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Contact Analysis (Part 3)

Contact Analysis (Part 3)

This analysis uses the data of tutorial/11_contact_2beam.

Analysis target

The analysis is a contact problem between two beams, and an overview of the analytical model is shown in Figure 4.11.1.

Item Description Notes Reference
Type of analysis Non-linear static analysis(elastoplastic,contact) !SOLUTION,TYPE=NLSTATIC !CONTACT
Number of nodes 252
Number of elements 80
Element type Eight node hexahedral element !ELEMENT,TYPE=361
Material name M1 !MATERIAL,NAME=M1
Material property ELASTIC,PLASTIC !ELASTIC !PLASTIC
Boundary conditions Restraint,Force displacement
Matrix solution Direct method !SOLVER,METHOD=MUMPS

Outline of Analysis Model

Fig. 4.11.1 Outline of Analysis Model

Analysis contents

The Lagrangian multiplier method is used to perform a contact analysis to give a forced displacement to the top surface of the upper beam. The analysis control data is shown below.

Analysis control data 2beams.cnt.

!!
!! Control File for FISTR
!!
!VERSION
 3
!SOLUTION, TYPE=NLSTATIC
!WRITE,RESULT
!WRITE,VISUAL
!BOUNDARY, GRPID=1
  ng1, 1, 3, 0.0
  ng2, 1, 3, 0.0
  ng3, 3, 3, -3.0
!CONTACT_ALGO, TYPE=SLAGRANGE
!CONTACT, GRPID=1, INTERACTION=FSLID
  CP1, 0.0, 1.0e+5
!STEP, SUBSTEPS=100, CONVERG=1.0e-4, MAXITER=1000
 BOUNDARY, 1
 CONTACT, 1
!MATERIAL, NAME=M1
!ELASTIC
 2.1e+5, 0.3
!PLASTIC,YIELD=MISES
 500.0, 10.0
!SOLVER,METHOD=MUMPS
## Post Control
!VISUAL,metod=PSR
!surface_num=1
!surface 1
!output_type=VTK
!END

Analysis procedure

Execute the FrontISTR execution command fistr1.

$ cd FrontISTR/tutorial/11_contact_2beam
$ fistr1 -t 4
(Runs in 4 threads.)

Analysis results

The results of the 100th substep are shown in Figure 4.11.2. A deformation diagram with the Mises stress contours added is created by REVOCAP_PrePost. A part of the analysis results log file is shown below as numerical data for the analysis results.

Analysis results of deformation and Mises stress

Fig. 4.11.2: Analysis results of deformation and Mises stress

Log file 0.log.

 fstr_setup: OK
#### Result step=     0
 ##### Local Summary @Node    :Max/IdMax/Min/IdMin####
 //U1    0.0000E+00         1  0.0000E+00         1
 //U2    0.0000E+00         1  0.0000E+00         1
 //U3    0.0000E+00         1  0.0000E+00         1
 //E11   0.0000E+00         1  0.0000E+00         1
 //E22   0.0000E+00         1  0.0000E+00         1
 //E33   0.0000E+00         1  0.0000E+00         1
 //E12   0.0000E+00         1  0.0000E+00         1
 //E23   0.0000E+00         1  0.0000E+00         1
 //E31   0.0000E+00         1  0.0000E+00         1
 //S11   0.0000E+00         1  0.0000E+00         1
 //S22   0.0000E+00         1  0.0000E+00         1
 //S33   0.0000E+00         1  0.0000E+00         1
 //S12   0.0000E+00         1  0.0000E+00         1
 //S23   0.0000E+00         1  0.0000E+00         1
 //S31   0.0000E+00         1  0.0000E+00         1
 //SMS   0.0000E+00         1  0.0000E+00         1
 ##### Local Summary @Element :Max/IdMax/Min/IdMin####
 //E11   0.0000E+00         1  0.0000E+00         1
 //E22   0.0000E+00         1  0.0000E+00         1
 //E33   0.0000E+00         1  0.0000E+00         1
 //E12   0.0000E+00         1  0.0000E+00         1
 //E23   0.0000E+00         1  0.0000E+00         1
 //E31   0.0000E+00         1  0.0000E+00         1
 //S11   0.0000E+00         1  0.0000E+00         1
 //S22   0.0000E+00         1  0.0000E+00         1
 //S33   0.0000E+00         1  0.0000E+00         1
 //S12   0.0000E+00         1  0.0000E+00         1
 //S23   0.0000E+00         1  0.0000E+00         1
 //S31   0.0000E+00         1  0.0000E+00         1
 //SMS   0.0000E+00         1  0.0000E+00         1
 ##### Global Summary @Node    :Max/IdMax/Min/IdMin####
 //U1    0.0000E+00         1  0.0000E+00         1
 //U2    0.0000E+00         1  0.0000E+00         1
 //U3    0.0000E+00         1  0.0000E+00         1
 //E11   0.0000E+00         1  0.0000E+00         1
 //E22   0.0000E+00         1  0.0000E+00         1
 //E33   0.0000E+00         1  0.0000E+00         1
 //E12   0.0000E+00         1  0.0000E+00         1
 //E23   0.0000E+00         1  0.0000E+00         1
 //E31   0.0000E+00         1  0.0000E+00         1
 //S11   0.0000E+00         1  0.0000E+00         1
 //S22   0.0000E+00         1  0.0000E+00         1
 //S33   0.0000E+00         1  0.0000E+00         1
 //S12   0.0000E+00         1  0.0000E+00         1
 //S23   0.0000E+00         1  0.0000E+00         1
 //S31   0.0000E+00         1  0.0000E+00         1
 //SMS   0.0000E+00         1  0.0000E+00         1
 ##### Global Summary @Element :Max/IdMax/Min/IdMin####
 //E11   0.0000E+00         1  0.0000E+00         1
 //E22   0.0000E+00         1  0.0000E+00         1
 //E33   0.0000E+00         1  0.0000E+00         1
 //E12   0.0000E+00         1  0.0000E+00         1
 //E23   0.0000E+00         1  0.0000E+00         1
 //E31   0.0000E+00         1  0.0000E+00         1
 //S11   0.0000E+00         1  0.0000E+00         1
 //S22   0.0000E+00         1  0.0000E+00         1
 //S33   0.0000E+00         1  0.0000E+00         1
 //S12   0.0000E+00         1  0.0000E+00         1
 //S23   0.0000E+00         1  0.0000E+00         1
 //S31   0.0000E+00         1  0.0000E+00         1
 //SMS   0.0000E+00         1  0.0000E+00         1

