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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Department of Mechanical Engineering, Kalyani Government Engineering College, Kalyani-741235, West Bengal ,IN
Arup Kumar Biswas -
Department of Mechanical Engineering, Kalyani Government Engineering College, Kalyani-741235, West Bengal ,INSamir Chakravarti
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Department of Mechanical Engineering, Kalyani Government Engineering College, Kalyani-741235, West Bengal ,INSantanu Das
DOI:
https://doi.org/10.24906/isc/2022/v36/i6/220822Keywords:
Non-Linear Shape Function, One Dimensional Element, Two Noded Element, Finite Element Analysis, FEM.Abstract
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.Downloads
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Published
2022-11-01
How to Cite
Biswas, A. K., Chakravarti, S., & Das, S. (2022). Introduction of a Non-Linear Shape Function to One Dimensional Two Noded Element in Finite Element Analysis : A Novel Approach. Indian Science Cruiser, 36(6), 51–54. https://doi.org/10.24906/isc/2022/v36/i6/220822
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Section
Feature Article
References
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