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Example6Temperature Dependency of Young’s Modulus

General

• The model’s material has a temperature-dependent Young’s modulus.
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 rectangular rod is defined. The material is set with temperature-dependent coefficient of expansion.
The rod’s end faces are set with different temperature and displacement by “temperature” and “displacement boundary conditions.

Body Attributes and Materials

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

Temperature dependency of Young’s modulus is set on the nonlinearity table.

Material Name

Tab

Settings

ElasticMaterial

Elasticity

Material Type: Elastic/Isotropic

Temperature Dependency: Yes

[Temperature-Isotropic elasticity] Table *

 Temperature [deg] Young’s modulus [Pa] Poisson’s ratio. 0 1×10^9 0.3 100 0.1×10^9 0.3

* This is not the actual material’s property.

Thermal Conductivity

1[W/m/deg]

Press the Graph button. The following graph will appear.

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] Mechanical Displacement Select UY UY=0[m] 0degree/Face Thermal Temperature 0[deg] Mechanical Displacement Select UY UY=0.1×10^-3[m]

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 rod’s right end.

The vectors of the mechanical stress are shown below.

The tensile stress is exhibited in the y direction.

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