Solid mechanics, a cornerstone of continuum mechanics, investigates the behavior of solid materials under various external and internal influences. With applications spanning civil, aerospace, nuclear, and mechanical engineering, as well as geology, materials science, and biology, solid mechanics plays a crucial role in understanding natural phenomena and designing practical solutions. This comprehensive book offers in-depth insights into the theory and practice of solid mechanics, covering topics such as the particle-in-cell method, semisolid processing, continuum mechanics, and finite element methods. By delving into diverse applications like drying mechanisms, mechanochemical syntheses, and stir-welding processes, it provides a holistic view of the subject's relevance across different disciplines. With examples highlighting the most relevant methods and offering insights into the underlying physics, the book caters to students seeking a deeper understanding of solid mechanics. It addresses varied branches within the subject area, providing invaluable insights and knowledge for those interested in exploring this foundational field