Elastoplastic torsion of hollow FGM circular shaft

Bayat, Y.; Ekhteraei Toussi, H.

doi:10.22061/jcarme.2015.274

تعداد نشریات	11
تعداد شماره‌ها	228
تعداد مقالات	2,323
تعداد مشاهده مقاله	3,696,392
تعداد دریافت فایل اصل مقاله	2,713,471

	Elastoplastic torsion of hollow FGM circular shaft
Journal of Computational & Applied Research in Mechanical Engineering (JCARME)
مقاله 6، دوره 4، شماره 2 - شماره پیاپی 8، فروردین 2015، صفحه 165-180 اصل مقاله (1.19 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22061/jcarme.2015.274
نویسندگان
Y. Bayat^* ؛ H. Ekhteraei Toussi
Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad 9177948944-11, I. R. Iran
تاریخ دریافت: 11 مهر 1393، تاریخ بازنگری: 22 آبان 1393، تاریخ پذیرش: 12 آذر 1393
چکیده
In many cases, a torsional shaft may be a thick-walled radially inhomogeneous cylindrical object. The hollow shafts made of functionally graded materials (FGMs) are such kind of compositions which were studied in this paper. Cylindrical FG shafts are composed of ceramic and metallic parts with power function distribution across the radial direction. The ceramic phase is isotropic elastic and the metallic phase was elastic-plastic. In this paper, the volume fraction-based elastic–plastic mixture rule of renowned Tamura–Tomota–Ozawa (TTO) was used to model the behavior of the composite material. The elasto-plastic torsion problem was modeled and solved analytically. The results were compared with the simulations of ABAQUS and the accuracy of the solutions was evaluated. Depending on the thickness and level of inhomogeneity, different modes of yielding were obtained. The results showed that plastic zone could occur at the inner or outer surfaces or simultaneously at both surfaces; even it may start in-between the thickness. Moreover, the influence of material inhomogeneity and thickness of shaft upon the plastic zone development were studied and discussed.
کلیدواژه‌ها
Functionally graded material؛ Elastic-plastic analysis؛ Torsion؛ Hollow circular shaft؛ Tamura–Tomota–Ozawa model

