00  0.1775E-01  0.1127E-02     0.3    -0.0    -0.0    -0.0     0.0    -0.0      0.3  0.000E+00  0.00
        10  0.2782E+00  0.2254E-02  0.5000E-02     0.3    -0.0    -0.0    -0.0     0.0    -0.0      0.3  0.000E+00  0.00
        11  0.2782E+00  0.1000E-01  0.5000E-02     0.3     0.0     0.0    -0.0    -0.0    -0.0      0.3  0.000E+00  0.00
        12  0.2782E+00  0.1775E-01  0.5000E-02     0.3     0.0     0.0    -0.0    -0.0    -0.0      0.3  0.000E+00  0.00
        13  0.3750E+00  0.2254E-02  0.5000E-02     0.3    -0.0    -0.0    -0.0    -0.0    -0.0      0.3  0.000E+00  0.00
        14  0.3750E+00  0.1000E-01  0.5000E-02     0.3    -0.0    -0.0    -0.0     0.0    -0.0      0.3  0.000E+00  0.00
        15  0.3750E+00  0.1775E-01  0.5000E-02     0.3    -0.0    -0.0    -0.0     0.0    -0.0      0.3  0.000E+00  0.00
        16  0.4718E+00  0.2254E-02  0.5000E-02     0.3     0.0     0.0    -0.0    -0.0    -0.0      0.3  0.000E+00  0.00
        17  0.4718E+00  0.1000E-01  0.5000E-02     0.3     0.0     0.0    -0.0     0.0    -0.0      0.3  0.000E+00  0.00
        18  0.4718E+00  0.1775E-01  0.5000E-02     0.3    -0.0    -0.0    -0.0     0.0    -0.0      0.3  0.000E+00  0.00
        19  0.2782E+00  0.2254E-02  0.8873E-02     0.3    -0.0    -0.0    -0.0     0.0    -0.0      0.3  0.000E+00  0.00
        20  0.2782E+00  0.1000E-01  0.8873E-02     0.3     0.0     0.0    -0.0     0.0    -0.0      0.3  0.000E+00  0.00
        21  0.2782E+00  0.1775E-01  0.8873E-02     0.3     0.0     0.0    -0.0    -0.0    -0.0      0.3  0.000E+00  0.00
        22  0.3750E+00  0.2254E-02  0.8873E-02     0.3    -0.0    -0.0    -0.0    -0.0    -0.0      0.3  0.000E+00  0.00
        23  0.3750E+00  0.1000E-01  0.8873E-02     0.3    -0.0    -0.0    -0.0     0.0    -0.0      0.3  0.000E+00  0.00
        24  0.3750E+00  0.1775E-01  0.8873E-02     0.3    -0.0    -0.0    -0.0     0.0    -0.0      0.3  0.000E+00  0.00
        25  0.4718E+00  0.2254E-02  0.8873E-02     0.3     0.0     0.0    -0.0    -0.0    -0.0      0.3  0.000E+00  0.00
        26  0.4718E+00  0.1000E-01  0.8873E-02     0.3    -0.0    -0.0    -0.0     0.0    -0.0      0.3  0.000E+00  0.00
        27  0.4718E+00  0.1775E-01  0.8873E-02     0.3    -0.0    -0.0    -0.0     0.0    -0.0      0.3  0.000E+00  0.00

    3
         1  0.5282E+00  0.2254E-02  0.1127E-02     0.3    -0.0    -0.0     0.0     0.0     0.0      0.3  0.000E+00  0.00
         2  0.5282E+00  0.1000E-01  0.1127E-02     0.3    -0.0    -0.0     0.0     0.0     0.0      0.3  0.000E+00  0.00
         3  0.5282E+00  0.1775E-01  0.1127E-02     0.3    -0.0    -0.0     0.0     0.0     0.0      0.3  0.000E+00  0.00
         4  0.6250E+00  0.2254E-02  0.1127E-02     0.3     0.0     0.0     0.0    -0.0     0.0      0.3  0.000E+00  0.00
         5  0.6250E+00  0.1000E-01  0.1127E-02     0.3     0.0     0.0     0.0    -0.0     0.0      0.3  0.000E+00  0.00
         6  0.6250E+00  0.1775E-01  0.1127E-02     0.3     0.0     0.0     0.0    -0.0     0.0      0.3  0.000E+00  0.00
