Thermal Stress
This problem demonstrates using LS-DYNA to solve for the unconstrained expansion of a block due to heating. The model consists of one 8 node brick element at an initial temperature of 10°C. The brick material is given a volumetric thermal generation rate. Explicit time integration is used for the structural calculations and implicit time integration is used for the thermal calculations. Implicit time integration is unconditionally stable and, therefore, a larger thermal time step can be taken. Download is available in the download section of this document.
Keywords
Keywords
The used Keywords in alphabetical order.
*CONTROL_SOLUTION *CONTROL_TERMINATION *CONTROL_THERMAL_SOLVER *CONTROL_THERMAL_TIMESTEP *CONTROL_TIMESTEP *DATABASE_BINARY_D3PLOT *DATABASE_GLSTAT *ELEMENT_SOLID *END *INITIAL_TEMPERATURE_NODE *KEYWORD *MAT_ELASTIC_PLASTIC_THERMAL *MAT_THERMAL_ISOTROPIC *NODE *PART *SECTION_SOLID *TITLE
Reduced Input
Reduced Input
*Node and *Element Cards are removed.
$ Thermal Expansion of a Block
$
*KEYWORD
$
$=============================CONTROL DEFINITIONS ==============================
$
*TITLE
thermal expansion of a block
*CONTROL_SOLUTION
2
*CONTROL_THERMAL_SOLVER
1 0 1
*CONTROL_TIMESTEP
.01
*CONTROL_THERMAL_TIMESTEP
0 1. .1
*CONTROL_TERMINATION
3.
*DATABASE_BINARY_D3PLOT
.01
*database_glstat
.03
$
$============================== PART DEFINITIONS ===============================
$
*PART
$ PID SECID MID TMID
slab
1 1 1 1
$
$============================= SECTION PROPERTIES ==============================
$
*SECTION_SOLID
$ SECID ELFORM
1 1
$
$====================== MECHANICAL MATERIAL PROPERTIES =========================
$
*MAT_ELASTIC_PLASTIC_THERMAL
1 1.
0. 10. 20. 30. 40. 50.
1.e+10 1.e+10 1.e+10 1.e+10 1.e+10 1.e+10
.3 .3 .3 .3 .3 .3
0.e-06 20.e-07 40.e-07 60.e-07 80.e-07 100.e-07
1.e+20 1.e+20 1.e+20 1.e+20 1.e+20 1.e+20
0. 0. 0. 0. 0. 0.
$
$======================== THERMAL MATERIAL PROPERTIES ==========================
$
*MAT_THERMAL_ISOTROPIC
1 1. 0 10.
1. 1.
$
$============================= NODE DEFINTIONS =================================
$
*NODE
1 0. 0. 0. 7
2 1. 0. 0. 5
3 1. 1. 0. 3
4 0. 1. 0. 6
5 0. 0. 1. 4
6 1. 0. 1. 2
7 1. 1. 1. 0
8 0. 1. 1. 1
$
$============================ ELEMENT DEFINITIONS ==============================
$
*ELEMENT_SOLID
1 1 1 2 3 4 5 6 7 8
$
$============================ ELEMENT DEFINITIONS ==============================
$
*INITIAL_TEMPERATURE_NODE
1 10.
2 10.
3 10.
4 10.
5 10.
6 10.
7 10.
8 10.
*END
Figures
Figures
Animated Result
Animated Result
Download
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