https://stm2.bookpi.org/MMMTWPSA <p>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. </p> <p>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.</p> en-US Mathematical Modeling: Magneto-Thermoelastic Waves Propagation and Some Applications https://stm2.bookpi.org/MMMTWPSA/article/view/285 <p>In this book, an investigation has been made for mathematical modelling: magneto-thermoelastic waves' propagation and some applications in diverse fields as acoustics, aerospace, astronomy, geophysics, earthquakes, volcanoes, engineering and others. The fundamental and basic concepts and equations presented for the electro-thermoelasticity with external effects as gravity, rotation, initial stress and hydrostatic initial stress, as well as two-temperature, voids, diffusion, semiconducting, thermal relaxation times and thermal shock. The dissertation work reported here is originally motivated by several connections between elasticity, thermal field, electromagnetic field, rotation, initial stress, voids, photothermal, semiconducting, and diffusion. The effect of rotation, electromagnetic field, voids, diffusion, semiconducting, and thermal relaxation time will be studied on the waves' propagation (i.e., either waves' propagation "reflection and/or refraction" or "surface waves: Stoneley, Love, and Rayleigh"). Due to the coupling of the equation of motion, heat equation, and void equation in the context of generalised magneto-thermoelasticity, the work done in this field is unfortunately limited in number. The secular equation, Stoneley waves' velocity and attenuation coefficients are affected by the external parameters, such as the magnetic field, rotation, voids, and relaxation time. The finite difference technique under the effectiveness of rotation and decayed heat flux on the obtained components was graphically drawn. Numerical results of the problems solved are displayed by sample graphs.</p> Professor Elsayed Mohamed Abo-Dahab Khedary Copyright (c) 2025 Author(s). The licensee is the publisher (BP International). 2025-08-12 2025-08-12 1 86 10.9734/bpi/mono/978-81-989994-3-6