The axisymmetric problem of thermoelasticity of a multilayer thermosensitive tube

Popovich, V. S.; Fedai, B. N.

doi:10.1007/bf02356105

Cited by 12 publications

(6 citation statements)

References 2 publications

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“…Using the continuity conditions (46) Considering a specific numerical example, we assume a multilayered tube, consisting of steel and aluminum alloy. Their properties are presented in Table 1 (Popovich and Fedai, 1997). We assume the same volume fractions for the two materials.…”

Section: Mechanical Partmentioning

confidence: 99%

Effective thermoelastic properties of composites with periodicity in cylindrical coordinates

Chatzigeorgiou

Efendiev

Charalambakis

et al. 2012

International Journal of Solids and Structures

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a b s t r a c tThe aim of this work is to study composites that present cylindrical periodicity in the microstructure. The effective thermomechanical properties of these composites are identified using a modified version of the asymptotic expansion homogenization method, which accounts for unit cells with shell shape. The microscale response is also shown. Several numerical examples demonstrate the use of the proposed approach, which is validated by other micromechanics methods.

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Section: Mechanical Partmentioning

confidence: 99%

Effective thermoelastic properties of composites with periodicity in cylindrical coordinates

Chatzigeorgiou

Efendiev

Charalambakis

et al. 2012

International Journal of Solids and Structures

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“…taking 0 Figs. (7)(8)(9) represent the variation of dimensionless stresses along x-axis. In the homogeneous case, the stress components…”

Section: Thermoelastic Analysismentioning

confidence: 99%

“…The theory of fractional calculus and its application is investigated by many researchers [5][6][7][8]. Heat conduction problems and their thermoelastic effect in thermosensitive bodies was discussed by [9][10]. Luchko and Gorenflo [11] introduced the operational method to obtain an exact solution of fractional differential equation of initial value problem.…”

Section: Introductionmentioning

confidence: 99%

Fractional order heat conduction and thermoelastic response of a thermally sensitive rectangular parallelopiped

Srinivas

Manthena²,

BİKRAM

et al. 2021

International Journal of Thermodynamics

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In the present paper, the problem of finite dimensional rectangular parallelepiped in isotropic thermoelastic medium with convective type heating is considered. The heat conduction equation (HCE) of the region is described by time HC of fractional order with Caputo derivative form. The non-linear form of heat conduction equation is converted to linear form with Kirchhoff's transformation. Integral transform technique is used to deal with the spatial variables and Laplace transform technique is used to deal with Caputo type time fractional derivative. Inverse Laplace transform and inverse finite Fourier transform are employed to expose the solution in the transformed domain. Numerical results are obtained for temperature distribution, deflection, stress resultants and thermal stress distribution for different values of time fractional order parameter. These results are presented graphically and discussed for various values of time fractional parameters. The obtained results show significant influence of the time fractional order derivative on the temperature as well as stress distribution. Thermosensitivity plays a vital role in the analysis of any real thermoelastic problems and one should consider their effect while dealing with materials in high temperature environment.

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“…Tang, Hata, Noda et al [1][2][3][4]7] obtained the solution of thermal-stress distribution in a nonhomogeneous medium and discussed thermoelastic problems in materials with temperature dependent properties in various solids. Popovych et al [5,6] constructed solutions of heatconduction problems for thermosensitive bodies with convective heat transfer using analytical-numerical methods. Miyamoto et al and Mahamood et al [8,16] briefly explained the design, processing and applications of FGMs.…”

Section: Introductionmentioning

confidence: 99%

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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The axisymmetric problem of thermoelasticity of a multilayer thermosensitive tube

Cited by 12 publications

References 2 publications

Effective thermoelastic properties of composites with periodicity in cylindrical coordinates

Effective thermoelastic properties of composites with periodicity in cylindrical coordinates

Fractional order heat conduction and thermoelastic response of a thermally sensitive rectangular parallelopiped

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

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