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A Step-by-step Example to Demonstrate the Zeroing of Stresses When Changing Material at a Certain Step

Problem Description

We consider stepwise plate stretching. A round inclusion is made in the plate from the main material (i.e. the material is the same throughout the plate). The problem is solved in 2 steps of loading. At the first step, the plate undergoes uniaxial tension along the x axis,in the second step, the load is removed and the material is replaced for inclusion in such a way that Young's modulus and Poisson's ratio remain the same, but zero initial stresses are set. Stresses around the inclusion at the last loading step are analyzed.

Geometry creation

1. Create a plate with a side of 100.

On the command bar, select the module for constructing surface geometry (Mode — Geometry, Entity — Surface, Action — Create).

From the list of geometric primitives, select  Rectangle.

Set the following parameters:

Click Apply.

2. Create a circle with a radius 10.

On the command bar, select the module for constructing surface geometry (Mode — Geometry, Entity — Surface, Action — Create).

From the list of geometric primitives, select  Circle.

Set the following parameters:

Click Apply.

 

3. Cut the circle out of the plate while keeping the originals (Save In).

On the command bar, select the module for constructing surface geometry (Mode — Geometry, Entity — Surface, Action — Boolean).

From the list of operations, select Subtract.

Set the following parameters:

Click Apply.

 

4. Merge geometry.

On the command bar, select the module for constructing surface geometry (Mode — Geometry, Entity — Surface, Action — Merge).

From the list of actions, select Merge.

Set the following parameters:

Click Apply.

Meshing

 On the command bar, select the surface mesh module (Mode - Mesh, Entity - Surface, Action - Intervals).

Set the following parameters:

Click Mesh.

 

Setting the material

In the command bar, select the module for specifying material properties (Mode - Material, Entity - Materials Management).

Create two materials.

material 1:

material 2:

Click Apply.

Close the Materials management window.

Setting the block properties

1. Create a block of one material type.

On the command bar, select the block management module (Mode — Blocks, Entity — Block, Action — Add).

Set the following parameters:

Click Apply.

2. Create the second block.

On the command bar, select the block management module (Mode — Blocks, Entity — Block, Action — Add).

Set the following parameters:

Click Apply.

3. Set parameters for blocks 1 and 2.

On the command bar, select the block management module (Mode - Blocks, Entity - Block, Action - Block properties/parameters).

Set the following parameters:

Click Apply.

 

Setting boundary conditions

1. Fix the right and left sides according to the symmetry condition along the X axis.

On the command panel, select the boundary conditions module (Mode — Boundary Conditions, Entity — Displacement, Action — Create).

Set the following parameters:

Click Apply.

2. Fix some knot in the center of the plate along all degrees of freedom.  

On the command panel, select the boundary conditions module (Mode — Boundary Conditions, Entity — Displacement, Action — Create).

Set the following parameters:

Click Apply.

 

3. Set the pressure to 100 MPa (tensile) on the top and bottom faces.

On the command panel, select the boundary conditions module (Mode — Boundary Conditions, Entity — Pressure, Action — Create).

Set the following parameters:

Click Apply.

Starting calculation

1.  Set the type of problem you want to solve.

On the command bar, select the calculation settings module (Mode - Calculation Settings, Calculation Settings — Static, Static — General).

Select:

2. Set active steps for pressure: 1.

3. Change the material in the second step to material 2.

Click Apply.

Click Start Calculation.

4. In the window that appears, select the directory in which the result will be saved and enter the file name.

5. In the case of a successful calculation, the console displays the message: Calculation finished successfully at "date" "time".

Results analysis

1. Open the file with the results. There are three ways to do that.

2. Display the Stress field on a surface with ribs.

In the resulting FidesysViewer window toolbar, set the following parameters:

The model displays a voltage distribution box.

Step 1

Step 2

At the last step of the solution for the deformed view, the plate returned to its original

condition, and the cutout remained elliptical.

For comparison, a solution without zero initial stresses for the second material is shown.:

Step 1

Step 2

Using Console Interface

Geometry creating, meshing, setting boundary conditions and materials can be performed using the console interface. Below is a link to the program code that allows you to perform the steps described above manual, you only need to specify the full path and name.

zeroing_stress