1D Heat Transfer (Bar) — Welcome to LS-DYNA Examples

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A bar is subjected at one end to a varying temperature and at the other end to a constant temperature. Example 22 from Introductory Manual for LS-DYNA Users by James M. Kennedy.

Keywords

*BOUNDARY_TEMPERATURE_SET
*CONTROL_SOLUTION
*CONTROL_TERMINATION
*CONTROL_THERMAL_SOLVER
*CONTROL_THERMAL_TIMESTEP
*DATABASE_BINARY_D3PLOT
*DATABASE_HISTORY_NODE
*DATABASE_TPRINT
*DEFINE_CURVE
*ELEMENT_SOLID
*END
*INITIAL_TEMPERATURE_SET
*KEYWORD
*MAT_THERMAL_ISOTROPIC
*NODE
*PART
*SECTION_SOLID
*SET_NODE_LIST_TITLE
*TITLE

Reduced Input

*KEYWORD
*TITLE
1D Transient Heat Transfer in a Bar
*CONTROL_SOLUTION
         1         0         0         0
*CONTROL_THERMAL_SOLVER
         1         0         3  1.00e-06         8  1.000000  1.000000       0.0
*CONTROL_THERMAL_TIMESTEP
         1  0.500000 1.000e-04 1.000e-04  0.100000  1.000000  0.500000
*CONTROL_TERMINATION
  32.00000         0       0.0       0.0       0.0
*DATABASE_TPRINT
  1.000000         0         0         1
*DATABASE_HISTORY_NODE
         5         6        11        12        17        18        23        24
        29        30        35        36        41        42        47        48
        53        54
*DATABASE_BINARY_D3PLOT
  1.000000         0         0         0         0
*PART
         1         1         0         0         0         0         0         1
*SECTION_SOLID
         1         2         1
*MAT_THERMAL_ISOTROPIC
         1  7200.000       0.0       0.0
  440.5000   35.0000
*BOUNDARY_TEMPERATURE_SET
         1         0       0.0         0
*BOUNDARY_TEMPERATURE_SET
         2         1  1.000000         0
*INITIAL_TEMPERATURE_SET
         3       0.0         0
*SET_NODE_LIST_TITLE
A
         1       0.0       0.0       0.0       0.0
         1         7        13        19        25        31        37        43
        49
*SET_NODE_LIST_TITLE
B 
         2       0.0       0.0       0.0       0.0
         6        12        18        24        30        36        42        48
        54
*SET_NODE_LIST_TITLE
central
         3       0.0       0.0       0.0       0.0
         1         2         3         4         5         6         7         8
         9        10        11        12        13        14        15        16
        17        18        19        20        21        22        23        24
        25        26        27        28        29        30        31        32
        33        34        35        36        37        38        39        40
        41        42        43        44        45        46        47        48
        49        50        51        52        53        54
*DEFINE_CURVE
         1         0       0.0       0.0       0.0       0.0
                 0.0                 0.0
          1.00000000          7.84194040
          2.00000000         15.63558102
          3.00000000         23.33292198
          4.00000000         30.88655281
          5.00000000         38.24995041
          6.00000000         45.37776184
          7.00000000         52.22608948
          8.00000000         58.75275421
          9.00000000         64.91754913
         10.00000000         70.68251801
         11.00000000         76.01214600
         12.00000000         80.87360382
         13.00000000         85.23696136
         14.00000000         89.07533264
         15.00000000         92.36508179
         16.00000000         95.08594513
         17.00000000         97.22116852
         18.00000000         98.75759888
         19.00000000         99.68576813
         20.00000000         99.99996948
         21.00000000         99.69825745
         22.00000000         98.78250122
         23.00000000         97.25833130
         24.00000000         95.13513947
         25.00000000         92.42600250
         26.00000000         89.14760590
         27.00000000         85.32013702
         28.00000000         80.96717834
         29.00000000         76.11553955
         30.00000000         70.79508972
         31.00000000         65.03861237
         32.00000000         58.88155746
*ELEMENT_SOLID
*NODE
*END

Figures

figure_screw_0ms.png

figure_screw_60ms.png

Animated Result

bar3

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