Department of Mathematics

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Browsing Department of Mathematics by Author "Parasar, Hemanga Jyoti"

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    Mathematical Study on Wave Reflection in Graded Electro-elastic Waveguide
    (Department of Mathematics, NITS, 2025) Parasar, Hemanga Jyoti
    The incidence of quasi-P (qP) wave on a waveguide made of pre-stressed electro-elastic material with rigid boundary surface is studied in this work to determine how elastic waves are reflected. For reflected qP, quasi-SV (qSV) and electro-acoustic (EA) waves, closed form expressions for the reflection coefficients (RCs) are obtained by introducing suitable mechanical and electrical boundary conditions. Furthermore, functional grading and material rotation are taken into account as well. The dissertation consists of two chapters, outlined as follows: • In the introductory chapter, Chapter 1, important ideas related to wave reflection are defined and explained. It covers the fundamental ideas that are important to this in vestigation, such as the effects of pre-stress, electro-elastic materials, and elastic wave reflection. It also investigates how these waves behave at rigid boundary surfaces. Addi tionally, the chapter introduces the role of functionally graded materials and the influence of rotational motion on wave propagation. • Elastic wave reflection in a rotating graded electro-elastic waveguide is the primary focus of Chapter 2. It provides a thorough articulation of the problem, taking into account the complications brought out by rotational motion and functional grading. The chapter gives the analytical solution of the wave equations under the boundary conditions that correspond to a rigid surface. The RCs for the reflected waves, resulting from the inci dence of elastic waves on the rigid boundary, are derived and discussed. Furthermore, a number of particular instances are examined to establish the dependency of various physical parameters on RCs.