This book entitled Mechanics of Elastic Solids is written as a textbook of the course “Elasticity” or “Theory of Elasticity” or “Elasticity Mechanics” for relevant engineering majors. It can also be used as a professional book for relevant technical persons. It mainly introduces elasticity theory, including stress analysis, deformation analysis, constitutive relations, elasticity model construction for actual problems, solutions for infinitesimal plane stress and strain problems, three-dimensional problems, multiphysics field problems, variation principle in elasticity, thin plate, and cylindrical shells. The rapid and continuous advancements in numerical methods and computer power have diminished the significance of certain analytical solutions in elasticity problems.. Therefore, this book simplifies some traditional contents such as the solution of plane problems and twist of cylinder. Instead, some new topics which are important for real-world problems are introduced, such as the accurate description of finite deformation, constitutive equations for small strain but large rotation problems, hyperelasticity, procedural steps and general methodologies for model construction of real-world problems, and multiphysics field problems. A plenty of examples is prepared in this book for comprehensive understanding.