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© 2010

Nonlinear Deformable-body Dynamics

Benefits

  • Develops a concise and self contained introduction to nonlinear deformable-body dynamics different from Cosserat theory

  • Accessible to interdisciplinary audience due to the user friendly presentation and instructive examples

  • Reduces to established theories from Kirchhoff and Cosserat theories

Book

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

  1. 1.Department of Mechanical and Industrial EngineeringSouthern Illinois University EdwardsuilleEdwardsvilleUSA

Bibliographic information

Industry Sectors
Energy, Utilities & Environment
Engineering

Reviews

From the reviews:

“This book is a mathematical treatise of approximate theories for thin deformable bodies, including cables, beams, rods, webs, membranes, plates and shells. … At the end of each chapter, a large number of references are given for further studies. The book presents a theoretic frame to develop accurate theories of beams and rods and approximate theories of plates and shells. … serve as a reference work for researchers and as a textbook for senior and postgraduate students in physics, mathematics, engineering and biophysics.” (Girish Ramaiah, Zentralblatt MATH, Vol. 1206, 2011)