basic FEA doubt

Altair Forum User
Altair Forum User
Altair Employee
edited October 2020 in Community Q&A

Hello @Rahul Ponginan,

 

I am new to hypermesh. When i was studying theoretically about Finite element analysis, i got to know that the calculations will be made at limited number of nodes and then the result will be interpolated to the entire domain.

 

Can you please tell me that what is 'interpolate' in FEA/FEM?

 

I already searched in google and got some theories, but those were unable to understand. Awaiting for your reply.

 

Thanks in an advance.

 

Regards,

 

Saravanan R

 

 

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Answers

  • Pranav Hari
    Pranav Hari Altair Community Member
    edited April 2019

    Hi Saravanan R

     

    Altair Forum User said:

    calculations will be made at limited number of nodes and then the result will be interpolated to the entire domain.

     

    Here limited no: of nodes means finite no of nodes.

     

    Any continuous object has infinite degrees of freedom and it is not possible to solve the problem in this format.  The Finite Element Method reduces the degrees of freedom from infinite to finite with the help of discretization or meshing.

     

    All of the calculations are made at a limited number of points known as nodes. The entity joining nodes and forming a specific shape such as quadrilateral or triangular is known as an Element. To get the value of a variable (say displacement) anywhere in between the calculation points, an interpolation function (as per the shape of the element) is used

     

    Altair Forum User said:

    Can you please tell me that what is 'interpolate' in FEA/FEM?

    The word 'interpolate'  in general means to 'insert (an intermediate value or term) into a series by estimating or calculating it from surrounding known values'. The same thing is done in FEA also as mentioned above

     

    This is clearly mentioned in this e-book. Have a look at this (https://altairuniversity.com/free-ebooks-2/free-ebook-practical-aspects-of-finite-element-simulation-a-study-guide/).

    Refer page 21-33 where it describes how the results are Interpolated from a few calculation points 

  • Altair Forum User
    Altair Forum User
    Altair Employee
    edited April 2019
    Altair Forum User said:

    Hi Saravanan R

     

     

    Here limited no: of nodes means finite no of nodes.

     

    Any continuous object has infinite degrees of freedom and it is not possible to solve the problem in this format.  The Finite Element Method reduces the degrees of freedom from infinite to finite with the help of discretization or meshing.

     

    All of the calculations are made at a limited number of points known as nodes. The entity joining nodes and forming a specific shape such as quadrilateral or triangular is known as an Element. To get the value of a variable (say displacement) anywhere in between the calculation points, an interpolation function (as per the shape of the element) is used

     

    The word 'interpolate'  in general means to 'insert (an intermediate value or term) into a series by estimating or calculating it from surrounding known values'. The same thing is done in FEA also as mentioned above

     

    This is clearly mentioned in this e-book. Have a look at this (https://altairuniversity.com/free-ebooks-2/free-ebook-practical-aspects-of-finite-element-simulation-a-study-guide/).

    Refer page 21-33 where it describes how the results are Interpolated from a few calculation points 

    Hello pranav hari,

     

    Thanks for your prompt response.

     

    Regards,

     

    Saravanan R

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