Advanced Mechanics of Solids

Build on the foundations of elementary mechanics of materials texts with this modern textbook that covers the analysis of stresses and strains in elastic bodies. Discover how all analyses of stress and strain are based on the four pillars of equilibrium, compatibility, stress-strain relations, and boundary conditions. These four principles are discussed and provide a bridge between elementary analyses and more detailed treatments with the theory of elasticity. Using MATLAB® extensively throughout, the author considers three-dimensional stress, strain and stress-strain relations in detail with matrix-vector relations. Based on classroom-proven material, this valuable resource provides a unified approach useful for advanced undergraduate students and graduate students, practicing engineers, and researchers.

'The book 'Advanced Mechanics of Solids' by Lester W. Schmerr Jr presents a comprehensive, modern, well-thought-out, and concise approach to the analysis of deformable bodies. The book presents both a detailed description of stated problems and a big picture of the mechanics of solids by highlighting basic principles governing deformable bodies. It shows solutions of elementary and advance systems, introduces analytical results and computational methods, and presents classical equilibrium and compatibility equations as well as a work-energy approach. The book is concluded with failure and stability theories. All that packed into six hundred well-written pages. Moreover, many problems are accompanied with Matlab® codes, the standard language of modern engineering computations. I can recommend this book with no hesitation.' Grzegorz Orzechowski, LUT University, 'A considerable amount of detailed derivations of main relations – alongside step-by-step solutions for multiple examples employing advanced theoretical approaches – makes this book especially useful for self-learning and revision. The author consistently uses a set of basic principles, termed 'four pillars' (local stress equilibrium, strain compatibility equations, stress–strain relations, and boundary conditions), as a fundamental framework to cover the main topics of mechanics of solids and to solve multiple problems – from elementary to advanced.' Vadim Silberschmidt, Loughborough University

Lester W. Schmerr, Jr, is Emeritus Professor of Aerospace Engineering at Iowa State University.