Thermoelastic Analysis of Functionally Graded Cylindrical Panels with Piezoelectric Layers

Abstract

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.

Dynamic and Vibration Analysis of Nano-Composite Hollow Cylindrical with Piezoelectric Layers in thermal load by DQM Method

“…In this respect, T1 and T0 are functions to be obtained from the equation system and Cv is the specific heat capacity per unit volume. The Galerkin method is used to obtain two non-dependent equations of thermal conductivity of the shell from Equation (12) and with its average at z-shell thickness, assuming a linear distribution in the shell thickness given by Equation (13). The two variables T1 and T0 fall into the energy equations.…”

“…Heydarpour et al [12] a coupled thermo-elastic 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 studied. [13] the vibrational and dynamic response of the cylindrical shell of a nanocomposite under heat shock using the DQM method investigated.…”

Functionally Graded Piezoelectric Medium Exposed to a Movable Heat Flow Based on a Heat Equation with a Memory-Dependent Derivative

“…One of the most important physical properties of functionally graded material (FGM) is that they work under very high thermal conditions, which in turn may lead to vibratory motion, particularly when exposed to an unexpected change in thermal conditions [2]. In addition to the above, mechanical behavior and control of material vibration can be improved further by presenting piezoelectric layers onto their internal or/and external surfaces [3]. These novel nonhomogeneous materials have excellent thermo-mechanical properties and have broad applications to vital structures, for example, atomic reactors, pressure vessels, chemicals plants, aviation, and channels, and so on.…”

Nonlinear magneto-thermo-elastic vibration of mass sensor armchair carbon nanotube resting on an elastic substrate

“…In a similar directions moves the work by Benzair et al [26], where a nonlocal Timoshenko beam theory was employed to analyze the thermal sensitivity of SWCNTs, whose vibration response was compared to predictions based on a nonlocal Euler beam model. For further studies on the coupled vibration of CNTs based on a nonlocal elasticity, the reader is referred to [27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45].…”