Unified Approach to Deformable Solids

This lecture delves into the unified approach to describing fluids and deformable solids, exploring the concept of dislocations and topological defects within crystalline structures. The instructor presents a mathematical framework to understand the behavior of materials at a microscopic level, discussing the quantification of dislocations and their impact on material properties. By introducing charges of torsion and curvature, the lecture connects these concepts to fundamental physics theories, such as electromagnetism and gravitation, offering a unique perspective on the deformation of solids. Through detailed equations and examples, the audience gains insight into the complex dynamics of deformable materials and the role of topological defects in shaping their behavior.