Nonlinear Deformable-body Dynamics

  • Albert C. J. Luo

Part of the Nonlinear Physical Science book series (NPS, volume 0)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Albert C. J. Luo
    Pages 1-18
  3. Albert C. J. Luo
    Pages 19-73
  4. Albert C. J. Luo
    Pages 75-131
  5. Albert C. J. Luo
    Pages 135-160
  6. Albert C. J. Luo
    Pages 161-199
  7. Albert C. J. Luo
    Pages 201-263
  8. Albert C. J. Luo
    Pages 265-316
  9. Albert C. J. Luo
    Pages 317-381
  10. Back Matter
    Pages 383-392

About this book

Introduction

"Nonlinear Deformable-body Dynamics" mainly consists in a mathematical treatise of approximate theories for thin deformable bodies, including cables, beams, rods, webs, membranes, plates, and shells. The intent of the book is to stimulate more research in the area of nonlinear deformable-body dynamics not only because of the unsolved theoretical puzzles it presents but also because of its wide spectrum of applications. For instance, the theories for soft webs and rod-reinforced soft structures can be applied to biomechanics for DNA and living tissues, and the nonlinear theory of deformable bodies, based on the Kirchhoff assumptions, is a special case discussed. This book can serve as a reference work for researchers and a textbook for senior and postgraduate students in physics, mathematics, engineering and biophysics. Dr. Albert C.J. Luo is a Professor of Mechanical Engineering at Southern Illinois University, Edwardsville, IL, USA. Professor Luo is an internationally recognized scientist in the field of nonlinear dynamics in dynamical systems and deformable solids.

Keywords

Deformable-body dynamics Differential geometry deformable-bodies HEP NPS Soft deformable-bodies biophysics dynamical systems equivalence principles mechanics nonlinear beams rods nonlinear dynamics plates shells resonant waves

Authors and affiliations

  • Albert C. J. Luo
    • 1
  1. 1.Department of Mechanical and Industrial EngineeringSouthern Illinois University EdwardsuilleEdwardsvilleUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-12136-4
  • Copyright Information Springer-Verlag Berlin Heidelberg 2010
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-642-12135-7
  • Online ISBN 978-3-642-12136-4
  • Series Print ISSN 1867-8440
  • About this book