Temperature Dependency of Young’s Modulusexamples|products|Murata Software Co., Ltd.

Example6 Temperature 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.