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Residual stresses are an important subject in materials science and engineering that has implications across disciplines, from quantum dots to human teeth, from aero-engines to automotive surface finishing. Although a number of monographs exist, no resource is available in the form of a book to serve as a good basis for teaching the fundamentals. A Teaching Essay on Residual Stresses and Eigenstrains introduces eigenstrain as a powerful unified approach to residual stress modelling, measurement and management. Starting with simple residual stress states, the key relationships are elucidated between deformation processes, inelastic strains (eigenstrains) these may introduce, and the resulting residual stress states. This book is written not only for the materials scientist, mechanical engineer, and student seeking to understand the origins of residual stress, but also for the more mature researcher and industrial engineer looking to better understand the eigenstrain approach for describing residual stress Provides a unified basis for understanding the fundamentals of residual stress origins and consequencesClassification of the most important residual stress states and their efficient description, as well as discussing measurement approaches, their limitations and usesApproaches in a systematic way the nature and application of eigenstrain methods for describing residual stress field