Pascal’s Triangle for determining the appropriate displacement field in finite element analysis

For the convergence of solution in finite element analysis, the assumed displacement field should be isotropic . This is achieved if the components of the displacement field are complete polynomials. This is achieved by using PASCAL’s TRIANGLE. It is a technique of including the appropriate number of terms in the displacement model. It also gives an idea about the number of nodes required for the completion of the selected polynomial. Please go through the attached file to get an insight about pascal’s triangle.

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