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.


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:
Modulus of Elasticity
2.1e+11 pa
Poisson's Ratio
Coefficient of thermal expansion
1.2e-5 m/m-C
Thermal conductivity
43 W/m-K
Figure 1.

Figure 2.


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.