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Investigation of Stress Concentration Factors for Functionally Graded Hollow Tubes with Curved Edges under Torsion | ||
| Iranian Journal of Materials Forming | ||
| دوره 8، شماره 2، تیر 2021، صفحه 22-34 اصل مقاله (1.54 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijmf.2021.39443.1175 | ||
| نویسندگان | ||
| Zohreh Ebrahimi* 1؛ Samaneh Negahban2 | ||
| 1Mechanical Engineering Department, Payame Noor University, Iran. | ||
| 2Mechanical Engineering Department, Payame Noor University, Iran | ||
| چکیده | ||
| In this paper, a finite element (FE) model is developed to calculate stress concentration factors of functionally graded (FG) hollow tubes under torsion. First, the shear stresses in FG hollow tubes with curved edges are investigated for different curvature radius of the cross-section corners. Next, stress concentrations are evaluated at low curvature parts of the cross-sections. Due to stress concentrations in low curvature regions, more considerable shear stresses are obtained. FE results are compared with the results of an analytical method for analysis of the torsion of hollow tubes to verify the computational approaches. Except for the points of stress concentrations, in other regions, an excellent agreement is found between analytical and FE results. Therefore, in stress concentration regions, regarding the error of analytical formula in stress analysis, some correction factor is presented. These stress concentration factors are calculated for a variety of curvature radius and cross-section thicknesses. Applying the presented factors, the proposed analytical formula can be used for stress evaluations, even at stress concentration regions. Finally, the effects of changing the volume fraction of the constituent phases are investigated for a range of curvature radius of cross-section corners. | ||
| کلیدواژهها | ||
| Hollow tube؛ FGMs؛ Stress concentration؛ Torsion؛ Shear stress | ||
| مراجع | ||
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[1] R. Chandra, A.D. Stemple, I. Chopra, Thin-walled composite beams under bending, torsional, and extensional loads. Journal of Aircraft, 27 (1991) 619-626.
[2] M. Savoia, N. Tullini, Torsional response of inhomogeneous and multilayered composite beams. Composite Structures, 25(1993) 587-594.
[3] C.O. Horgan, A.M. Chan, Torsion of functionally graded isotropic linearly elastic bars. Journal of Elasticity, 51(2) (1998) 181-199.
[4] G. Mejak, Optimization of cross-section of hollow prismatic bars in torsion. Communications in Numerical Methods in Engineering, 16(10) (2000) 687-695.
[5] M.R. Hematiyan, A. Doostfatemeh, Torsion of moderately thick hollow tubes with polygonal shapes. Mechanics Research Communications, 34 (2007) 528-537.
[6] A. Doostfatemeh, M.R. Hematiyan, S. Arghavan, Closed-Form Approximate Formulas for Torsional Analysis of Hollow Tubes with Straight and Circular Edges, Journal of Mechanics, 25 (2009) 401-409.
[7] I. Ecsedi, Some analytical solution for saint-venant torsion of non-homogeneous cylindrical bars, European Journal of Mechanics-A/Solids., 28(5) (2009) 985-990.
[8] S. Arghavan, S., M.R. Hematiyan, Torsion of functionally graded hollow tubes. European Journal of MechanicsA/Solids, 28 (2009) 551-559.
[9] B. Golami Bazehhour, J. Rezaeepazhand, Simplified approach for torsional analysis of non-homogenous tubes with non-circular cross-sections. International journal of engineering, 25(3) (2012) 277-287.
[10] Y. Bayat, M. Alizadeh, A. Bayat, Generalized solution of functionally graded hollow cylinder under torsional load. journal jcarme., 2(2) (2013) 23-32.
[11] A. Talebanpour, M.R. Hematiyan, Torsional Analysis of piezoelectric hollow bars. International Journal of Applied Mechanics., 6(02) (2014) 1450019.
[12] R. Barrettaa, R. Luciano, J.R. Willis, On torsion of random composite beams. Composite structures, 132 (2015) 915-922.
[13] I. Eshraghi, N. Soltani, M. Rajabi, Transient stress intensity factors of functionally graded hollow cylinders with internal circumferential cracks, Latin American Journal of Solids and Structures, 13 (2016) 1738-1762.
[14] R.C. Batra, G.J. Nie, Torsional deformations and material tailoring of orthotropic bi-directional FGM hollow truncated conical cylinders with curved lateral surfaces. International Journal of Engineering Science, 133 (2018) 336–351.
[15] G. Wang, L. Dong, and S.N. Atluri, Direct and inverse multi-scale analyses of arbitrarily functionally graded layered hollow cylinders (discs), with different shaped reinforcements, under harmonic loads. Composite Structures, 188 (2018) 425–437.
[16] A. Ghassemi, M. Noroozi, Torsion analysis of infinite hollow cylinders of functionally graded materials weakened by multiple axisymmetric cracks, Theoretical and Applied Fracture Mechanics, 96 (2018) 811-819.
[17] S. Nikbakht, S. Kamarian, M. Shakeri, A review on optimization of composite structures Part II: Functionally graded materials, Composite Structures, 214 (2019) 83–102.
[18] V. Nigrelli, G.V. Mariotti, Stress concentration factor in collar and shouldered shafts in torsion, Engineering Analysis with Boundary Elements, 16 (1995) 71-77.
[19] M.T. Ozkan, F. Erdemir, Determination of stress concentration factors for shafts under tension, Materials Testing, 62(4) (2020) 413-421. | ||
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