ANALYSIS OF COMPOSITE ROD STRESS DISTRIBUTION USING MODIFIED PRANDTL STRESS FUNCTION
Abstract
This article presents a comprehensive analysis of the stress distribution in a composite rod with varying radii using the modified Prandtl stress function. The rod consists of an outer part made of iron and an inner part made of bronze, each with different shear moduli. The modified Poisson's equation is derived, accounting for the radii of the rod, and the Prandtl stress function is used to determine the stress state at each point. The solution involves solving a set of partial differential equations through separation of variables. The results provide insights into the stress distribution and deformation behavior of the composite rod under torsion. The findings contribute to the understanding of composite materials and their mechanical properties.
References
ElNashar, E. A., & Pirogov, D. (2022). Properties of torsion rod in "Sulzer” projectiles loom. Journal of Textile Engineering & Fashion Technology.
Qu, Y., Jin, F., & Yang, J. (2021). Torsion of a flexoelectric semiconductor rod with a rectangular cross section. Archive of Applied Mechanics. https://doi.org/10.1007/s00419-020-01867-0
Bashchikova, I. A. (2022). ROD TORSION IN KINEMATIC CREEP MODES. Journal of Applied Mechanics and Technical Physics. https://doi.org/10.1134/S0021894422050194
Миронов, Б. Г., & Миронов, Ю. Б. (2022). On torsion of rods with translational anisotropy under external pressure. Вестник Чувашского Государственного Педагогического Университета Им. И.Я. Яковлева. Серия: Механика Предельного Состояния. https://doi.org/10.37972/chgpu.2022.52.2.008
Kaluza, M., & Le, K. C. (2011). On torsion of a single crystal rod. International Journal of Plasticity. https://doi.org/10.1016/j.ijplas.2010.07.003
