Third Order Compression Dependent Isothermal Equation of State for the Prediction of Elastic Properties of Novel Materials at High Compression

Abstract

newline ABSTRACT newlineName of the student newlineRoll Number newlineDegree newlineThesis title newlineName of the supervisor newlineMonth and year newlineAbhay Prakash Srivastava newline2021078004 newlineDoctor of Philosophy in Physics newlineThird Order Compression Dependent Isothermal Equation of State for the Prediction of Elastic Properties of Novel Materials at High Compression newlineProf. B. K. Pandey and Dr. A.K. Gupta newlineMay, 2025 newlineDuring the last two decades, researchers have found a new emerging field of research as Equation of state which changed our thinking about the physical phenomenon at low dimensions of the materials and high compression and pressure. This new emerging field found special attention among the researchers. This field of research is very wide and interdisciplinary having demanding applications in the industries and mechanical engineering. The field of Equation of state is very interesting and exciting due to its strong size, Pressure and compression dependence of materials at the extreme pressure. Unfortunately, it can t be described and explained successfully by normal theories used for the materials at their bulk level. The surprising behavior of materials at the range of high pressure and compression is due to the change in bond length and elastic constants. There are various models like Murnaghan EOS, Vinet EOS, Kholiya EOS, Shanker EOS, Holzapfel EOS, Birch EOS, Birch-Murnaghan EOS and Born-Mie EOS have been developed to explain the unusual behavior of solids but still, there is no suitable theoretical model which could explain and describe the unusual behavior of solids at different segment of their sizes at extremum pressures. It is also noticed that none of the existing model can describe the thermophysical properties for all the solids at their different compression range. As we know the bulk modulus and pressure derivative of bulk modulus is a very important mechanical parameter that plays an important role to predict the various thermophysical properties, viz. melting point, Debye temperature, melting enthalpy, entropy, specific heats, therma