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Introduction of a Non-Linear Shape Function to One Dimensional Two Noded Element in Finite Element Analysis : A Novel Approach
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Conventionally, linear shape functions are used for two noded one dimensional elements. Determination of coefficients of a second degree polynomial are restricted to one dimensional two noded element as it requires more than two boundary conditions at each node. The present work introduces a new nonlinear trigonometric shape function to a one dimensional two noded element. Results with newly introduced shape function show better matching with exact solution to the specified solid mechanics problem.
Keywords
Non-Linear Shape Function, One Dimensional Element, Two Noded Element, Finite Element Analysis, FEM.
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