Conference Proceeding

Mathematics in Space and Applied Sciences (ICMSAS-2023)
ICMSAS-2023

Subject Area: Mathematics
Pages: 331
Published On: 03-Mar-2023
Online Since: 04-Mar-2023

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Author(s): Anita Devi Thakur

Email(s): anitanithamirpur@yahoo.com

Address: Anita Devi Thakur
Vallabh Govt. College Mandi, Himachal Pradesh, India
*Corresponding Author

Published In:   Conference Proceeding, Mathematics in Space and Applied Sciences (ICMSAS-2023)

Year of Publication:  March, 2023

Online since:  March 04, 2023

DOI: Not Available

ABSTRACT:
Analysis of piezothermoelastic materials under different types of loading can provide important information for the designing of piezothermoelectric devices. Due to various applications, an attempt has been made to explore the effects of temperature gradient on the homogeneous, transversely isotropic, linear generalized piezothermoelastic rectangular half-space. The surface of the half-space is considered to be rigidly fixed, charge free and subjected to impact/continuous temperature gradient. The Laplace and Fourier transforms technique have been employed to solve the system of partial differential equations and boundary conditions in the transformed domain. In order to obtain the results in the physical domain, the quadratic complex polynomial characteristic equation has been solved by using DesCartes’ algorithm. The inverse transform integrals are evaluated by using numerical technique consisting of Fourier series approximation and Romberg integration. Numerical results applicable to a cadmium selenide (CdSe) material are presented graphically. A comprehensive analysis and comparison of the results in the context of different models of thermoelasticity has been presented.


Cite this article:
Anita Devi Thakur. Transient Response of Rigidly Fixed Piezothermoelastic Half-Space to a Thermal Source. Proceedings of 2nd International Conference on Mathematics in Space and Applied Sciences. 2023;1:275-282.


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Author/Editor Information

Dr. Sanjay Kango

Department of Mathematics, Neta Ji Subhash Chander Bose Memorial, Government Post Graduate College, Hamirpur Himachal Pradesh-177 005, INDIA