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Advanced Mechanics of Solids

Advanced Mechanics of Solids

Advanced Mechanics of Solids

Analytical and Numerical Solutions with MATLAB®
Lester W. Schmerr Jr., Iowa State University
February 2021
Hardback
9781108843317

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    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.

    • Students are encouraged to use tools outside of problem solving using calculators; MATLAB® is integrated throughout the text and is used to solve stress and strain concepts
    • Aims to teach students to think like engineers, and employs a step-by-step methodology based on fundamental principles applied throughout the book
    • Provides a unique approach involving both the traditional displacement-based, and the more recent force-based analytical and numerical solutions
    • Instructors will appreciate the complete online teaching package that includes slides, a solutions manual and MATLAB® code

    Reviews & endorsements

    '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

    See more reviews

    Product details

    February 2021
    Hardback
    9781108843317
    578 pages
    252 × 194 × 33 mm
    1.37kg
    300 b/w illus.
    Available

    Table of Contents

    • 1. Introduction
    • 2. Stress
    • 3. Equilibrium
    • 4. Strain
    • 5. Stress-Strain Relations
    • 6. Governing Equations and Boundary Conditions
    • 7. Analytical Solutions
    • 8. Work-Energy Concepts
    • 9. Computational Mechanics of Deformable Bodies
    • 10. Unsymmetrical Beam Bending
    • 11. Uniform and Non-Uniform Torsion
    • 12. Combined Deformations.
      Author
    • Lester W. Schmerr Jr. , Iowa State University

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