Three-dimensional analysis for transient coupled thermoelastic response of a functionally graded rectangular plate

Zhou, Fengxi; Liu, Shirong; Lai, Yuanming

doi:10.1016/j.jsv.2011.03.015

Cited by 40 publications

(11 citation statements)

References 32 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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“…Based on the hybrid numerical method (HNM) combining with a reduced-basis method (RBM), Huang and Huang 25 investigated the real-time transient vibration of FGM plates. Zhou et al 26 studied the transient thermoelastic response of FG rectangular plates by utilising state space approach, numerical Laplace transformations and shooting methods. Nezhadi et al 27 studied the response of FG shells with impulse loads by integrating the Hamilton's principle and Rayleigh-Ritz method.…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional semi-analytical solutions for the transient response of functionally graded material cylindrical panels with various boundary conditions

Liang

Deng

Jiang

et al. 2019

Journal of Low Frequency Noise, Vibration and Active Control

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In this paper, a 3D semi-analytical method is proposed by introducing the Durbin's Laplace transform, as well as its numerical inversion method, state space approach and differential quadrature method to analyse the transient behaviour of functionally graded material cylindrical panels. Moreover, to investigate the effectiveness of the proposed semianalytical solution, four boundary conditions are used to undertake the analyses. Comparing the proposed approach with other theoretical methods from the literatures, we see better agreements in the natural frequencies. Besides, the semi-analytical solution acquires nearly the same transient response as those obtained by ANSYS. Convergence studies indicate that the proposed method has a quick convergence rate with growing sample point numbers along the length direction, so do layer numbers increase along the radial direction. The effects of thickness/outer radius ratio, length/outer radius ratio and functionally graded indexes are also studied. When carbon nanotube is added to functionally graded material cylindrical panel, the composite structures have been reinforced greatly. The proposed 3D semi-analytical method has high accuracy for the analysis of composite structures. This study can serve as a foundation for solving more complicated environments such as fluid-structure interaction of flexible pipe or thermal effect analysis of functionally graded material in aerospace field.

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“…Prasad et al [17] have dealt with the investigation of the propagation of harmonic plane waves with assigned frequency by employing the thermoelasticity theory with dual-phase-lags. Zhou et al [29] have investigated the generalized coupled thermoelasticity based on the L-S theory by considering the transient thermoelastic response of functionally graded rectangular plates. Hyperbolic heat conduction problem is solved numerically byČiegis [4].…”

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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Three-dimensional analysis for transient coupled thermoelastic response of a functionally graded rectangular plate

Cited by 40 publications

References 32 publications

Thermoelastic Analysis of Functionally Graded Cylindrical Panels with Piezoelectric Layers

Thermoelastic Analysis of Functionally Graded Cylindrical Panels with Piezoelectric Layers

Three-dimensional semi-analytical solutions for the transient response of functionally graded material cylindrical panels with various boundary conditions

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

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