Meshfree Approach for the Torsional Analysis of Orthotropic and FGM Thin-Walled Open Sections

Articles in Press

Document Type : Research Article

Authors

1 Madan Mohan Malaviya University of Technology, Gorakhpur, U.P, 273010, India

2 Department of Mechanical Engineering, DDU Gorakhpur University, India

Abstract

The torsional study of different engineering sections made up of orthotropic and functionally graded material is presented in this paper. Prandtl’s stress function approach is used for the formulation of governing differential equation. Thin plate spline (TPS) radial basis function-based collocation meshfree method is utilized for discretization and solution of the governing differential equations. A classical power law is considered for the modelling of FGM material. A computer program is developed for the solution of the discretized partial differential equations. To assess the efficacy and accuracy of the present meshfree approach, a numerical example for an equilateral triangle is considered to conduct a convergence and accuracy test. Finally, the torsional stiffness and shear stress for the orthotropic and FGM sections of the equilateral triangle, L-section, and T-sections are computed. The novelty in the present meshfree methodology lies in the handling of the singular behaviour of re-entrant corners. The effect of stress concentration can be seen at the re-entrant corners. The proposed methodology shows excellent performance to solve these types of torsion problems.

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Main Subjects

Mechanics of Advanced Composite Structures

Articles in Press, Accepted Manuscript
Available Online from 07 February 2025

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