Coupled Thermoelasticity of an Axially Symmetric Cylindrical Shell

Eslami, M. R.; Shakeri, M.

doi:10.1080/01495739408946250

Cited by 18 publications

(11 citation statements)

References 6 publications

(9 reference statements)

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“…The results are reduced to the shell with isotropic material using the classical model of thermoelasticity and validated with the known data in the literature [10]. Also, the results are reduced to the shell with isotropic material using the Lord-Shulman generalized model of thermoelasticity and validated with the known data in the literature [11].…”

Section: Energy Equationmentioning

confidence: 98%

Generalized coupled thermoelasticity of functionally graded cylindrical shells

Bahtui

Eslami

2006

Numerical Meth Engineering

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SUMMARYIn this paper, the response of a circular cylindrical thin shell made of the functionally graded material based on the generalized theory of thermoelasticity is obtained. The governing equations of the generalized theory of thermoelasticity and the energy equations are simultaneously solved for a functionally graded axisymmetric cylindrical shell subjected to thermal shock load. Thermoelasticity with second sound effect in cylindrical shells based on the Lord-Shulman model is compared with the Green-Lindsay model. A second-order shear deformation shell theory, that accounts for the transverse shear strains and rotations, is considered. Including the thermo-mechanical coupling and rotary inertia, a Galerkin finite element formulation in space domain and the Laplace transform in time domain is used to formulate the problem. The inverse Laplace transform is obtained using a numerical algorithm. The shell is graded through the thickness assuming a volume fraction of metal and ceramic, using a power law distribution. The effects of temperature field for linear and non-linear distributions across the shell thickness are examined. The results are validated with the known data in the literature.

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Section: Energy Equationmentioning

confidence: 98%

Generalized coupled thermoelasticity of functionally graded cylindrical shells

Bahtui

Eslami

2006

Numerical Meth Engineering

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“…Eslami et al (1994) presented the coupled thermoelasticity solution of a long circular cylindrical thin shell. They used a linear temperature distribution across the thickness of the shell, employing the classical coupled theory of thermoelasticity.…”

Section: Introductionmentioning

confidence: 99%

Coupled thermoelasticity of functionally graded cylindrical shells

Bahtui

Eslami

2007

Mechanics Research Communications

109

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“…The variational approach, which for elastic continuum is based on the extremum of the total potential and kinetic energies, has deficiencies in handling coupled thermoelasticity problems due to the controversial functional relation of the first law of thermodynamics. On the other hand, the weighted residual method based on the Galerkin technique, which is directly applied to the governing equations, is quite efficient and has a very high rate of convergence [1][2][3][4]. …”

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confidence: 99%

Coupled Thermoelasticity

Eslami

2014

Finite Elements Methods in Mechanics

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The problems of coupled linear thermoelasticity are among those classes of mechanics which seldom have analytical solution even for simple structures such as beams and rods. Therefore, finite element method is one of the most reliable numerical methods to handle the solution of structural members. The chapter begins with the Galerkin method to obtain the finite element equations of the coupled problems for general three-dimensional case. The members of each related matrice in the resulting finite element equations are calculated and given. The method is then applied to a number of problems. The function-ally graded layer under thermal shock load is analyzed in the next section. Thick spherical vessels under radially symmetric thermal shock load applied to its inside surface is dis-cussed in the next section. The coupled thermoelastic equations for an axisymmetrically loaded disk with different approximation orders is presented in the last section. Elements with various orders are employed to investigate the effects of the number of nodes in an element IntroductionDue to the mathematical complexities encountered in the analytical treatment of coupled thermoelasticity problems, the finite element method is often preferred. The finite element method itself is based on two entirely different approaches: the variational approach based on the Ritz method, and the weighted residual methods. The variational approach, which for elastic continuum is based on the extremum of the total potential and kinetic energies, has deficiencies in handling coupled thermoelasticity problems due to the controversial functional relation of the first law of thermodynamics. On the other hand, the weighted residual method based on the Galerkin technique, which is directly applied to the governing equations, is quite efficient and has a very high rate of convergence [1][2][3][4].

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Coupled Thermoelasticity of an Axially Symmetric Cylindrical Shell

Cited by 18 publications

References 6 publications

Generalized coupled thermoelasticity of functionally graded cylindrical shells

Generalized coupled thermoelasticity of functionally graded cylindrical shells

Coupled thermoelasticity of functionally graded cylindrical shells

Coupled Thermoelasticity

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