SS-V: 4020 Coupled Thermal-Structural Analysis - Constrained
Straight Bar Under Uniform Temperature
Test No. VTL03 Determine stresses along a constrained
stright bar under uniform temperature.
Definition
A straight 1 x 1 x 10 mm bar (Figure 1) is constrained at ends and is thermally
loaded. A temperature change of 100 degrees Celsius is applied to one end of the bar
and the rest of the bar surface is insulated.
The material properties are:
Properties
Value
Modulus of Elasticity
2.1e+11 pa
Poisson's Ratio
0.3
Coefficient of thermal expansion
1.2e-5 m/m-C
Thermal conductivity
43 W/m-K
Figure 1. Figure 2.
Results
The bar is simulated using a 3D solid model. Thermal
analysis is performed first. Due to applied thermal conditions, the bar reaches a
constant temperature of 100 degrees Celsius everywhere.
Then the result of
thermal analysis is used as input for structural analysis. In order to make use of
reference data obtained for a 1D model of the bar, the following constraints are
applied: sliding supports are applied to end surfaces of the bar and two vertices at
one end of the bar are constrained in order to eliminate rigid body motion of the
bar (Figure 2).
Ref Solution
SimSolid
% Difference
Stress along bar (compression) [pa]
2.520E+08
2.516E+08
-0.16%
1 W.C. Young,
R.G. Budynas, Roark’s Formulas for Stress and Strain, Seventh Edition, McGraw-Hill
Book Co., Inc., 2001, p. 759.
