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Chakravarti, Samir
- Introduction of a Non-Linear Shape Function to One Dimensional Two Noded Element in Finite Element Analysis : A Novel Approach
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Authors
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1 Department of Mechanical Engineering, Kalyani Government Engineering College, Kalyani-741235, West Bengal, IN
1 Department of Mechanical Engineering, Kalyani Government Engineering College, Kalyani-741235, West Bengal, IN
Source
Indian Science Cruiser, Vol 36, No 6 (2022), Pagination: 51-54Abstract
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.References
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