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Advanced Mechanics of Solids
Analytical and Numerical Solutions with MATLAB®
Build on elementary mechanics of materials texts with this treatment of the analysis of stresses and strains in elastic bodies.
Lester W. Schmerr Jr. (Author)
9781108843317, Cambridge University Press
Hardback, published 18 February 2021
578 pages, 300 b/w illus.
25.2 x 19.4 x 3.3 cm, 1.37 kg
'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
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.
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.
Subject Areas: Mechanics of fluids [TGMF], Mechanics of solids [TGMD], Materials science [TGM], Mechanical engineering & materials [TG]