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Article Citation - Scopus: 35Elastoplastic Response of a Long Functionally Graded Tube Subjected To Internal Pressure(2005) Eraslan,A.N.; Akis,T.Plane strain analytical solutions to functionally graded elastic and elastic-plastic pressurized tube problems are obtained in the framework of small deformation theory. The modulus of elasticity of the tube material is assumed to vary radially according to a 2 parametric model in a general parabolic form. The analytical plastic model is based on Tresca's yield criterion, its associated flow rule and ideally plastic material behavior. Exact solutions of field equations for elastic and plastic deformations are obtained. It is shown that the elastoplastic response of the functionally graded pressurized tube is affected notably by the radial variation of modulus of elasticity. It is also shown mathematically that the nonhomogeneous solution presented here reduces to that of a homogeneous one by the appropriate choice of the material parameters. © TÜBİTAK.Article Citation - WoS: 46Citation - Scopus: 46Elastoplastic Analysis of Functionally Graded Spherical Pressure Vessels(Elsevier Science Bv, 2009) Akis, TolgaPurely elastic, partially plastic and fully plastic stress states of internally pressurized functionally graded spherical pressure vessels are investigated analytically in the framework of small deformation theory. The modulus of elasticity and the uniaxial yield limit of the spherical pressure vessel material are assumed to vary nonlinearly in the radial direction. The plastic model is based on Tresca's yield criterion and ideal plastic material behavior. It is shown that, unlike in the case of a homogeneous spherical pressure vessel, different modes of plasticization may take place due to the radial variation of the functionally grading parameters. (C) 2009 Elsevier B.V. All rights reserved.Article Citation - WoS: 2Yielding of Radially Pressurized Functionally Graded Long Tubes Based on Von Mises Criterion(Gazi Univ, 2015) Akis, Tolga; Eren, OmurThe elastic behaviour of functionally graded long tubes with axially constrained ends subject to either internal or external pressure is investigated analytically. The modulus of elasticity and the yield limit of the tube material are assumed to vary radially in nonlinear forms. Making use of von Mises yield criterion, the effect of grading parameters on the yielding behavior of the tube is investigated and it is observed that for both pressure cases, the plastic flow may commence at the inner surface, at the outer surface or simultaneously at both surfaces depending on the functionally grading parameters.Article Citation - WoS: 51Citation - Scopus: 54Functionally Graded Hollow Cylinder Under Pressure and Thermal Loading: Effect of Material Parameters on Stress and Temperature Distributions(Pergamon-elsevier Science Ltd, 2018) Evci, Celal; Gulgec, MufitThis study presents an analytical solution of stresses and displacements in a long functionally graded (FGM) hollow cylinder subjected to uniform heat generation and internal pressure. Thermo-elastic material properties of FGM cylinder continuously vary in radial direction along the thickness with a power function. The temperature distribution is assumed to vary as a function of the radial coordinate and in steady state. Stress formulation approach is employed using the Airy stress function to derive the analytical solution. In the failure analysis of FGM cylinder, Coulomb-Mohr theory is applied for the ceramic phase whereas Tresca yield criterion is used for the metal phase. The stress analysis reveals that stresses in FGM cylinder decrease considerably, compared to the homogenous one, for a particular interval of material parameters. Radial displacement analysis in FGM cylinder supports the results obtained from stress analysis. (C) 2017 Elsevier Ltd. All rights reserved.Review Citation - Scopus: 7Yielding of long concentric tubes under radial pressure based on von Mises criterion;(2005) Akiş,T.; Eraslan,A.N.The classical problem of a plain strain tube with free ends, subject to either internal or external pressure is extended to tightly fitted long concentric tubes with axially constrained ends. Making use of von Mises yield criterion, critical values of pressure leading to plastic flow are determined in terms of material properties and tube dimensions.
