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Nonlinear Deformable-body Dynamics

  • Book
  • © 2010

Overview

Authors:
  1. Albert C. J. Luo

    1. Department of Mechanical and Industrial Engineering, Southern Illinois University Edwardsuille, Edwardsville, USA

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  • 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

Part of the book series: Nonlinear Physical Science (NPS)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xi
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  2. Introduction

    • Albert C. J. Luo
    Pages 1-18

  3. Tensor Analysis

    • Albert C. J. Luo
    Pages 19-73

  4. Deformation, Kinematics and Dynamics

    • Albert C. J. Luo
    Pages 75-131

  5. Constitutive Laws and Damage Theory

    • Albert C. J. Luo
    Pages 135-160

  6. Nonlinear Cables

    • Albert C. J. Luo
    Pages 161-199

  7. Nonlinear Plates and Waves

    • Albert C. J. Luo
    Pages 201-263

  8. Nonlinear Webs, Membranes and Shells

    • Albert C. J. Luo
    Pages 265-316

  9. Nonlinear Beams and Rods

    • Albert C. J. Luo
    Pages 317-381

  10. Back Matter

    Pages 383-392
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Keywords

About this book

"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.

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)

Authors and Affiliations

  • Department of Mechanical and Industrial Engineering, Southern Illinois University Edwardsuille, Edwardsville, USA

    Albert C. J. Luo

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