General
Capacitance change of a capacitor by thermal expansion is analyzed.
[Analysis with deformed shape taken into consideration] is used.
Unless specified in the list below, the default conditions will be applied.
Three analysis models are prepared.
・Before deformation (electric field analysis)
・Deformed shape (mechanical stress analysis)
・After deformation (electric field analysis)
See [Analysis with the Deformed Shape Taken into Account] for more information.
Set up analysis before the deformation. The model is named [Before deformation].
Item 
Setting 
Analysis Space 
3D 
Model unit 
mm 
Item 
Setting 
Solver 
Electric field analysis [Coulomb] 
Analysis Type 
Static analysis (capacitance) 
Options 
None 
In actuality, the electric field exists outside the analysis domain. Therefore the open boundary condition below is applied initially.
Tab 
Setting Item 
Setting 
Open Boundary Tab 
Type 
Absorbing boundary 
Order of Absorbing Boundary 
1st degree 
Create a cubic solid body for a dielectric (Block).
Create the voltagesetting places by the sheet bodies to set the voltage boundary condition on the top and bottom faces of the dielectric.
Body Number/Type 
Body Attribute Name 
Material Name 
0/Solid 
Block 
001_Alumina * 
1/Sheet 
None (imprinting body) 

2/Sheet 
None (imprinting body) 
* Available from the material DB
Boundary Condition Name/Topology 
Tab 
Boundary Condition Type 
Setting 
V0/Face 
Electric 
Electric wall 
Voltage specified, 1[V] 
V1/Face 
Electric 
Electric wall 
Voltage specified, 0[V] 
Outer Boundary Condition * 
Electric 
Open Boundary 
Set up on the open boundary tab. 
To set Outer Boundary Condition, go to the [Model] tab
and click [Outer Boundary Condition] .
Set the mechanical stress analysis to calculate the deformation caused by the thermal expansion.
Copy Analysis Model 1 (before deformation) and set up as follows. The model is named [Deformed shape calculation].
See [Copy Analysis Model into Project] for the details.
Item 
Setting 
Solver 
Mechanical stress analysis [Galileo] 
Analysis Type 
Static Analysis 
Options 
Thermal Load 
Tab 
Setting Item 
Setting 
Step/Thermal Load 
Step Setting 
Thermal load analysis 
Reference temperature 
25[deg] 

Reached Temperature 
200[deg] 
Set up the analysis that takes the deformed shape into account.
Copy Analysis Model 1 (before deformation) and set up as follows. The model is named [After deformation].
See [Copy Analysis Model into Project] for the details.
Specify Analysis Model 2 (Deformation shape calculation) on the result import tab.
Tab 
Setting Item 
Setting 
Result Import 
Import Type 
Deformed shape 
Specify Results 
Specify Analysis Model [Deformed Shape Calculation] 
Run the solver with all analysis models. Calculation of Analysis Model 2 (deformed shape) must be completed before going on to Analysis Model 3 (after deformation).
To see the calculation results, go to the [Results] tab
and click [Table] .
Results of Analysis Model 1 (before deformation) are as follows.
The capacitance of C12 is 0.884[pF].
A displacement diagram of Analysis Model 2 (deformed shape calculation) is shown as below.
The expansion due to the temperature change is observed.
Results of Analysis Model 3 (After deformation) are as follows.
The capacitance of C12 is 0.892[pF]. It confirms that the capacitance is increased due to the deformation.