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Heat transfer I

This problem demonstrates using LS-DYNA to solve a 2-dimensional steady state heat transfer problem with temperature boundary conditions. Shell formulation 12 for plane geometry is used. Download is available in the download section of this document.

Keywords

Keywords

The used Keywords in alphabetical order.

*BOUNDARY_TEMPERATURE_NODE
*CONTROL_SOLUTION
*CONTROL_TERMINATION
*CONTROL_THERMAL_SOLVER
*DATABASE_BINARY_D3PLOT
*DATABASE_TPRINT
*ELEMENT_SHELL
*END
*KEYWORD
*MAT_THERMAL_ISOTROPIC
*NODE
*PART
*SECTION_SHELL
*TITLE

Reduced Input

Reduced Input

*Node and *Element Cards are removed.

  $ 2-Dimensional Heat Transfer
  $
  $     2--------4--------6     boundary conditions
  $     |        |        |       T=0. at  nodes 1,2
  $     |        |        |       T=2. st  nodes 5,6
  $     |        |        |
  $     1--------3--------5     analytical answer  T=1. at nodes 3,4
  $
  *KEYWORD
  $
  $=============================CONTROL DEFINITIONS ==============================
  $
  *TITLE
  steady state conduction in a slab
  *CONTROL_SOLUTION
           1
  *CONTROL_THERMAL_SOLVER
           0         0         1
  *CONTROL_TERMINATION
          1.
  *DATABASE_TPRINT
          1.
  *DATABASE_BINARY_D3PLOT
          1.
  $
  $============================== PART DEFINITIONS ===============================
  $
  *PART
  $      PID     SECID       MID                                              TMID
  slab
           1         1                                                           1       
  $
  $============================= SECTION PROPERTIES ==============================
  $
  *SECTION_SHELL
  $    SECID    ELFORM
           1        12
       0.001     0.001     0.001     0.001        0.
  $
  $======================== THERMAL MATERIAL PROPERTIES ==========================
  $
  *MAT_THERMAL_ISOTROPIC
           1        1.
          1.        1.
  $
  $============================= NODE DEFINTIONS =================================
  $
  *NODE
         1              0.              0.
         2              0.              1.
         3              1.              0.
         4              1.              1.
         5              2.              0.
         6              2.              1.
  $
  $============================ ELEMENT DEFINITIONS ==============================
  $
  *ELEMENT_SHELL
         1       1       1       3       4       2
         2       1       3       5       6       4
  $
  $======================== THERMAL BOUNDARY CONDITIONS ==========================
  $
  *BOUNDARY_TEMPERATURE_NODE
           1         0        0.
           2         0        0.
           5         0        2.
           6         0        2.
  *END

Figures

Figures

image01.gif

image02.gif

Animated Result

Animated Result

Result