Validation Case: Bimetallic Strip Under Thermal Load
This validation case belongs to thermomechanics, with the case of a bimetallic strip under thermal load. The aim of this test case is to validate the following parameters:
Thermomechanical solver
Multiple materials and bonded contact
The simulation results of SimScale were compared to theoretical computations derived from [Roark’s]\(^1\).
Figure 1: The strip external faces are split to create the needed points for boundary conditions.
It represents a strip with length \(l\) of 10 \(m\), width \(w\) of 1 \(m\) and thickness \(t\) of 0.1 \(m\), composed of two strips each with thickness \(t_a , t_b\) of 0.05 \(m\). Nodes N1 and N3 are located at mid-thickness and node N2 is located at the bottom surface as shown in figure 1.
Analysis Type and Mesh
Tool Type: Code_Aster
Analysis Type: Thermomechanical steady state with static inertia effect
Mesh and Element Types:
Mesh Type
Number of Nodes
Element Type
2nd order hexahedral
3652
Standard
Table 1: Mesh details
The hexahedral mesh was computed locally and uploaded into the simulation project.
Figure 2: Finite elements hexahedral mesh used for the simulation (closer view on the left)
Fixed temperature \(T = \) 400 \(K\) applied on top and bottom surfaces
Contacts:
Bonded contact between the strips
Reference Solution
The reference solution is of the analytical type, as presented in [Roark’s]\(^1\). It is given in terms of the displacements of the free end of the strip and the stress at the bottom surface:
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