 ...

#### Result step=   100
 ##### Local Summary @Node    :Max/IdMax/Min/IdMin####
 //U1    1.4052E-01       196 -6.1114E-01         6
 //U2    4.5562E-02        11 -4.5562E-02       195
 //U3    0.0000E+00         1 -3.0000E+00         8
 //E11   1.5391E-01        11 -1.2825E-01        49
 //E22   5.8868E-02        49 -7.4361E-02       195
 //E33   7.2825E-02       152 -8.2406E-02       132
 //E12   8.9678E-02         7 -8.9678E-02       192
 //E23   9.9327E-02        11 -9.9327E-02       195
 //E31   8.0649E-02       153 -1.3281E-01         7
 //S11   5.7908E+02       132 -6.3560E+02        89
 //S22   1.3056E+02         3 -1.2707E+02        10
 //S33   1.5273E+02         3 -1.4227E+02         1
 //S12   1.4313E+02         3 -1.4313E+02       129
 //S23   1.8051E+02       109 -1.8051E+02       172
 //S31   1.5818E+02       153 -2.4710E+02       194
 //SMS   6.2325E+02       152  8.3543E+00       128
 ##### Local Summary @Element :Max/IdMax/Min/IdMin####
 //E11   8.2835E-02        43 -5.4976E-02         2
 //E22   1.7707E-02        44 -2.6416E-02        43
 //E33   3.7575E-02         2 -5.6705E-02        22
 //E12   1.0513E-11         2 -2.5044E-11        22
 //E23   6.2706E-12         2 -1.8208E-11        42
 //E31   2.2838E-02         2 -6.5650E-02        43
 //S11   5.3959E+02        21 -4.8101E+02         1
 //S22   1.9112E+02        21 -2.2398E+02         1
 //S33   4.5634E+01        25 -6.1476E+01         1
 //S12   3.4435E-07         2 -2.4339E-07        42
 //S23   5.4042E-07         1 -6.6410E-07        22
 //S31   1.0158E+02         4 -1.3326E+02        24
 //SMS   4.6388E+02        22  1.0584E+01        20
 ##### Global Summary @Node    :Max/IdMax/Min/IdMin####
 //U1    1.4052E-01       196 -6.1114E-01         6
 //U2    4.5562E-02        11 -4.5562E-02       195
 //U3    0.0000E+00         1 -3.0000E+00         8
 //E11   1.5391E-01        11 -1.2825E-01        49
 //E22   5.8868E-02        49 -7.4361E-02       195
 //E33   7.2825E-02       152 -8.2406E-02       132
 //E12   8.9678E-02         7 -8.9678E-02       192
 //E23   9.9327E-02        11 -9.9327E-02       195
 //E31   8.0649E-02       153 -1.3281E-01         7
 //S11   5.7908E+02       132 -6.3560E+02        89
 //S22   1.3056E+02         3 -1.2707E+02        10
 //S33   1.5273E+02         3 -1.4227E+02         1
 //S12   1.4313E+02         3 -1.4313E+02       129
 //S23   1.8051E+02       109 -1.8051E+02       172
 //S31   1.5818E+02       153 -2.4710E+02       194
 //SMS   6.2325E+02       152  8.3543E+00       128
 ##### Global Summary @Element :Max/IdMax/Min/IdMin####
 //E11   8.2835E-02        43 -5.4976E-02         2
 //E22   1.7707E-02        44 -2.6416E-02        43
 //E33   3.7575E-02         2 -5.6705E-02        22
 //E12   1.0513E-11         2 -2.5044E-11        22
 //E23   6.2706E-12         2 -1.8208E-11        42
 //E31   2.2838E-02         2 -6.5650E-02        43
 //S11   5.3959E+02        21 -4.8101E+02         1
 //S22   1.9112E+02        21 -2.2398E+02         1
 //S33   4.5634E+01        25 -6.1476E+01         1
 //S12   3.4435E-07         2 -2.4339E-07        42
 //S23   5.4042E-07         1 -6.6410E-07        22
 //S31   1.0158E+02         4 -1.3326E+02        24
 //SMS   4.6388E+02        22  1.0584E+01        20