مراجع
[1] Nadai, “Plasticity”, McGraw-Hill, New York, (1931). [2] Nadai, “Theory of Flow and Fracture of Solids”, McGraw-Hill, New York, (1954). [3] G. Christopherson, “A theoretical investigation of plastic torsion in an I-beam”, Journal of Applied Mechanic, Vol. 7, No.1, pp. 1–4, (1940). [4] O. Smith and O.M. Sidebottom, “Inelastic behavior of load carrying members”, John Wiley & Sons, New York, (1965). [5] G. Hodge, “A deformation bounding theorem for flow-law plasticity”, Quarterly of Applied Mathematics, Vol. 24, No.1, pp.171–174, (1966). [6] G. Hodge, “Elastoplastic torsion as a problem in nonlinear programming”, international Journal of Solids Structure, Vol.3, No.6, pp. 989–999, (1967). [7] G. Hodge, C.T. Herakovich, R.B. Stout, “On numerical comparison in elastic- plastic torsion”, Journal of Applied Mechanics, Vol.35, No.3, pp. 454–9, (1968). [8] Yamada, S. Katagiri, K. Katakryka, “Elastoplastic analysis of Saint-Venant torsion problem by a hybrid stress model”, International Journal for Numerical Methods in Engineering, Vol.18, No.2, pp. 927–44, (1982). [9] M. May and I.A.S. Al-Shaarbaf, “Elastoplastic analysis of torsion using a three- dimensional finite element model”, Computers & Structures, Vol.33, No.3, pp.667–78, (1989). [10] Billinghurst, J.R.L. Wiliams, G. Chen, N.S. Trahair, “Inelastic uniform torsion of steel members”, Computers & Structures, Vol.42, No.6, pp. 887–94, (1992). [11] Wagner and F. Gruttmann, “Finite element analysis of Saint-Venant torsion problem with exact integration of elastoplastic constitutive equations”, Computational Methods in Applied Mechanics and Engineering, Vol.190, No.29-30, pp. 3831–48, (2001). [12] Bakhshiani, M. Mofid, A.R. Khoei, S.L. McCabe, “Finite strain simulation of thin-walled tube under torsion using endochronic theory of plasticity”, Thin-Walled Structures, Vol.41, No.5, pp.435–59,( 2003). [13] J. Sapountzakis and V.J. Tsipiras, “Nonlinear inelastic uniform torsion of composite bars by BEM”, Computers & Structures, Vol.87, No.3-4, pp.151–66, (2009). [14] AdamKolodziej, P. Gorzelanczyk, “Application of method of fundamental solutions for elastoplastic torsion of prismatic rods”, Engineering Analysis with Boundary Elements, Vol.36, No.2, pp.81-86, (2012). [15] N. Eraslan, T. Akis, “Elastoplastic response of a long functionally graded tube subjected to internal pressure”, Turkish Journal of Engineering & Environmental Sciences, Vol.29, No.6, pp.361–368, (2005). [16] Akis and A.N. Eraslan, “The stress response and onset of yield of rotating FGM hollow shafts”, Acta Mechanica, Vo.187, No.1-4, pp.169-187, (2006). [17] Akis, Elastoplastic analysis of functionally graded spherical pressure vessels, Computational Materials Science, Vol.46, No.6, pp.545-554, (2009). [18] Sadeghian and H. EkhteraeiToussi, Axisymmetric yielding of functionally graded spherical vessel under thermo-mechanical loading, Computational Materials Science, Vol.50, No.3, pp. 975-81, (2011). [19] EkhteraeiToussi and M. RezaeiFarimani, “Elastoplastic deformation analysis of rotating disc beyond its limit speed”, International Journal of Pressure Vessels and Piping, Vol.89, No.1, pp. 170-77, (2012). [20] Nemat-Alla, K. Ahmed, Hassab-Allah I, “Elastic–plastic analysis of two-dimensional functionally graded materials under thermal loading”, International Journal of Solids and Structures, Vol.46, No.14-15, pp.2774-86, (2009). [21] Ozturk and M. Gulgec, “Elastic–plastic stress analysis in a long functionally graded solid cylinder with fixed ends subjected to uniform heat generation”, International Journal of Engineering Science, Vol.49, No.10, pp.1047-61, (2011). [22] Bayat, M. Alizadeh, A. Bayat, “Generalized solution of functionally graded hollow cylinder under torsional load”, Journal of Computational and Applied Research in Mechanical Engineering, Vol.2, No.2, pp.23-33, (2013). [23] Tamura, Y. Tomota, H. Ozawa, “Strength and ductility of Fe–Ni–C alloys composed of austenite and martensite with various strength”, In: Proceedings of the Third International Conference on Strength of Metals and Alloys, Cambridge: Institute of Metals, Vol.1, No.1, pp. 611–615, (1973). [24] T. Kalali and S. Hadidi, “A Semi-analytical Approach to Elastic-plastic Stress Analysis of FGM Pressure Vessels”, Journal of Solid Mechanics, Vol. 5, No.1, pp. 63-73, (2013). [25] L. Williamson, B.H. Rabin, J.T. Drake, “Finite element analysis of thermal residual stresses at graded ceramic–metal interfaces, Part I: model description and geometrical effects”, Journal of Applied Physics, Vol.74, No.2, pp.1310–20, (1993). [26] E. Giannakopoulos, S. Suresh, M. Finot, M. Olsson, “Elastoplastic analysis of thermal cycling: layered materials with compositional gradients”, Acta Metallurgica et Materialia, Vol. 43, No.4, pp. 1335–1354, (1995). [27] H. Jin, G.H. Paulino, R.H. Dodds. “Cohesive fracture modeling of elastic–plastic crack growth in functionally graded materials”, Engineering Fracture Mechanics, Vol.70, No.14, pp. 1885-1912, (2003). [28] Gunes, M. Aydin, M.K. Apalak, J.N. Reddy. “The elastoplastic impact analysis of functionally graded circular plates under low-velocities”, Composite Structures, Vol. 93, No.2, pp. 860–869, (2011). [29] Bhattacharyya, S. Kapuria, A.N. Kumar, “On the stress to strain transfer ratio and elastic deflection behavior for Al/SiC functionally graded material”, Mechanics of Advance Material Structure , Vol.14, No.4, pp. 295–302, (2007). [30] O. Horgan and A.M. Chan, “Torsion of functionally graded isotropic linearly elastic bars”, Journal of Elasticity, Vol.52, No.2, pp. 181–199, (1999). [31] Sadd , “Elasticity theory, applications, and numerics 2e”, Burlington, MA01803, USA, (2009). [32] Mendelson, “Plasticity: Theory and Application”, The Macmillan Company, New York, (1960). [33] Aydin, “An investigation on mechanical behaviors of functionally graded circular plates under low velocity impact loadings”, MSc Thesis, The Institute of Natural Sciences and Technology, Erciyes University, Kayseri, (2009). [34] Bayat, M. Ghannad,H. Torabi, “Analytical and Numerical Analysis for the FGM Thick walled sphere under Combined Pressure and Temperature Loading”, Archive Applied Mechanic, Vol.82, No.2, pp. 229-242, (2012).
آمار تعداد مشاهده مقاله: 2,718 تعداد دریافت فایل اصل مقاله: 3,980

سامانه مدیریت نشریات علمی. طراحی و پیاده سازی از سیناوب

پیوندهای مفید

آمار

Elastoplastic torsion of hollow FGM circular shaft