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.