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
*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
$ 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
Animated Result
