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© 2006

Models of Mechanics

Benefits

  • A new universal approach to modelling in mechanics

  • A larger scope than existing texts on continuum mechanics

  • Gives a step-by-step approach to modelling

  • Gives a platform for deriving new models of applied use

  • Novel treatments of classical models off, e.g., pipe flow and beams

Book
  • 11k Downloads

Table of contents

  1. Front Matter
    Pages i-xii
  2. General Background

    1. Front Matter
      Pages 1-1
    2. Pages 3-10
    3. Pages 11-17
  3. Basic Models: Geometry and Universal Laws

    1. Front Matter
      Pages 19-19
    2. Pages 31-43
    3. Pages 45-61
    4. Pages 63-76
  4. Complete Models by Adding Particular Laws

    1. Front Matter
      Pages 87-87
    2. Pages 89-98
    3. Pages 127-136
  5. Back Matter
    Pages 175-213

About this book

Keywords

Finite-Elemente-Methode engineering mechanics fluid mechanics geometry mechanics mechatronics model modeling optimization partial differential equation

Authors and affiliations

  1. 1.Department of Mechanical EngineeringLinköping UniversitySweden

Bibliographic information

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Reviews

From the reviews:

"Mathematical modeling is usually described as an art rather than a science. Models of Mechanics, by Anders Klarbring, shows that there is indeed a science of mathematical modeling. While the book is obviously focused on developing models specifically for mechanics, it has a broader value as a general exposition of mathematical modeling. For this reason, this small book belongs on the bookshelves of mathematical modelers who do not work in mechanics, as well as those that do." (Glenn Ledder, SIAM Review, Vol. 49 (3), 2007)

“Klarbring’s book is a clear and concise introduction into the foundations of classical mechanics for discrete particles, fluids, and solids … . It is aimed at the intermediate level … seasoned researchers will appreciate the philosophically unified approach to the various systems that are considered. … the text succeeds in providing a unified approach to the modeling of mechanical processes for a broad class of materials and systems.” (Thomas Pence, Meccanica, Vol. 44, 2009)