Generalized solution of the thermoelastic problem for the axisymmetric structure with temperature-dependent properties

Wang, Y.Z.; Zan, Cheng; Liu, Dong; Zhou, Jing

doi:10.1016/j.euromechsol.2019.05.004

Cited by 17 publications

(2 citation statements)

References 30 publications

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“…Countermeasures against these limitations have encouraged the development of different coupled thermoelasticity theories [1][2][3]. Among them, the Lord and Shulman (L-S) generalized thermoelasticity theory is one of the simplest formulations applied in the literature [4][5][6][7][8][9][10][11][12][13][14], which includes a relaxation time and a coupling between thermal and mechanical energies [1]. In this framework, some interesting thermoelastic studies based on an uncoupled classical thermoelasticity theory of FG cylindrical panels and shells can be found in [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic Analysis of Functionally Graded Cylindrical Panels with Piezoelectric Layers

et al. 2020

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We propose a coupled thermoelastic approach based on the Lord-Shulman (L-S) and Maxwell’s formulations to study the wave propagation in functionally graded (FG) cylindrical panels with piezoelectric layers under a thermal shock loading. The material properties of the FG core layer feature a graded distribution throughout the thickness and vary according to a simple power law. A layerwise differential quadrature method (LW-DQM) is combined with a non-uniform rational B-spline (NURBS) multi-step time integration scheme to discretize the governing equations both in the spatial and time domains. The compatibility conditions of the physical quantities are enforced at the interfaces to describe their structural behavior in a closed form. A validation and comparative analysis with the available literature, together with a convergence study, show the efficiency and stability of the proposed method to handle thermoelastic problems. Numerical applications are herein performed systematically to check for the sensitivity of the thermoelastic response to the material graded index, piezoelectric layer thickness, external electrical voltage, opening angle, and shock thermal loading, which would be very helpful for practical engineering applications.

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Section: Introductionmentioning

confidence: 99%

Thermoelastic Analysis of Functionally Graded Cylindrical Panels with Piezoelectric Layers

et al. 2020

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“…Thermal conductivity is an essential material property that is often assumed to be constant. Several theoretical and experimental studies, however, have shown that thermal conductivity is strongly connected to the temperature change [10][11][12][13][14][15][16][17][18][19]. Othman et al [20] discussed the effect of initial stress and variable thermal conductivity on an unbounded fiber-reinforced thick plate.…”

Section: Introductionmentioning

confidence: 99%

The Effects of Variable Thermal Conductivity in Thermoelastic Interactions in an Infinite Material with and without Kirchhoff’s Transformation

Hobiny

Abbas

2022

Mathematics

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In this paper, the problem of an unbonded material under variable thermal conductivity with and without Kirchhoff’s transformations is investigated. The context of the problem is the generalized thermoelasticity model. The boundary plane of the medium is exposed to a thermal shock that is time-dependent and considered to be traction-free. Because nonlinear formulations are difficult, the finite element method is applied to solve the problem without Kirchhoff’s transformations. In a linear case, when using Kirchhoff’s transformations, the problem’s solution is derived using the Laplace transforms and the eigenvalue approach. The effect of variable thermal conductivity is discussed and compared with and without Kirchhoff’s transformations. The graphical representations of numerical results are shown for the distributions of temperature, displacement and stress

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Nonlinear finite element algorithm for solving fully coupled thermomechanical problems under strong aerothermodynamic environment

Liu

2023

Acta Astronautica

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Generalized solution of the thermoelastic problem for the axisymmetric structure with temperature-dependent properties

Cited by 17 publications

References 30 publications

Thermoelastic Analysis of Functionally Graded Cylindrical Panels with Piezoelectric Layers

Thermoelastic Analysis of Functionally Graded Cylindrical Panels with Piezoelectric Layers

The Effects of Variable Thermal Conductivity in Thermoelastic Interactions in an Infinite Material with and without Kirchhoff’s Transformation

Nonlinear finite element algorithm for solving fully coupled thermomechanical problems under strong aerothermodynamic environment

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