Introduction to unified mechanics theory with applications This text describes the mathematical formulation and proof of the unified mechanics theory (UMT) which is based on the ab initio level unification of Newton’s laws and the laws of thermodynamics. It also presents formulations and experimental verifications of the theory for thermal mechanical electrical corrosion chemical and fatigue loads and it discusses why the original universal laws of motion proposed by Isaac Newton in 1687 are incomplete. The author provides concrete examples such as how Newton’s second law F = ma gives the initial acceleration of a soccer ball kicked by a player but does not tell us how and when the ball would come to a stop. Throughout Introduction to Unified Mechanics Theory Dr. Basaran illustrates that Newtonian mechanics does not account for the thermodynamic changes happening in a system over its usable lifetime. And in this context this book explains how to design a system to perform its intended functions safely over its usable lifetime and predicts the expected lifetime of the system without using empirical models a process is currently done using Newtonian mechanics and empirical degradation failure fatigue models which are curve fit to test data. Written as a textbook suitable for upper level undergraduate mechanics courses as well as first year graduate level courses this book is the result of over 30 years of scientific activity with the contribution of dozens of scientists from around the world including the USA Russia Ukraine Belarus Spain China India and the U.K. Presents continuum mechanics through an explanation of the unified mechanics theory with extensive experimental validation and finite element implementation using real world examples Draws the connections to the thermodynamics of degradation in solids from the mathematical and microstructural perspective Discusses shortcomings and incompleteness of Newton’s universal laws of motion Posits why the space time coordinate system is insufficient to describe organic and inorganic systems and modifies Newtonian space time with the introduction of an additional axis (Thermodynamic State Index axis).