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Calculation of the Stress intensity factor with CINT command in 2D Workbench 13.0
Aalborg Universitet esbjerg Søren Heide Lambertsen
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Select Analysis type to 2D and then open the Design Modeler.
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Create a crack in the geometry and close the Design modeler.
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Open the model and refine the mesh. Radial/ring patterned mesh is not required.
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In this example a edge mesh sizing is set to 0,5 mm and behavior to Hard.
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The mesh.
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Then set the boundary condition.
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Select Named Selection.
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Select the crack tip and rename the Selection.
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Start a Command window and write the CINT commands.
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Start a new calculation and name the calculation.
Cint,new,1
Enter the type of calculation. In this example the valve of the j integral is calculated.
Cint,type,jint
Define the crack tip, in this example the crack tip is named tip
Cint,ctnc,tip
Enter the coordinate system her the x=1 y=2 z=3. In this example the coordinate is 0 with is the default coordinate system and 2 is the y axis with is normal to the crack direction.
Cint,normal,0,2
There are many other parameters there can be changed, in the example is command is the simplest setup possible. A extra command can be the contours number below the number is set to 10.
Cint,ncon,10
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Start a new calculation and name the calculation.
Cint,new,1
Enter the type of calculation. In this example the valve of the j integral is calculated.
Cint,type,jint
Define the crack tip, in this example the crack tip is named tip
Cint,ctnc,tip
Enter the coordinate system her the x=1 y=2 z=3. In this example the coordinate is 0 with is the default coordinate system and 2 is the y axis with is normal to the crack direction.
Cint,normal,0,2
There are many other parameters there can be changed, in the example is command is the simplest setup possible. A extra command can be the contours number below the number is set to 10.
Cint,ncon,10
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Start a command window under solution and enter the command for printing the j integral solution.
To print the calculation number 1
Print,1,,JINT
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In the solution information the values is shown. In the example the values is negatives, to changes this switch the normal plane direction. How to se below.
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Changes the direction of y axis.
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Like this.
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Calculation of the stress intensity factor. It is important that the coordinate system is correct, if the j-integral is negative switch the direction like in the example. We add a new command. Changes to new,2
Cint,new,2 Cint,type,sifsCint,ctnc,tipCint,ncon,10Cint,normal,0,2
And also print the result from calculation 2.
Prcint,2,,K1
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Like this.
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Like this.
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𝐾 1=591𝑀𝑃𝑎 ∙√𝑚𝑚
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𝐾 1=100𝑀𝑃𝑎 ∙√10𝑚𝑚 ∙𝜋=560.5𝑀𝑃𝑎 ∙√𝑚𝑚
𝐾 1=100𝑀𝑃𝑎 ∙√10𝑚𝑚 ∙𝜋 ∙1− 𝑎2𝑤 +
0.326𝑎2
𝑤2
√1− 𝑎𝑤
=572.2𝑀𝑃𝑎 ∙√𝑚𝑚
Calculated Stress intensity factor