         7  0.7218E+00  0.2254E-02  0.1127E-02     0.3    -0.0    -0.0     0.0    -0.0     0.0      0.3  0.000E+00  0.00
         8  0.7218E+00  0.1000E-01  0.1127E-02     0.3    -0.0    -0.0     0.0    -0.0     0.0      0.3  0.000E+00  0.00
         9  0.7218E+00  0.1775E-01  0.1127E-02     0.3     0.0     0.0     0.0    -0.0     0.0      0.3  0.000E+00  0.00
        10  0.5282E+00  0.2254E-02  0.5000E-02     0.3    -0.0    -0.0     0.0    -0.0     0.0      0.3  0.000E+00  0.00
        11  0.5282E+00  0.1000E-01  0.5000E-02     0.3    -0.0    -0.0     0.0     0.0     0.0      0.3  0.000E+00  0.00
        12  0.5282E+00  0.1775E-01  0.5000E-02     0.3    -0.0    -0.0     0.0    -0.0     0.0      0.3  0.000E+00  0.00
        13  0.6250E+00  0.2254E-02  0.5000E-02     0.3     0.0     0.0     0.0    -0.0     0.0      0.3  0.000E+00  0.00
        14  0.6250E+00  0.1000E-01  0.5000E-02     0.3     0.0     0.0     0.0    -0.0     0.0      0.3  0.000E+00  0.00
        15  0.6250E+00  0.1775E-01  0.5000E-02     0.3     0.0     0.0     0.0    -0.0     0.0      0.3  0.000E+00  0.00
        16  0.7218E+00  0.2254E-02  0.5000E-02     0.3    -0.0    -0.0     0.0    -0.0     0.0      0.3  0.000E+00  0.00
        17  0.7218E+00  0.1000E-01  0.5000E-02     0.3     0.0     0.0     0.0    -0.0     0.0      0.3  0.000E+00  0.00
        18  0.7218E+00  0.1775E-01  0.5000E-02     0.3     0.0     0.0     0.0    -0.0     0.0      0.3  0.000E+00  0.00
        19  0.5282E+00  0.2254E-02  0.8873E-02     0.3    -0.0    -0.0     0.0    -0.0    -0.0      0.3  0.000E+00  0.00
        20  0.5282E+00  0.1000E-01  0.8873E-02     0.3    -0.0    -0.0     0.0     0.0    -0.0      0.3  0.000E+00  0.00
        21  0.5282E+00  0.1775E-01  0.8873E-02     0.3    -0.0    -0.0     0.0    -0.0     0.0      0.3  0.000E+00  0.00
        22  0.6250E+00  0.2254E-02  0.8873E-02     0.3     0.0     0.0     0.0     0.0     0.0      0.3  0.000E+00  0.00
        23  0.6250E+00  0.1000E-01  0.8873E-02     0.3     0.0     0.0     0.0    -0.0     0.0      0.3  0.000E+00  0.00
        24  0.6250E+00  0.1775E-01  0.8873E-02     0.3     0.0     0.0     0.0    -0.0     0.0      0.3  0.000E+00  0.00
        25  0.7218E+00  0.2254E-02  0.8873E-02     0.3     0.0     0.0     0.0    -0.0     0.0      0.3  0.000E+00  0.00
        26  0.7218E+00  0.1000E-01  0.8873E-02     0.3     0.0     0.0     0.0    -0.0     0.0      0.3  0.000E+00  0.00
        27  0.7218E+00  0.1775E-01  0.8873E-02     0.3     0.0     0.0     0.0    -0.0     0.0      0.3  0.000E+00  0.00

    4
         1  0.7782E+00  0.2254E-02  0.1127E-02     0.3     0.0     0.0    -0.0    -0.0    -0.0      0.3  0.000E+00  0.00
         2  0.7782E+00  0.1000E-01  0.1127E-02     0.3     0.0     0.0     0.0    -0.0    -0.0      0.3  0.000E+00  0.00
         3  0.7782E+00  0.1775E-01  0.1127E-02     0.3     0.0     0.0     0.0     0.0    -0.0      0.3  0.000E+00  0.00
