Thermally nonlinear non-Fourier piezoelectric thermoelasticity problems with temperature-dependent elastic constants and thermal conductivity and nonlinear finite element analysis

Abstract

In non-isothermal conditions, numerous experimental and theoretical investigations reveal that the elastic constants and thermal conductivity in piezoelectric solids depend on temperature distribution. This work aims to investigate thermally nonlinear non-Fourier piezoelectric thermoelasticity problems with temperature-dependent elastic constants and thermal conductivity. The nonlinear time-domain finite element method is developed to directly solve nonlinear finite element governing equations, which maximally avoids the precision losses within the applications of the integrated transformation method. As a numerical example, the developed method is applied to analyze nonlinear transient thermo-electromechanical responses of a two-dimensional orthotropic piezoelectric plate of crystal class mm2. The achieved results reveal that temperature-dependent thermal conductivity and elastic constants remarkably affect the structural dynamic responses, whilst thermal wave or elastic wave will travel faster and the electrical energy harvesting ability is significantly elevated.

KEYWORDS:

• Thermally nonlinear
• non-Fourier piezoelectric thermoelastic coupling
• temperature-dependent elastic constants and thermal conductivity
• nonlinear time-domain finite element method
• nonlinear transient thermo-electromechanical responses analysis
• a two-dimensional orthotropic piezoelectric plate of crystal class mm2

Disclosure statement

No potential conflict of interest was reported by the author(s).

Correction Statement

This article has been republished with minor changes. These changes do not impact the academic content of the article.

Additional information

Funding

This work is supported by the National Natural Science Foundation of China (11972176, 12102158), the Young Science and Technology Talents Lift Project of Gansu Province, the Natural Science Foundation of Gansu Province (21JR1RA241), the Opening Project from the State Key Laboratory for Strength and Vibration of Mechanical Structures (SV2019-KF-30, SV2021-KF-20), and Tianyou Youth Talent Lift Program of Lanzhou Jiaotong University.