Thermally nonlinear generalized thermoelasticity: a note on the thermal boundary conditions

Bateni, M.; Eslami, Mohammad H.

doi:10.1007/s00707-017-2001-6

Cited by 9 publications

(2 citation statements)

References 52 publications

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“…In Cartesian coordinate system, the energy equation associated with linear dynamic coupled thermoelasticity using indicial notation and summation convention is as ( 8) [18]. For more information on the linear dynamic coupled thermoelasticity see [19,20].…”

Section: Energy Equationsmentioning

confidence: 99%

Dynamic coupled thermoelastic response of thin spherical shells

Amiri¹,

Bateni²,

Eslami³

2019

JSEAM

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This work presents the dynamic coupled thermoelastic response of thin spherical shells subjected to a transverse thermal shock. The shell under investigation is assumed to be sufficiently thin to neglect the curvature effect through the thickness. Also, the shell is considered to be constituted from homogenous and isotropic material. The Hooke and Fourier laws, respectively, are considered to govern the mechanical and thermal behavior of the constituent material. Under the applied load, it is assumed that the displacements of the shell remain in the infinitesimal range. Hamilton's principle is utilized for derivation of governing equations of motion for the shell. For thermal part of the problem, the two-dimensional coupled energy equation is assumed to govern the temperature field in the shell. Applying the Galerkin method in thickness direction of the shell, two-dimensional energy equation is reduced to two one-dimensional ones in meridian direction of the shell. To solve the fully coupled motion and energy equations, the finite element method is used for spatial discretization, and the Newmark method is used for temporal discretization. A validation case study is conducted by comparing the results of the present work and those which is obtained by the ABAQUS software.

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Section: Energy Equationsmentioning

confidence: 99%

Dynamic coupled thermoelastic response of thin spherical shells

Amiri¹,

Bateni²,

Eslami³

2019

JSEAM

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“…The papers [28,29] are devoted to solving elasticity problems for bodies with their proper weight. In paper [30] the authors investigated the propagation of thermoelastic waves through the layers and analyzed the importance of thermally nonlinear generalized thermoelastic analysis. In [31] the size-dependent quality factor of thermoelastic damping in a microbeam resonator, based on modified strain gradient elasticity was analyzed.…”

Section: Introductionmentioning

confidence: 99%

An uncoupled thermoelasticity problem for a semi-infinite layer with regard of its proper weight

Fesenko

Vaysfeld²

2019

Frattura Ed Integrità Strutturale

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The exact solution of the uncoupled thermoelasticity problem for a semi-infinite elastic layer with regard to its proper weight was constructed. The originality of the proposed paper is based on reducing Lame equations to two jointly and one separately, solvable equations. It allows the application of integral transformations directly to the transformed equations of equilibrium and makes it possible to reduce the initial problem to a one-dimensional vector boundary problem. A special technique is given to calculate multiple integrals containing oscillating functions that appear during the inversion of the transforms. The character of the temperature and proper weight influence on the value of normal stress on the lateral face of the semi-infinite layer, the zone of tensile stress depending on the shapes of the distributed load section and the temperature and Poisson's ratio is established. The parameters of dimensionless mechanical load and temperature, when the separation of the side wall of the semi-infinite layer can be eliminated, were established. A study of the influence of the layer's proper weight on the stress emerging on the layer's edge is conducted. The constructed exact solution can be used as a model for solving a similar class of problems by numerical methods.

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Finite and Boundary Element Methods

Hetnarski

Eslami

2019

Solid Mechanics and Its Applications

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Thermally nonlinear generalized thermoelasticity: a note on the thermal boundary conditions

Cited by 9 publications

References 52 publications

Dynamic coupled thermoelastic response of thin spherical shells

Dynamic coupled thermoelastic response of thin spherical shells

An uncoupled thermoelasticity problem for a semi-infinite layer with regard of its proper weight

Finite and Boundary Element Methods

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