EFFECT OF BIASING IN MESH

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 Hey guys,

In a previous blog, We have talked about the effect of mesh density on critical areas. Today in this blog we are going to talk about the effect of biasing in mesh... I know this time this is pretty much late due to some issues I am unable to write. But now let's continue this ...

Firstly let's talk about 

What is Biasing in the mesh?

The mesh Biasing means in meshing we are focusing on the particular or say critical region where we know that the stress can occur. So improving mesh density in that particular region is known as biasing. But now you will ask what is the difference between the Effect of mesh density on critical areas... It is the same explained in the previous blog...

Actually, it is  not, 

Although we are doing mesh refinement in that region. and also we are excluding some mesh refinement from the outer region of geometry where the stress concentration is low. Also, we can call biasing as it is the structured way of doing mesh.

or

We can call this in a simple way as When element length is not the same on the edge and biased towards the points then it is known as biased meshing.

This biasing can be achieved by entering the value of the biasing factor.

Then, what is biasing fator?

A biasing factor is a particular number that is measured by the maximum element length to the minimum element length given as

Biasing Factor= Max. element length / Min. element length

P.S.: Different commercial software calculate bias differently


As you can see in this image there is a different biasing factor is used due to which the mesh density is going to vary.

Now, let's do some statistical verification...

As mentioned in the previous blog the Boundary Condition are the same and the Exact answer of stress is 3N/mm^2

(You can check it out here: https://understandingfea.blogspot.com/2020/11/effect-of-mesh-density-on-critical-areas.html)


So, what it tells us...

As per the previous blog, the higher the no. of mesh size has the higher the no. of accuracy. But this biasing can tell us the important thing that

                         even without increasing no. of elements one could achieve a better result by appropriate arrangement of nodes and elements, that to not any extra computational cost it will save them time and money...


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