Mathematical Models in Elastic Plastic and Creep Transition Problems

Abstract

newlineThis thesis delves into the mathematical modeling of transition phenomena encountered in the mechanical behavior of materials, with a particular focus on the transitions between elasticity, plasticity, and creep. The study investigates the underlying principles governing these transitions and endeavors to develop comprehensive mathematical frameworks to describe and predict them accurately. Through a combination of analytical techniques and numerical simulations, various aspects of material response under diverse loading conditions are explored. The research aims to elucidate the complex interplay between elastic, plastic, and creep behaviors, shedding light on the mechanisms driving these transitions and their implications for material performance. By refining mathematical models to capture the intricacies of these phenomena, the thesis contributes to advancing the understanding of material behavior and facilitating more accurate predictions in engineering applications. Furthermore, insights gained from this study can inform the design of structures and components to ensure optimal performance and durability in real-world scenarios.