Techno Press
You logged in as Techno Press

Steel and Composite Structures
  Volume 45, Number 4, November25 2022 , pages 535-546
DOI: https://doi.org/10.12989/scs.2022.45.4.535
 


Thermo-mechanical response of size-dependent piezoelectric materials in thermo-viscoelasticity theory
Magdy A. Ezzat and Zeid I.A. Al-Muhiameed

 
Abstract
    The memory response of nonlocal systematical formulation size-dependent coupling of viscoelastic deformation and thermal fields for piezoelectric materials with dual-phase lag heat conduction law is constructed. The method of the matrix exponential, which constitutes the basis of the state-space approach of modern control theory, is applied to the non-dimensional equations. The resulting formulation together with the Laplace transform technique is applied to solve a problem of a semiinfinite piezoelectric rod subjected to a continuous heat flux with constant time rates. The inversion of the Laplace transforms is carried out using a numerical approach. Some comparisons of the impacts of nonlocal parameters and time-delay constants for various forms of kernel functions on thermal spreads and thermo-viscoelastic response are illustrated graphically.
 
Key Words
    dual-phase lag; laplace transform; memory-dependent derivative; size-dependent thermo-viscoelastic coupling; thermo-piezoelectricity
 
Address
Magdy A. Ezzat:1)Department of Mathematics, College of Science and Arts, Qassim University, Al Bukairyah, Saudi Arabia
2)Department of Mathematics, Faculty of Education, Alexandria University, Alexandria, Egypt

Zeid I.A. Al-Muhiameed:Department of Mathematics, Faculty of Science, Qassim University, Buraydah 51452, Saudi Arabia
 

Techno-Press: Publishers of international journals and conference proceedings.       Copyright © 2024 Techno Press
P.O. Box 33, Yuseong, Daejeon 305-600 Korea, Tel: +82-42-828-7996, Fax : +82-42-828-7997, Email: admin@techno-press.com