         4  0.8750E+00  0.2254E-02  0.1127E-02     0.3    -0.0    -0.0    -0.0    -0.0    -0.0      0.3  0.000E+00  0.00
         5  0.8750E+00  0.1000E-01  0.1127E-02     0.3    -0.0    -0.0    -0.0    -0.0    -0.0      0.3  0.000E+00  0.00
         6  0.8750E+00  0.1775E-01  0.1127E-02     0.3     0.0     0.0    -0.0    -0.0    -0.0      0.3  0.000E+00  0.00
         7  0.9718E+00  0.2254E-02  0.1127E-02     0.3     0.0     0.0    -0.0    -0.0     0.0      0.3  0.000E+00  0.00
         8  0.9718E+00  0.1000E-01  0.1127E-02     0.3     0.0     0.0    -0.0    -0.0     0.0      0.3  0.000E+00  0.00
         9  0.9718E+00  0.1775E-01  0.1127E-02     0.3     0.0     0.0    -0.0    -0.0     0.0      0.3  0.000E+00  0.00
        10  0.7782E+00  0.2254E-02  0.5000E-02     0.3     0.0     0.0    -0.0    -0.0    -0.0      0.3  0.000E+00  0.00
        11  0.7782E+00  0.1000E-01  0.5000E-02     0.3     0.0     0.0     0.0    -0.0    -0.0      0.3  0.000E+00  0.00
        12  0.7782E+00  0.1775E-01  0.5000E-02     0.3     0.0     0.0     0.0     0.0    -0.0      0.3  0.000E+00  0.00
        13  0.8750E+00  0.2254E-02  0.5000E-02     0.3    -0.0    -0.0    -0.0    -0.0    -0.0      0.3  0.000E+00  0.00
        14  0.8750E+00  0.1000E-01  0.5000E-02     0.3    -0.0    -0.0    -0.0     0.0    -0.0      0.3  0.000E+00  0.00
        15  0.8750E+00  0.1775E-01  0.5000E-02     0.3     0.0     0.0    -0.0     0.0    -0.0      0.3  0.000E+00  0.00
        16  0.9718E+00  0.2254E-02  0.5000E-02     0.3    -0.0    -0.0    -0.0     0.0     0.0      0.3  0.000E+00  0.00
        17  0.9718E+00  0.1000E-01  0.5000E-02     0.3    -0.0    -0.0    -0.0    -0.0     0.0      0.3  0.000E+00  0.00
        18  0.9718E+00  0.1775E-01  0.5000E-02     0.3     0.0     0.0    -0.0    -0.0     0.0      0.3  0.000E+00  0.00
        19  0.7782E+00  0.2254E-02  0.8873E-02     0.3     0.0     0.0    -0.0    -0.0    -0.0      0.3  0.000E+00  0.00
        20  0.7782E+00  0.1000E-01  0.8873E-02     0.3     0.0     0.0     0.0    -0.0    -0.0      0.3  0.000E+00  0.00
        21  0.7782E+00  0.1775E-01  0.8873E-02     0.3     0.0     0.0     0.0     0.0    -0.0      0.3  0.000E+00  0.00
        22  0.8750E+00  0.2254E-02  0.8873E-02     0.3    -0.0    -0.0    -0.0    -0.0    -0.0      0.3  0.000E+00  0.00
        23  0.8750E+00  0.1000E-01  0.8873E-02     0.3    -0.0    -0.0    -0.0     0.0    -0.0      0.3  0.000E+00  0.00
        24  0.8750E+00  0.1775E-01  0.8873E-02     0.3    -0.0    -0.0    -0.0     0.0    -0.0      0.3  0.000E+00  0.00
        25  0.9718E+00  0.2254E-02  0.8873E-02     0.3    -0.0    -0.0    -0.0     0.0     0.0      0.3  0.000E+00  0.00
        26  0.9718E+00  0.1000E-01  0.8873E-02     0.3    -0.0    -0.0    -0.0    -0.0     0.0      0.3  0.000E+00  0.00
        27  0.9718E+00  0.1775E-01  0.8873E-02     0.3    -0.0    -0.0    -0.0    -0.0     0.0      0.3  0.000E+00  0.00

                                * END OF STR3 *
 TOTAL CPU: 00:00:00
en/example/nlin/6/2.txt · Last modified: 2024-11-07 09:33 by Petr Pařík