Fundamentals of the Mechanics of Solids

  • Paolo Maria Mariano
  • Luciano Galano

Table of contents

  1. Front Matter
    Pages i-xxiii
  2. Paolo Maria Mariano, Luciano Galano
    Pages 1-67
  3. Paolo Maria Mariano, Luciano Galano
    Pages 69-74
  4. Paolo Maria Mariano, Luciano Galano
    Pages 75-110
  5. Paolo Maria Mariano, Luciano Galano
    Pages 111-146
  6. Paolo Maria Mariano, Luciano Galano
    Pages 147-169
  7. Paolo Maria Mariano, Luciano Galano
    Pages 171-248
  8. Paolo Maria Mariano, Luciano Galano
    Pages 249-257
  9. Paolo Maria Mariano, Luciano Galano
    Pages 259-371
  10. Paolo Maria Mariano, Luciano Galano
    Pages 373-383
  11. Back Matter
    Pages 385-422

About this book

Introduction

This distinctive textbook aims to introduce readers to the basic structures of the mechanics of deformable bodies, with a special emphasis on the description of the elastic behavior of simple materials and structures composed by elastic beams.  The authors take a deductive rather than inductive approach and start from a few first, foundational principles.  A wide selection of exercises, many with hints and solutions, are provided throughout and organized in a way that will allow readers to form a link between abstract mathematical concepts and real-world applications.

The text begins with the definition of bodies and deformations, keeping the kinematics of rigid bodies as a special case; the authors also distinguish between material and spatial metrics, defining each one in the pertinent space.  Subsequent chapters cover observers and classes of possible changes; forces, torques, and related balances, which are derived from the invariance under classical changes in observers of the power of the external actions over a body, rather than postulated a priori; constitutive structures; variational principles in linear elasticity; the de Saint-Venant problem; yield criteria and a discussion of their role in the representation of material behavior; and an overview of some bifurcation phenomena, focusing on the Euler rod.  An appendix on tensor algebra and tensor calculus is included for readers who need a brief refresher on these topics.

Fundamentals of the Mechanics of Solids is primarily intended for graduate and advanced undergraduate students in various fields of engineering and applied mathematics.  Prerequisites include basic courses in calculus, mathematical analysis, and classical mechanics.

Keywords

Continuum Mechanics Elastodynamics Linear Elasticity Mechanics of Solids Models of Rods de Saint-Venant Problem

Authors and affiliations

  • Paolo Maria Mariano
    • 1
  • Luciano Galano
    • 2
  1. 1.DICeAUniversity of FlorenceFirenzeItaly
  2. 2.DICeAUniversity of FlorenceFirenzeItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4939-3133-0
  • Copyright Information Springer Science+Business Media New York 2015
  • Publisher Name Birkhäuser, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4939-3132-3
  • Online ISBN 978-1-4939-3133-0
  • About this book
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