﻿ Temperature Dependency of Coefficient of ExpansionExamples | Product | Murata Software Co., Ltd.

# Example5Temperature Dependency of Coefficient of Expansion

General

• The model’s material has a temperature-dependent coefficient of expansion.
It deforms when it is subjected to thermal load.

• The deformation, the displacement and the mechanical stress are solved.

• Unless specified in the list below, the default conditions will be applied.

### Analysis Space

 Item Settings Analysis Space 3D Model unit mm

### Analysis Conditions

Select Thermal analysis and Mechanical stress analysis.

 Item Settings Solvers Thermal analysis [Watt] Mechanical stress analysis [Galileo] Thermal-Analysis Type Steady-state analysis Options N/A *

* “Thermal Load” is selected by default for the thermal load-mechanical stress coupled analysis.

The Step/Thermal Load tab is set as follows.

 Tab Setting Item Setting Step/Thermal Load * Reference temperature 0[deg]

* The reached temperatures come from the thermal analysis.

### Model

A cylindrical solid body is defined. The material is set with temperature-dependent coefficient of expansion.
The cylinder’s top and bottom faces are set with different temperature by the “temperature” boundary condition.

### Body Attributes and Materials

 Body Number/Type Body Attribute Name Material Name 0/Solid Body_Attribute_001 Material_Property_001

Temperature dependency of coefficient of expansion is set on the nonlinear table.

Material Name

Tab

Settings

Material_Property_001

Thermal Conductivity

1[W/m/deg]

Elasticity

Young’s modulus: 1×10^9[Pa]

Coefficient of Expansion

Temperature Dependency: Select Yes.

[Temperature-Coefficient of expansion] Table *

 Temperature [deg] Coefficient of expansion [1/deg] 0 1×10^-6 100 10×10^-6

* This is not the actual material’s property.

Press the Graph button. The following graph will show up.

### Boundary Conditions

Thermal analysis is performed based on the boundary conditions below. The resulting temperature distribution is forwarded to mechanical stress analysis.

 Boundary Condition Name/Topology Tab Boundary Condition Type Settings 100degree/Face Thermal Temperature 100[deg] 0degree/Face Thermal Temperature 0[deg]

### Results

The temperature distribution as a result of Watt is shown below.

The vectors of the strain are shown below.

The strain is greater towards the top face.

The vectors of the mechanical stress are shown below.

The inner area is getting the tensile stress, whereas the outer area is getting the compression stress.

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