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Coupled Thermoelasticity of Shells of Revolution: Effect of Normal Stress and Coupling

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TLDR
In this paper, the coupled thermoelasticity of shells of revolution, based on second-order shell theory, is considered, and the governing equations including normal stress and strain as well as the transverse shear and rotary inertia are considered.
Abstract
The coupled thermoelasticity of shells of revolution, based on second-order shell theory, is considered, and the governing equations including normal stress and strain as well as the transverse shear and rotary inertia are considered. The coupled energy equation based on the assumption of Lord and Shulman (Lord, H. W., and Shulman, Y., A Generalized Dynamical Theory of Thermoelasticity,' Journal of Mechanics and Physics of Solids, Vol. 15, No. 5, 1967, pp. 299-309) is further considered, and the total system of equations is solved by means of Galerkin finite element method. It is concluded that the inclusion of normal stress in the coupled equation is significant and for thin shells can result in a noticeable difference in shell response compared to unassumed conditions.

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Coupled thermoelasticity of functionally graded cylindrical shells

TL;DR: In this paper, the coupled thermo-mechanical and energy equations for a functionally graded axisymmetric cylindrical shell subjected to thermal shock load were simultaneously solved for a functional graded axismmetric shell.
Journal ArticleDOI

Coupled thermoelasticity of FGM annular plate under lateral thermal shock

TL;DR: In this article, the response of an FGM annular plate under lateral thermal shock load was investigated using the first order shear deformation plate theory and the governing equations were solved using the Laplace transformation and Galerkin finite element method.
Journal ArticleDOI

On problem of transient coupled thermoelasticity of an annular fin

TL;DR: In this article, a numerical technique is proposed to obtain the solution of the transient coupled thermoelasticity in an annular fin cylinder with it's base suddenly subject to a heat flux of a decayed exponential function of time.
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Coupled Thermoelasticity of Functionally Graded Beams

TL;DR: In this paper, a finite element solution of an Euler-Bernoulli beam with functionally graded material (FGM) subjected to lateral thermal shock loads is presented, where the material properties across the thickness direction follow the volume fraction of the constitutive materials in power law form.
References
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Journal ArticleDOI

A generalized dynamical theory of thermoelasticity

TL;DR: In this article, a generalized dynamical theory of thermoelasticity is formulated using a form of the heat transport equation which includes the time needed for acceleration of heat flow.
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A Computationally viable higher‐order theory for laminated composite plates

TL;DR: In this paper, a variational higher-order theory involving all transverse strain and stress components is proposed for the analysis of laminated composites plates, which is well studied for finite element approximations as it incorporates both C0 and C-1 continuous kinematic fields and Poisson boundary conditions.
Journal ArticleDOI

Thermal shock in a hollow sphere caused by rapid uniform heating

TL;DR: In this article, the dynamic thermoelastic problem in a sphere is decomposed into a particular form of dynamic stress problem corresponding to the thermo-elastic displacement potential and a homogeneous form corresponding to stress functions.
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Quasi-static coupled problems of thermoelasticity for cylindrical regions

TL;DR: In this paper, the one-dimensional axisymmetric quasi-static coupled thermoelastic problem is investigated and the general solutions of its governing equations are obtained in the transform domain.
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