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Prasad, Ram Bilas, Kumar, Rahul, Singh, Jeeoot. (1403). Meshfree Approach for the Torsional Analysis of Orthotropic and FGM Thin-Walled Open Sections. نشریه هنرهای کاربردی, (), -. doi: 10.22075/macs.2025.34565.1692
Ram Bilas Prasad; Rahul Kumar; Jeeoot Singh. "Meshfree Approach for the Torsional Analysis of Orthotropic and FGM Thin-Walled Open Sections". نشریه هنرهای کاربردی, , , 1403, -. doi: 10.22075/macs.2025.34565.1692
Prasad, Ram Bilas, Kumar, Rahul, Singh, Jeeoot. (1403). 'Meshfree Approach for the Torsional Analysis of Orthotropic and FGM Thin-Walled Open Sections', نشریه هنرهای کاربردی, (), pp. -. doi: 10.22075/macs.2025.34565.1692
Prasad, Ram Bilas, Kumar, Rahul, Singh, Jeeoot. Meshfree Approach for the Torsional Analysis of Orthotropic and FGM Thin-Walled Open Sections. نشریه هنرهای کاربردی, 1403; (): -. doi: 10.22075/macs.2025.34565.1692

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

Mechanics of Advanced Composite Structures
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 19 بهمن 1403    اصل مقاله (4.65 M)
نوع مقاله: Research Article
شناسه دیجیتال (DOI): 10.22075/macs.2025.34565.1692
نویسندگان
Ram Bilas Prasad* 1؛ Rahul Kumar2؛ Jeeoot Singh1
1Madan Mohan Malaviya University of Technology, Gorakhpur, U.P, 273010, India
2Department of Mechanical Engineering, DDU Gorakhpur University, India
تاریخ دریافت: 05 تیر 1403،  تاریخ بازنگری: 16 دی 1403،  تاریخ پذیرش: 19 بهمن 1403 
چکیده
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.
کلیدواژه‌ها
Torsion؛ RBF؛ FGM؛ Orthotropic؛ T-Shape
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