Three-dimensional thermal shock plate problem within the framework of different thermoelasticity theories

Zenkour, Ashraf M.

doi:10.1016/j.compstruct.2015.07.013

Cited by 36 publications

(10 citation statements)

References 25 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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“…Abbas [1] has established a 3-D model of the generalized thermoelasticity without energy dissipation under temperature-dependent mechanical properties. Recently, Zenkour [26] has presented a unified generalized thermoelasticity theory for the transient thermal shock plate problem in the context of G-L, L-S, and CTE theories.…”

Section: Introductionmentioning

confidence: 99%

Two-Dimensional Coupled Solution for Thermoelastic Beams via Generalized Dual-Phase-Lags Model

Zenkour

2016

Mathematical Modelling and Analysis

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The generalized thermoelastic problem of a thick-walled simply-supported beam subjected to different applied heat source and mechanical loads at its surfaces is studied. The thermoelastic coupling differential equations of motion of the beam are established. The generalized thermoelasticity based on the dual-phase-lags (DPLs) theory is considered to treat this problem. An exact 2-D coupled solution is presented to deduce analytical expressions for the temperature, displacements and stresses. The time-harmonic motion behavior as well as the thermal and mechanical conditions at the bounded faces of the beam is used for this purpose. The effect of the DPLs on the field quantities against the axial and normal directions of the beam under thermomechanical loads is discussed. Final investigations to various thermoelastic models are made.

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“…Green and Lindsay [4] developed a theory that contains two constants times that act as relaxation times and modifies not the heat conduction equation only but also all the equations of the coupled theory. Zenkour [5] presented a comparison between various generalized thermoelasticity theories to discuss three-dimensional thermal shock plate problem. Zenkour [6][7][8] restricts his attention to the theory of Green and Naghdi of type III to deal with nano-machined beam resonators subjected to various boundary conditions and those resting on visco-Pasternak's foundations.…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic Interactions in a Rotating Infinite Orthotropic Elastic Body with a Cylindrical Hole and Variable Thermal Conductivity

Mashat

Zenkour

Abouelregal

2017

Archive of Mechanical Engineering

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In the present article, we introduced a new model of the equations of generalized thermoelasticity for unbounded orthotropic body containing a cylindrical cavity. We applied this model in the context of generalized thermoelasticity with phase-lags under the effect of rotation. In this case, the thermal conductivity of the material is considered to be variable. In addition, the cylinder surface is traction free and subjected to a uniform unit step temperature. Using the Laplace transform technique, the distributions of the temperature, displacement, radial stress and hoop stress are determined. A detailed analysis of the effects of rotation, phase-lags and the variability thermal conductivity parameters on the studied fields is discussed. Numerical results for the studied fields are illustrated graphically in the presence and absence of rotation.

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Three-dimensional thermal shock plate problem within the framework of different thermoelasticity theories

Cited by 36 publications

References 25 publications

Thermoelastic Analysis of Functionally Graded Cylindrical Panels with Piezoelectric Layers

Thermoelastic Analysis of Functionally Graded Cylindrical Panels with Piezoelectric Layers

Two-Dimensional Coupled Solution for Thermoelastic Beams via Generalized Dual-Phase-Lags Model

Thermoelastic Interactions in a Rotating Infinite Orthotropic Elastic Body with a Cylindrical Hole and Variable Thermal Conductivity

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