Thermoelastic Analysis of Functionally Graded Cylindrical Panels with Piezoelectric Layers

Yasin Heydarpour,Francesco Tornabene,Rossana Dimitri,Parviz Malekzadeh

doi:10.3390/app10041397

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.

Highlights

Graded (FG) cylindrical panels are largely used as structural members in many industrial applications such as aerospace vehicles, nuclear equipment, petro-chemical structures, among others
We start this section with a validation of the proposed approach, which is followed by a parametric study that investigates the sensitivity of the thermoelastic response of the panel to the mechanical, thermal, or geometrical input parameters
In thisInpaper, we have proposed thermoelasticity theory of Lord–Shulman and this paper, we have proposeda acoupled coupled thermoelasticity theory of Lord–Shulman and Maxwell’s equation, to examine thermoelastic wave propagation for cylindrical panels with inner

Summary

Introduction

Graded (FG) cylindrical panels are largely used as structural members in many industrial applications such as aerospace vehicles, nuclear equipment, petro-chemical structures, among others. The mechanical behavior and the vibration control of FG cylindrical panels can be improved by introducing piezoelectric layers at their inner and/or outer surfaces This requires an accurate evaluation of the thermoelastic properties of FG cylindrical panels, with attached piezoelectric layers under a thermal shock loading, for design and manufacturing purposes. 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

Methods

Results

Conclusion