Transient thermal stress analysis of a functionally graded thick hollow cylinder with temperature-dependent material properties

Manthena, V. R.; Kedar, G. D.

doi:10.1080/01495739.2017.1402669

Cited by 19 publications

(10 citation statements)

References 19 publications

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“…Hence, as a limiting case if we consider conditions (34) and the heat conduction Eq. (1) without internal heat generation, the temperature distribution and its graph obtained so well agrees with our paper [31].…”

Section: Validation Of the Resultssupporting

confidence: 91%

“…Moosaie, Nikolarakis, Eraslan, Raocha [18,19,20,22] studied thermoelastic problems on circular bodies. Manthena et al [21,23,24,28,30,31] developed mathematical models of thermoelasticity for rectangular plates and hollow circular cylinders. Bhad, Surana, Tripathi, Köbler [25,26,27,29] studied thermal stresses in elliptical and cylindrical bodies.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, we have extended our own work Manthena and Kedar [31] by considering internal heat generation in the heat conduction equation and studied a transient thermoelastic problem of a thick hollow cylinder, occupying the space defined as h z b r a     0 , , subjected to instantaneous point heat source. All the material properties except Poisson's ratio are assumed to be dependent on both temperature and spatial variablez.…”

Section: Introductionmentioning

confidence: 99%

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Mathematical Modeling of Thermoelastic State of a Functionally Graded Thermally Sensitive Thick Hollow Cylinder With Internal Heat Generation

Manthena¹,

Kedar²

2018

International Journal of Thermodynamics

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In this paper, the effect of internal heat generation has been studied in a functionally graded (FG) thick hollow cylinder in context with thermosensitive thermoelastic properties. Initially, the cylinder is kept at reference temperature and the radial boundary surface under consideration dissipates heat by convection according to Newton's law of cooling, heat flux is applied at the lower surface, while the upper surface is insulated. The heat conduction equation due to internal heat generation is solved by integral transform technique and Kirchhoff's variable transformation is used to deal with the nonlinearity of the heat conduction equation. A mathematical model has been constructed for a nonhomogeneous material in which the material properties are assumed to be dependent on both temperature and spatial variable z. A ceramic-metal-based FG material is considered in which alumina is selected as ceramic and nickel as metal. The results obtained are illustrated graphically.

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Section: Validation Of the Resultssupporting

confidence: 91%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Mathematical Modeling of Thermoelastic State of a Functionally Graded Thermally Sensitive Thick Hollow Cylinder With Internal Heat Generation

Manthena¹,

Kedar²

2018

International Journal of Thermodynamics

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“…Researchers [16,17] have analysed thermo-mechanical stresses in a functionally graded rotating disk and it is observed that a disk made up of functionally graded material is a better option than composite materials. An FGM hollow cylinder formed of alumina (ceramic) and nickel (metal) is studied as an unsteady state thermo-mechanical problem due to the change in point heat source subjected to convective heat transfer [18]. The optimization of several functionally graded structures, such as rotating disk, tubes, plates, spheres and cylinders, are discussed by Nikbakht et al [19].…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Stresses in Functionally Graded HCS-MgO Cylinder Using Iterative Technique and Finite Element Method

et al. 2022

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In this study, a thick hollow axisymmetric functionally graded (FG) cylinder is investigated for steady-state elastic stresses using an iteration technique and the finite element method. Here, we have considered a functionally graded cylinder tailored with the material property, namely, Young’s modulus, varying in an exponential form from the inner to outer radius of the cylinder. A mathematical formulation for stress analysis of functionally graded cylinder under internal and external pressure conditions is developed using constitutive relations for stress–strain, strain–displacement relations and the equation of equilibrium. The effect of the in-homogeneity parameter on radial displacement, radial and tangential stresses in a functionally graded cylinder made up of a High Carbon Steel (HCS) metal matrix, reinforced with Magnesium Oxide (MgO) ceramic is analyzed. The iterative method implemented is fast and converges to the solution which can be further improved by considering a higher number of iterations. This is depicted graphically by using radial displacement and stresses in a pressurized functionally graded cylinder obtained for the first two iterations. An iterative solution for non-FGM (or homogeneous material) is validated using the finite element method. The mechanical responses of the functionally graded cylinder obtained from the iterative method and the finite element method are then compared and found to be in good agreement. Results are presented in graphical and tabular form along with their interpretations.

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“…They graded the beams functionally in one direction and assumed that the material properties changed depending on the temperature. Manthena and Kedar (2018), investigated the temperature distribution and thermal stress distribution of a functionally graded hollow cylinder with temperature dependent material properties. They solved the two-dimensional transient heat transfer equation under a convective heat transfer condition with a varying point heat source.…”

Section: Introductionmentioning

confidence: 99%

Thermal Residual Stresses Analyses of Two-Dimensional Functionally Graded Circular Plates with Temperature-Dependent Material Properties

Demirbaş¹,

Apalak²

2018

Uluslararası Muhendislik Arastirma Ve Gelistirme Dergisi

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In this study, thermal residual stress analysis of Functionally Graded Circular Plates joined with adhesive (FGCP-A) is presented. Finite difference equations are used in solving Navier's equations of elasticity and heat transfer. The grading along the plate is made along the surface of the plate. Material properties of the plate are investigated depending on the temperature dependent/independent and it is assumed that the temperature independent material properties changed according to the MoriTanaka approach. Grading along the plate is made in both radial and angular directions. In this study, the effects of temperature dependent/independent material properties and compositional gradient exponents on temperature, equivalent strain and equivalent stress are compared. As a result, when considering the properties of the material depending on the temperature, the temperature, equivalent stress and strain distributions and levels vary considerably. Therefore, the properties of the material dependent on the temperature must be taken into consideration in the analysis of thermal residual stress of materials used as high temperature material.

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Transient thermal stress analysis of a functionally graded thick hollow cylinder with temperature-dependent material properties

Cited by 19 publications

References 19 publications

Mathematical Modeling of Thermoelastic State of a Functionally Graded Thermally Sensitive Thick Hollow Cylinder With Internal Heat Generation

Mathematical Modeling of Thermoelastic State of a Functionally Graded Thermally Sensitive Thick Hollow Cylinder With Internal Heat Generation

Numerical Simulation of Stresses in Functionally Graded HCS-MgO Cylinder Using Iterative Technique and Finite Element Method

Thermal Residual Stresses Analyses of Two-Dimensional Functionally Graded Circular Plates with Temperature-Dependent Material Properties

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