Mathematical Modeling: Magneto-Thermoelastic Waves Propagation and Some Applications

Professor Elsayed Mohamed Abo-Dahab Khedary
Mathematics Department, Faculty of Science, South Valley University, Qena, 83523, Egypt.

SKU: MMMTWPSA Category: Tag:

Book Details

Author(s)

Professor Elsayed Mohamed Abo-Dahab Khedary

Pages

86

Publisher

BP International

Language

English

ISBN-13 (15)

978-81-989994-3-6 (Print)
978-81-989994-2-9 (eBook)

Published

August 12, 2025

About The Author / Editor

Professor Elsayed Mohamed Abo-Dahab Khedary

Mathematics Department, Faculty of Science, South Valley University, Qena, 83523, Egypt.

Magneeto-thermoelasticity is an effective experimental method for analyzing magnetized isotropic materials or orthotropic composites. The technique assesses mechanical reliability by recording the load-induced temperature information with magnetic field and external parameters and relating the information to the stresses or strains in the material by thermodynamic principles. The thermoelastic properties of materials play a crucial role in understanding the response of the crystal structure and the electronic and magnetic structures to pressure and temperature, and often they define the area of applicability of certain materials.

Magneto-thermoelasticity, First Edition reviews advances on thermoelasticity and covers topics ranging from stationary problems of thermoelasticity considering magnetic field, initial stress and also some external parameters to variational theorems of stationary thermoelasticity; stresses due to the action of a discontinuous temperature field in an infinite elastic body; the action of heat sources in the elastic space; and thermal inclusions in an infinite disc and semi-infinite disc. Three different sets of differential equations describing the fields of strain and temperature are presented. This book is comprised of 14 chapters and begins with a discussion on basic relations and equations of thermoelasticity. Magneto-thermoelasticity is treated as a synthesis of the theory of elasticity and the theory of heat conduction. Some particular cases of thermoelasticity are then investigated, including stationary problems, the theory of thermal stresses, and classical dynamic elasticity. Dynamic effects due to the action of a non-stationary temperature field, magnetic field, initial stress and other external parameters are examined, along with plane harmonic waves in an elastic space and thermal stresses in plates, shells, and viscoelastic bodies.