A new constitutive theory of nonlocal piezoelectric thermoelasticity based on nonlocal single-phase lag heat conduction and structural transient thermo-electromechanical response of piezoelectric nanorod

Abstract

Thermo-electromechanical coupling analysis at micro and nano temporal and spatial scales becomes significantly important with extensive application of ultrafast heating technology to micro/nano-machining and manufacturing of piezoelectric micro/nano-devices, where the size effects in heat conduction and elastic deformation remarkably increase. This article aims to establish a new nonlocal piezoelectric thermoelasticity theory based on newly developed model of Eringen-type nonlocal single-phase-lag heat conduction via Eringen’s nonlocal continuum mechanics. The proposed model is applied to analyze the thermo-electromechanical responses of piezoelectric nanorod by Laplace transformation technique. The effects of nonlocal characteristic lengths on wave propagations and structural transient response are evaluated and discussed.

Keywords:

• Nonlocal thermo-electromechanical coupling
• Eringen-type nonlocal single-dual-phase-lag heat conduction
• Eringen nonlocal elastic stress field model
• structural dynamic response analysis
• piezoelectric nanorod

Disclosure statement

We declare that we have no conflict of interest.

Additional information

Funding

This work is supported by the Special Funds for Guiding Local Scientific and Technological Development by The Central Government (22ZY1QA005), National Natural Science Foundation of China (11972176, 12362014), Young Science and Technology Talents Lift Project of Gansu Province, Natural Science Foundation of Gansu Province (21JR1RA241), Young Doctoral Fund Project of Higher Education Institutions of Gansu Province (2022QB-066), Basic Research Innovation Group Project of Gansu Province (21JR7RA347), Key research and development plan of Ningxia (2022BEG02056), 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.