Mechanics of Deformable Solids    
Original article
https://doi.org/10.24866/2227-6858/2022-1/3-16

Shlyakhin D., Savinova E., Yurin V.

DMITRY A. SHLYAKHIN, Doctor of Engineering Sciences, Associate Professor, Head of the Department, d-612-mit2009@yandex.ru, http://orcid.org/0000-0003-0926-7388
ELENA V. SAVINOVA, Senior Lecturer, slenax@yandex.ru, http://orcid.org/0000-0001-7155-2281
VLADIMIR A. YURIN, Engineer, smsm@samgtu.ru
Department of Construction Mechanics, Engineering Geology, Grounds and Foundations
Architecture and Civil Engineering Academy
Samara State Technical University
Samara, Russia

Dynamic problem of thermoelectricity for round rigidly fixed plate

Abstract: А new closed solution of a dynamic axisymmetric problem of thermoelectroelasticity for a round rigidly fixed piezoceramic plate in the case of a temperature load acting on its front surfaces (boundary conditions of the 1st kind) is constructed. The temperature field in the structure is determined based on Lord–Schulman's hyperbolic heat conduction theory, followed by the study of the relevant electroelasticity problem. The design ratio obtained by the method of incomplete separation of variables in the form of finite integral transformations make it possible to determine the temperature and the stress-strain state of the plate in the case of a non-stationary load. The special aspects of the use of the hyperbolic heat conduction theory in piezoceramic plates, as well as the need to consider the inertial properties of an elastic system of various thicknesses, are analyzed.

Keywords: problem of thermoelectroelasticity, piezoceramic round plate, dynamic load, finite integral transformations

See the reference in English at the end of the article

For citation: Shlyakhin D., Savinova E., Yurin V. Dynamic problem of thermoelectricity for round rigidly fixed plate. FEFU: School of Engineering Bulletin. 2022;(50):3-16. (In Russ.). https://doi.org/10.24866/2227-6858/2022-1/3-16