Get your next eBook for only 9.99! Stock up on Springer Protocols! Available through Aug 17, 2018.

Fundamentals of the Mechanics of Solids

Authors: Mariano, Paolo Maria, Galano, Luciano

  • Based on the authors’ many years of experience teaching courses on the mechanics of solids and what they found to work best for students
  • Takes a deductive rather than inductive approach and starts from a few first, foundational principles
  • Exercises organized in a way that will allow students to form a link between abstract mathematical concepts and real-world applications
see more benefits

Buy this book

eBook $59.99
price for USA in USD (gross)
  • ISBN 978-1-4939-3133-0
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $74.99
price for USA in USD
  • ISBN 978-1-4939-3132-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $79.99
price for USA in USD
  • ISBN 978-1-4939-4718-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.

About the authors

Prof. Dr. Paolo Maria Mariano teaches Mechanics of Solids and Theoretical Mechanics in the School of Engineering at the University of Florence. He is also coordinator of the Research Group in Theoretical Mechanics of the Mathematics Research Center “E. De Giorgi” of the Scuola Normale Superiore in Pisa. His research interests cover continuum mechanics of simple and complex materials, thermodynamics, applied calculus of variations, and applied differential geometry.

Prof. Dr. Luciano Galano is a senior researcher in the School of Engineering at the University of Florence, where he teaches Mechanics of Masonry. His research interests cover the mechanics of masonry structures, the dynamics of structures subjected to earthquakes, the mechanics of concrete, and computational mechanics.


Reviews

“It provides an excellent introduction to the fundamentals of mechanics of continua on the basis of applied mechanics. … The book is aimed at students and teaching staff as well as practicing civil and structural engineers. Its purpose is to handle new models, and new mechanical theories. Various applications, examples and also a number of exercises for the reader to solve independently helps to achieve this aim of the book.” (Stan Chirita, zbMATH 1334.74001, 2016)


Table of contents (9 chapters)

  • Bodies, Deformations, and Strain Measures

    Mariano, Paolo Maria (et al.)

    Pages 1-67

  • Observers

    Mariano, Paolo Maria (et al.)

    Pages 69-74

  • Forces, Torques, Balances

    Mariano, Paolo Maria (et al.)

    Pages 75-110

  • Constitutive Structures: Basic Aspects

    Mariano, Paolo Maria (et al.)

    Pages 111-146

  • Topics in Linear Elasticity

    Mariano, Paolo Maria (et al.)

    Pages 147-169

Buy this book

eBook $59.99
price for USA in USD (gross)
  • ISBN 978-1-4939-3133-0
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $74.99
price for USA in USD
  • ISBN 978-1-4939-3132-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $79.99
price for USA in USD
  • ISBN 978-1-4939-4718-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Fundamentals of the Mechanics of Solids
Authors
Copyright
2015
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4939-3133-0
DOI
10.1007/978-1-4939-3133-0
Hardcover ISBN
978-1-4939-3132-3
Softcover ISBN
978-1-4939-4718-8
Edition Number
1
Number of Pages
XXIII, 422
Topics