Analysis of vibrations of electro-magneto transversely isotropic thermoelastic materials with voids

Abstract

In the present scenario of Science and Technology, materials play the most significant role in different types of mathematical applications to develop different mathematical models. There exist an infinite number of very minute particles which possesses space and dimensions in static and dynamic bodies. By virtue of intermolecular forces, these particles occupy shape and size due to action of forces. Hence, a large number of particles exist in a body, if there is a very small distance between the two neighboring particles as compared to the total dimension of the body, known as continuum body state. In engineering, the materials used are single crystals and polycrystalline type solids, having controlled purity. In last decade, very important solutions were obtained from thermoelastic and generalized thermoelastic contact problems, where the distribution of the stresses has been improved which is caused by the frictional heat generation. In most structural components, different types of engineering materials and their vibrations have many practical applications such as in geophysics, aerospace and navigations.