A problem in generalized thermoelasticity for an infinitely long annular cylinder

Sherief, Hany H.; Anwar, M. Naim

doi:10.1016/0020-7225(88)90079-1

Cited by 47 publications

(22 citation statements)

References 5 publications

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“…This method has been successfully used in solving many problems in the theory of thermoelasticity (see e.g. (Sherief and Megahed (1999)) , (Sherief and Anwar (1988))…”

Section: Solution In the Laplace Transform Domainmentioning

confidence: 99%

Modeling of Variable Lamé's Modulii for a FGM Generalized Thermoelastic Half Space

Sherief

El-Latief

2016

Lat. Am. j. solids struct.

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In this work we consider a problem in the context of the generalized theory of thermoelasticity for a half space. The material of the half space is functionally graded in which Lamé's modulii are functions of the vertical distance from the surface of the medium. The surface is traction free and subjected to a time dependent thermal shock. The problem was solved by using the Laplace transform method together with the perturbation technique. The obtained results are discussed and compared with the solution when Lamé's modulii are constants. Numerical results are computed and represented graphically for the temperature, displacement and stress distributions.

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“…This method has been successfully used in solving many problems in the theory of thermoelasticity (see e.g. (Sherief and Megahed (1999)) , (Sherief and Anwar (1988))…”

Section: Solution In the Laplace Transform Domainmentioning

confidence: 99%

Modeling of Variable Lamé's Modulii for a FGM Generalized Thermoelastic Half Space

Sherief

El-Latief

2016

Lat. Am. j. solids struct.

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“…are being carried out [18][19][20][21][22][23][24] by taking into account the temperature dependent properties of the medium. Two different problems in generalized thermoelasticity for an infinitely long annular cylinder with constant material properties were studied by Sherief and Anwar [25,26].…”

Section: Solution Of a Problem Of Generalized Thermoelasticity Of An mentioning

confidence: 99%

“…Now using equation (25) (21) and (22) and get the equations satisfied by n m u and θ n m for the first level of t (n = 0) as (26) .. …”

Section: Solution Of the Problemmentioning

confidence: 99%

Solution of a Problem of Generalized Thermoelasticity of an Annular Cylinder with Variable Material Properties by Finite Difference Method

Mukhopadhyay¹,

Kumar²

2009

CMST

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Abstract:The present work deals with a new problem of generalized thermoelasticity with one relaxation time for an infinitely long and isotropic annular cylinder of temperature dependent physical properties. The inner and outer curved surfaces of the cylinder are subjected to both the mechanical and thermal boundary conditions. A finite difference model is developed to derive the solution of the problem in which the governing equations are coupled non linear partial differential equations. The transient solution at any time can be evaluated directly from the model. In order to demonstrate the efficiency of the present model we consider a suitable material and obtain the numerical solution of displacement, temperature, and stresses inside the annulus for both the temperature-dependent and temperature-independent material properties of the medium. The results are analyzed with the help of different graphical plots.

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“…Kandil [8] studied the effect of steady-state temperature and pressure gradient on compound cylinders fitted together by shrink fit. Sherief and Anwar [9] discussed the problem of an infinitely long elastic circular cylinder whose inner and outer surfaces are subject to known temperature and traction free. Yang and Chen [10] discussed the transient response of one-dimensional quasi-static coupled thermoelasticity problems of an infinitely long annular cylinder composed of two different materials.…”

Section: Introductionmentioning

confidence: 99%

Transient response of multilayered hollow cylinder using various theories of generalized thermoelasticity

Mashat¹,

Zenkour²,

Elsibai³

2010

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The present paper deals with thermoelastic problems of finitely long hollow cylinder composed of two different materials with axial symmetry. The medium is traction-free, with negligible body forces and with internal and external heat generations. The governing equations for different theories of the generalized thermoelasticity are written in terms of displacement and temperature increment. The exact solution of the problem, using different theories of generalized thermoelasticity, has been deduced. The analytical expressions for displacements, temperature and stresses are found in final forms, and a numerical example has been taken to discuss the effect of the relaxation times. Finally, the results have been illustrated graphically to find the responses of different theories.

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A problem in generalized thermoelasticity for an infinitely long annular cylinder

Cited by 47 publications

References 5 publications

Modeling of Variable Lamé's Modulii for a FGM Generalized Thermoelastic Half Space

Modeling of Variable Lamé's Modulii for a FGM Generalized Thermoelastic Half Space

Solution of a Problem of Generalized Thermoelasticity of an Annular Cylinder with Variable Material Properties by Finite Difference Method

Transient response of multilayered hollow cylinder using various theories of generalized thermoelasticity

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